Patent Grant
11366345
The subject matter disclosed herein relates to the field of quantum computing and more particularly relates to quantum interaction gates used to perform quantum functions and operations.
Quantum computers are machines that perform computations using the quantum effects between elementary particles, e.g., electrons, holes, ions, photons, atoms, molecules, etc. Quantum computing utilizes quantum-mechanical phenomena such as superposition and entanglement to perform computation. Quantum computing is fundamentally linked to the superposition and entanglement effects and the processing of the resulting entanglement states. A quantum computer is used to perform such computations which can be implemented theoretically or physically.
Currently, analog and digital are the two main approaches to physically implementing a quantum computer. Analog approaches are further divided into quantum simulation, quantum annealing, and adiabatic quantum computation. Digital quantum computers use quantum logic gates to do computation. Both approaches use quantum bits referred to as qubits.
Qubits are fundamental to quantum computing and are somewhat analogous to bits in a classical computer. Qubits can be in a |0> or |1> quantum state but they can also be in a superposition of the |0> and |1> states. When qubits are measured, however, they always yield a |0> or a |1> based on the quantum state they were in.
The key challenge of quantum computing is isolating such microscopic particles, loading them with the desired information, letting them interact and then preserving the result of their quantum interaction. This requires relatively good isolation from the outside world and a large suppression of the noise generated by the particle itself. Therefore, quantum structures and computers operate at very low temperatures (e.g., cryogenic), close to the absolute zero kelvin (K), in order to reduce the thermal energy/movement of the particles to well below the energy/movement coming from their desired interaction. Current physical quantum computers, however, are very noisy and quantum error correction is commonly applied to compensate for the noise.
Most existing quantum computers use superconducting structures to realize quantum interactions. Their main drawbacks, however, are the fact that superconducting structures are very large and costly and have difficulty in scaling to quantum processor sizes of thousands or millions of quantum-bits (qubits). Furthermore, they need to operate at few tens of milli-kelvin (mK) temperatures, that are difficult to achieve and where it is difficult to dissipate significant power to operate the quantum machine.
The present invention describes several quantum structures that provide various control functions. Particles are brought into close proximity so they can interact with one another. Particles relatively far away one from the other have small or negligible interaction. Two or more quantum particles or states brought in close proximity will interact and exchange information. Such particles are “entangled” as each particle carries information from all particles that interacted. After entanglement, the particles are moved away from each other but they still carry the information contained initially. Measurement and detection is performed on the particles from the entangled ensemble to determine whether the particle is present or not in a given qdot.
A quantum interaction gate is a circuit or structure operating on a relatively small number of qubits. The type of quantum interaction gate is given both by the physical/geometrical structure of the gate and by the corresponding control signal. A given geometrical structure may perform different quantum interaction gate functions depending on the control signals applied, including their shape, amplitude, pulse width, duration, position, etc.
Quantum interaction gates implement several quantum functions including a controlled NOT gate, quantum annealing gate, controlled SWAP gate, a controlled rotation (i.e. controlled Pauli) gate, and ancillary gate. These quantum interaction gates can have numerous shapes including double V shape, H shape, X shape, L shape, I shape, etc.
Quantum annealing is the operation of finding the minima of a given function over a given set of candidate solutions using the quantum fluctuation method. The SWAP quantum, interaction gate functions to permute the incoming quantum states. The Pauli quantum interaction gate is a single qubit quantum interaction gate that performs rotation about the z, y, and x axis. Ancillary or ancilla qubits have an unknown value a priori. The Hadamard equal distribution quantum state is an example of an ancilla qubit.
This, additional, and/or other aspects and/or advantages of the embodiments of the present invention are set forth in the detailed description which follows; possibly inferable from the detailed description; and/or learnable by practice of the embodiments of the present invention.
There is thus provided in accordance with the invention, a controlled Pauli rotation quantum interaction gate, comprising a substrate, a first qubit having a first qubit structure with two qdots and associated first control gate fabricated on said substrate and including at least a first interaction qdot and at least one first qubit particle in a base state or split general quantum state, a second qubit having a first qubit structure with two qdots and associated second control gate fabricated on said substrate and including a second interaction qdot and at least one second qubit particle in a base state or split general quantum state, said second qubit located in sufficient proximity to said first qubit to enable interaction between said first qubit particle and said second qubit particle, and a control circuit operative to generate control signals for said first control gate and said second control gate whereby said first qubit functions as a control qubit and said second qubit undergoes a controlled quantum rotation.
There is also provided in accordance with the invention, a controlled Pauli rotation quantum interaction gate, comprising a substrate, a first qubit structure having a first plurality of qdots and associated first control gates fabricated on said substrate and including at least one interaction qdot, a second target qubit structure having a second plurality of qdots and associated second control gates fabricated on said substrate and including at least one interaction qdot, wherein said interaction qdots are located in sufficiently close proximity to enable interaction between two particles located therein, and a control circuit operative to generate control signals for said first control gate and said second control gate whereby said first qubit functions as a control qubit and said second target qubit undergoes quantum rotation.
There is further provided in accordance with the invention, a method of controlled Pauli rotation interaction, comprising providing a substrate, fabricating on said substrate a first qudit having a first plurality of qdots and associated first control gates including an interaction qdot, fabricating on said substrate a second qudit having a second plurality of qdots and associated second control gates including an interaction qdot, wherein said interaction qdots are located in sufficiently close proximity to each other to enable interaction between two particles located therein, and generating control signals for said first control gate and said second control gate whereby said first qubit functions as a control qubit and said second qubit undergoes quantum rotation.
The present invention is explained in further detail in the following exemplary embodiments and with reference to the figures, where identical or similar elements may be partly indicated by the same or similar reference numerals, and the features of various exemplary embodiments being combinable. The invention is herein described, by way of example only, with reference to the accompanying drawings, wherein:
In the following detailed description, numerous specific details are set forth in order to provide a thorough understanding of the invention. It will be understood by those skilled in the art, however, that the present invention may be practiced without these specific details. In other instances, well-known methods, procedures, and components have not been described in detail so as not to obscure the present invention.
Among those benefits and improvements that have been disclosed, other objects and advantages of this invention will become apparent from the following description taken in conjunction with the accompanying figures. Detailed embodiments of the present invention are disclosed herein; however, it is to be understood that the disclosed embodiments are merely illustrative of the invention that may be embodied in various forms. In addition, each of the examples given in connection with the various embodiments of the invention which are intended to be illustrative, and not restrictive.
The subject matter regarded as the invention is particularly pointed out and distinctly claimed in the concluding portion of the specification. The invention, however, both as to organization and method of operation, together with objects, features, and advantages thereof, may best be understood by reference to the following detailed description when read with the accompanying drawings.
The figures constitute a part of this specification and include illustrative embodiments of the present invention and illustrate various objects and features thereof. Further, the figures are not necessarily to scale, some features may be exaggerated to show details of particular components. In addition, any measurements, specifications and the like shown in the figures are intended to be illustrative, and not restrictive. Therefore, specific structural and functional details disclosed herein are not to be interpreted as limiting, but merely as a representative basis for teaching one skilled in the art to variously employ the present invention. Further, where considered appropriate, reference numerals may be repeated among the figures to indicate corresponding or analogous elements.
Because the illustrated embodiments of the present invention may for the most part, be implemented using electronic components and circuits known to those skilled in the art, details will not be explained in any greater extent than that considered necessary, for the understanding and appreciation of the underlying concepts of the present invention and in order not to obfuscate or distract from the teachings of the present invention.
Any reference in the specification to a method should be applied mutatis mutandis to a system capable of executing the method. Any reference in the specification to a system should be applied mutatis mutandis to a method that may be executed by the system.
Throughout the specification and claims, the following terms take the meanings explicitly associated herein, unless the context clearly dictates otherwise. The phrases “in one embodiment,” “in an example embodiment,” and “in some embodiments” as used herein do not necessarily refer to the same embodiment(s), though it may. Furthermore, the phrases “in another embodiment,” “in an alternative embodiment,” and “in some other embodiments” as used herein do not necessarily refer to a different embodiment, although it may. Thus, as described below, various embodiments of the invention may be readily combined, without departing from the scope or spirit of the invention.
In addition, as used herein, the term “or” is an inclusive “or” operator, and is equivalent to the term “and/or,” unless the context clearly dictates otherwise. The term “based on” is not exclusive and allows for being based on additional factors not described, unless the context clearly dictates otherwise. In addition, throughout the specification, the meaning of “a,” “an,” and “the” include plural references. The meaning of “in” includes “in” and “on.”
The following definitions apply throughout this document.
A quantum particle is defined as any atomic or subatomic particle suitable for use in achieving the controllable quantum effect. Examples include electrons, holes, ions, photons, atoms, molecules, artificial atoms. A carrier is defined as an electron or a hole in the case of semiconductor electrostatic qubit. Note that a particle may be split and present in multiple quantum dots. Thus, a reference to a particle also includes split particles.
In quantum computing, the qubit is the basic unit of quantum information, i.e. the quantum version of the classical binary bit physically realized with a two-state device. A qubit is a two state quantum mechanical system in which the states can be in a superposition. Examples include (1) the spin of the particle (e.g., electron, hole) in which the two levels can be taken as spin up and spin down; (2) the polarization of a single photon in which the two states can be taken to be the vertical polarization and the horizontal polarization; and (3) the position of the particle (e.g., electron) in a structure of two qdots, in which the two states correspond to the particle being in one qdot or the other. In a classical system, a bit is in either one state or the other. Quantum mechanics, however, allows the qubit to be in a coherent superposition of both states simultaneously, a property fundamental to quantum mechanics and quantum computing. Multiple qubits can be further entangled with each other.
A quantum dot or qdot (also referred to in literature as QD) is a nanometer-scale structure where the addition or removal of a particle changes its properties is some ways. In one embodiment, quantum dots are constructed in silicon semiconductor material having typical dimension in nanometers. The position of a particle in a qdot can attain several states. Qdots are used to form qubits and qudits where multiple qubits or qudits are used as a basis to implement quantum processors and computers.
A quantum interaction gate is defined as a basic quantum logic circuit operating on a small number of qubits or qudits. They are the building blocks of quantum circuits, just like the classical logic gates are for conventional digital circuits.
A qubit or quantum bit is defined as a two state (two level) quantum structure and is the basic unit of quantum information. A qudit is defined as a d-state (d-level) quantum structure. A qubyte is a collection of eight qubits.
The terms control gate and control terminal are intended to refer to the semiconductor structure fabricated over a continuous well with a local depleted region and which divides the well into two or more qdots. These terms are not to be confused with quantum gates or classical FET gates.
Unlike most classical logic gates, quantum logic gates are reversible. It is possible, however, although cumbersome in practice, to perform classical computing using only reversible gates. For example, the reversible Toffoli gate can implement all Boolean functions, often at the cost of having to use ancillary bits. The Toffoli gate has a direct quantum equivalent, demonstrating that quantum circuits can perform all operations performed by classical circuits.
A quantum well is defined as a low doped or undoped continuous depleted semiconductor well that functions to contain quantum particles in a qubit or qudit. The quantum well may or may not have contacts and metal on top. A quantum well holds one free carrier at a time or at most a few carriers that can exhibit single carrier behavior.
A classic well is a medium or high doped semiconductor well contacted with metal layers to other devices and usually has a large number of free carriers that behave in a collective way, sometimes denoted as a “sea of electrons.”
A quantum structure or circuit is a plurality of quantum interaction gates. A quantum computing core is a plurality of quantum structures. A quantum computer is a circuit having one or more computing cores. A quantum fabric is a collection of quantum structures, circuits, or interaction gates arranged in a grid like matrix where any desired signal path can be configured by appropriate configuration of access control gates placed in access paths between qdots and structures that make up the fabric.
In one embodiment, qdots are fabricated in low doped or undoped continuous depleted semiconductor wells. Note that the term ‘continuous’ as used herein is intended to mean a single fabricated well (even though there could be structures on top of them, such as gates, that modulate the local well's behavior) as well as a plurality of abutting contiguous wells fabricated separately or together, and in some cases might apparently look as somewhat discontinuous when ‘drawn’ using a computer aided design (CAD) layout tool.
The term classic or conventional circuitry (as opposed to quantum structures or circuits) is intended to denote conventional semiconductor circuitry used to fabricate transistors (e.g., FET, CMOS, BJT, FinFET, etc.) and integrated circuits using processes well-known in the art.
The term Rabi oscillation is intended to denote the cyclic behavior of a quantum system either with or without the presence of an oscillatory driving field. The cyclic behavior of a quantum system without the presence of an oscillatory driving field is also referred to as occupancy oscillation.
Throughout this document, a representation of the state of the quantum system in spherical coordinates includes two angles θ and φ. Considering a unitary sphere, as the Hilbert space is a unitary state, the state of the system is completely described by the vector Ψ. The vector Ψ in spherical coordinates can be described in two angles θ and φ. The angle θ is between the vector Ψ and the z-axis and the angle φ is the angle between the projection of the vector on the XY plane and the x-axis. Thus, any position on the sphere is described by these two angles θ and φ. Note that for one qubit angle θ representation is in three dimensions. For multiple qubits θ representation is in higher order dimensions.
Regarding semiconductor processing, numerous types of semiconductor material exist such as (1) single main atom types, e.g., Silicon (Si), Germanium (Ge), etc., and (2) compound material types, e.g., Silicon-Germanium (SiGe), Indium-Phosphide (InP), Gallium-Arsenium (GaAs), etc.
A semiconductor layer is called intrinsic or undoped if no additional dopant atoms are added to the base semiconductor crystal network. A doped semiconductor layer is doped if other atoms (i.e. dopants) are added to the base semiconductor crystal. The type of layer depends on the concentration of dopant atoms that are added: (1) very low doped semiconductor layers having high resistivity, i.e. n-type denoted by n−− and p-type denoted by p−−, having resistivities above 100 Ohm·cm; (2) low doped semiconductor layers, i.e. p-type denoted with p− and n-type denoted with n−, having resistivities around 10 Ohm·cm; (3) medium doped layers, i.e. p for p-type and n for n-type; (4) high doped layers, i.e. p+ and n+; and (5) very highly doped layers, i.e. p++ and n++.
Note that introducing dopants in a semiconductor crystal likely results in defects that introduce energy traps that capture mobile carriers. Traps are detrimental for semiconductor quantum structures because they capture and interact with the quantum particles resulting in decoherence of the quantum information. For realizing semiconductor quantum structures undoped semiconductor layers are preferred.
Classic electronic devices use mostly low, medium, high and very highly doped semiconductor layers. Some layers are ultra-highly doped to behave as metals, such as the gate layer.
Semiconductor processing is typically performed on large semiconductor wafers which have a given thickness for mechanical stability. Circuitry is fabricated on a very thin layer on the top of the wafer where the unused thick portion of the wafer is termed the substrate. In a bulk process, devices are fabricated directly in the semiconductor body of the wafer.
An insulating layer (e.g., oxide) isolates from the substrate the devices used to create circuitry. Semiconductor on insulator process, e.g., silicon on insulator (SOI), uses a layer of insulator (e.g., oxide) between the thin top semiconductor layer where devices are realized and the substrate.
To improve circuit performance, the wafer is processed such that the devices are realized on top of an insulator substrate, e.g., semiconductor-on-glass, semiconductor-on-organic material, semiconductor-on-sapphire, etc.
Alternatively, the semiconductor substrate is eliminated and replaced with a nonelectrical conducting material such as a polymer or other material compatible with a semiconductor process (e.g., substrate-replacement processes). Substrate replacement in realizing semiconductor quantum structures significantly reduces or eliminates substrate decoherence.
High resistivity (i.e. very low doped) substrates are the next best substrate choice for semiconductor quantum structures. Although intrinsic substrates are also suitable for semiconductor quantum structures, there are specific limitations that prevent the use of intrinsic substrates.
Thus, in accordance with the invention, semiconductor quantum structures can be realized in (1) bulk processes, (2) SOI processes, (3) substrate replacement processes, or (4) semiconductor on other materials.
Regarding processing, (1) planar processes may be used where layers have predominantly one orientation, i.e. horizontal; and (2) three-dimensional processes (3D) allow layers with both horizontal and vertical orientation, realizing more complex 3D structures. It is appreciated that although layers are shown in the figures as rectangular prisms for simplicity, physically the layers have more complicated structures. For example, corners are often rounded and distortions are present due to the masking process. In depth dimension, layers tend to have a trapezoidal shape instead of the ideal rectangular one. The semiconductor quantum structures of the present invention can be realized in either planar or 3D processes.
A high-level block diagram illustrating a first example quantum computer system constructed in accordance with the present invention is shown in
Quantum processing unit 38 comprises a plurality of quantum core circuits 60, high speed interface 58, detectors/samplers/output buffers 62, quantum error correction (QEC) 64, digital block 66, analog block 68, correlated data sampler (CDS) 70 coupled to one or more analog to digital converters (ADCs) 74 as well as one or more digital to analog converters (DACs, not shown), clock/divider/pulse generator circuit 42 coupled to the output of clock generator 35 which comprises high frequency (HF) generator 34. The quantum processing unit 38 further comprises serial peripheral interface (SPI) low speed interface 44, cryostat software block 46, microcode 48, command decoder 50, software stack 52, memory 54, and pattern generator 56. The clock generator 33 comprises low frequency (LF) generator 30 and power amplifier (PA) 32, the output of which is input to the quantum processing unit (QPU) 38. Clock generator 33 also functions to aid in controlling the spin of the quantum particles in the quantum cores 60.
The cryostat unit 36 is the mechanical system that cools the QPU down to cryogenic temperatures. Typically, it is made from metal and it can be fashioned to function as a cavity resonator 72. It is controlled by cooling unit control 40 via the external support unit 12. The cooling unit control 40 functions to set and regulate the temperature of the cryostat unit 36. By configuring the metal cavity appropriately, it is made to resonate at a desired frequency. A clock is then driven via a power amplifier which is used to drive the resonator which creates a magnetic field. This magnetic field can function as an auxiliary magnetic field to aid in controlling one or more quantum structures in the quantum core.
The external support unit/software units may comprise any suitable computing device or platform such as an FPGA/SoC board. In one embodiment, it comprises one or more general purpose CPU cores and optionally one or more special purpose cores (e.g., DSP core, floating point, etc.) that that interact with the software stack that drives the hardware, i.e. the QPU. The one or more general purpose cores execute general purpose opcodes while the special purpose cores execute functions specific to their purpose. Main memory comprises dynamic random access memory (DRAM) or extended data out (EDO) memory, or other types of memory such as ROM, static RAM, flash, and non-volatile static random access memory (NVSRAM), bubble memory, etc. The OS may comprise any suitable OS capable of running on the external support unit and software units, e.g., Windows, MacOS, Linux, QNX, NetBSD, etc. The software stack includes the API, the calibration and management of the data, and all the necessary controls to operate the external support unit itself.
The clock generated by the high frequency clock generator 35 is input to the clock divider 42 that functions to generate the signals that drive the QPU. Low frequency clock signals are also input to and used by the QPU. A slow serial/parallel interface (SPI) 44 functions to handle the control signals to configure the quantum operation in the QPU. The high speed interface 58 is used to pump data from the classic computer, i.e. the external support unit, to the QPU. The data that the QPU operates on is provided by the external support unit.
Non-volatile memory may include various removable/non-removable, volatile/nonvolatile computer storage media, such as hard disk drives that reads from or writes to non-removable, nonvolatile magnetic media, a magnetic disk drive that reads from or writes to a removable, nonvolatile magnetic disk, an optical disk drive that reads from or writes to a removable, nonvolatile optical disk such as a CD ROM or other optical media. Other removable/non-removable, volatile/nonvolatile computer storage media that can be used in the exemplary operating environment include, but are not limited to, magnetic tape cassettes, flash memory cards, digital versatile disks, digital video tape, solid state RAM, solid state ROM, and the like.
The computer may operate in a networked environment via connections to one or more remote computers. The remote computer may comprise a personal computer (PC), server, router, network PC, peer device or other common network node, or another quantum computer, and typically includes many or all of the elements described supra. Such networking environments are commonplace in offices, enterprise-wide computer networks, intranets and the Internet.
When used in a LAN networking environment, the computer is connected to the LAN via network interface 76. When used in a WAN networking environment, the computer includes a modem or other means for establishing communications over the WAN, such as the Internet. The modem, which may be internal or external, is connected to the system bus via user input interface, or other appropriate mechanism.
Computer program code for carrying out operations of the present invention may be written in any combination of one or more programming languages, including an object oriented programming language such as Java, Smalltalk, C++, C # or the like, conventional procedural programming languages, such as the “C” programming language, and functional programming languages such as Python, Hotlab, Prolog and Lisp, machine code, assembler or any other suitable programming languages.
Also shown in
In one embodiment, quantum error correction (QEC) is performed via QEC block 64 to ensure no errors corrupt the read out data that is reinjected into the overall quantum state. Errors may occur in quantum circuits due to noise or inaccuracies similarly to classic circuits. Periodic partial reading of the quantum state function to refresh all the qubits in time such that they maintain their accuracy for relatively long time intervals and allow the complex computations required by a quantum computing machine.
It is appreciated that the architecture disclosed herein can be implemented in numerous types of quantum computing machines. Examples include semiconductor quantum computers, superconducting quantum computers, magnetic resonance quantum computers, optical quantum computers, etc. Further, the qubits used by the quantum computers can have any nature, including charge qubits, spin qubits, hybrid spin-charge qubits, etc.
In one embodiment, the quantum structure disclosed herein is operative to process a single particle at a time. In this case, the particle can be in a state of quantum superposition, i.e. distributed between two or more locations or charge qdots. In an alternative embodiment, the quantum structure processes two or more particles at the same time that have related spins. In such a structure, the entanglement between two or more particles could be realized. Complex quantum computations can be realized with such a quantum interaction gate/structure or circuit.
In alternative embodiments, the quantum structure processes (1) two or more particles at the same time having opposite spin, or (2) two or more particles having opposite spins but in different or alternate operation cycles at different times. In the latter embodiment, detection is performed for each spin type separately.
A high level block diagram illustrating a generalized quantum structure interfaced to classical integrated electronic control circuitry is shown in
To achieve quantum operation, physical structures must be cooled to cryogenic temperatures and be isolated as much as possible from environmental perturbations (e.g., external electric fields and/or magnetic fields, etc.). To perform quantum computing using particles in a semiconductor structure, the particles (e.g., electrons, holes, etc.) need to be able to be excited in quantum states and to stay in such states for a long enough time for the operation and measurement of the quantum operation to be realized. At higher temperatures, the thermal energy of the particle results in the decoherence of its quantum state.
In one embodiment, the semiconductor based quantum structure uses a continuous well with an imposing gate that generates a controlled local depletion region to separate two or more regions of the well that form quantum dots (qdots). By modulating the potential of the imposer gate, controlled tunneling through the local depleted region is enabled between the plurality of sections of the continuous well, realizing the function of a position/charge qubit. It is appreciated that more complex structures having a higher number of qdots per continuous well and a larger number of wells can be built using the techniques of the present invention. Both planar and 3D semiconductor processes can be used to build such well-to-well tunneling quantum structures. By combining a number of such elementary quantum structures/gates, a quantum computing machine is realized.
To aid in understanding the principles of the present invention, a brief explanation of quantum operation is presented below.
As stated supra, in classic electronics, the unit of information is a bit that can represent only one of the two states “0” and “1” at a given time. Computations in classical computers are performed sequentially and every bit can hold only one state at a time.
As stated supra, quantum electronics uses the quantum behavior of particles to perform computations. The unit of quantum information is a quantum bit or qubit. A qubit has two or more base states denoted by {circumflex over (0)} and {circumflex over (1)} (or |0> and |1>) but in contrast with a classic bit, a qubit can be in a superposed state that contains some percentage ‘a’ of state {circumflex over (0)}, and some percentage ‘b’ of state {circumflex over (1)}, denoted by a{circumflex over (0)}+b{circumflex over (1)}. Since a qubit in quantum structures can simultaneously be in multiple superposed states, multiple sets of computations can be performed concurrently, resulting in large quantum computation speed-ups, when compared with classic computations.
A quantum particle is described by its position and/or spin. The particles used in quantum structures are called quantum particles. There are qubits based on the quantum position of the particles, also named charge-qubits, while other qubits use the spin of the quantum particles, also named spin-qubits. In quantum structures, the charge carriers are held in specific regions called quantum dots or qdots. A quantum structure is constructed from one or more qdots.
Performing a quantum computation involves several steps. First the structure needs to be reset, which means that all the free carriers (e.g., electrons or holes) from the structure need to be flushed out. Once the free carriers are removed, the structure is initialized meaning particles are introduced in one of the base states (e.g., {circumflex over (0)} or {circumflex over (1)}). In the case of a charge-qubit (position-qubit) it means that a carrier is loaded in one of the qdots. A free carrier not coming from the quantum initialization process can interact with the quantum particles and result in decoherence, i.e. loss of quantum information. After the particles have been loaded in the corresponding base states they undergo the desired quantum operation under control of gate control terminals. Once the desired quantum operations are complete a detection is performed whereby the presence or absence of a particle in a given qdot at a given time is tested. Detection is usually destructive which means that the quantum particle's wavefunction and its state collapse. Special nondestructive detection/measurement exist that do not collapse the quantum state. In such cases, multiple measurements of the same quantum state can be performed.
The position of a quantum particle is given by the region where the particle wave-function is mostly present. In one embodiment, quantum structures use semiconductor qdots realized with semiconductor wells where the particle transport is done through tunneling which is a quantum effect. The tunneling or particle transport is controlled by control terminals. In one embodiment, the control terminals are realized using gates but they may comprise other semiconductor process layers.
To illustrate, consider a generic position double qdot structure having a “dog bone” shape shown in
Note that a key difference between the classic and quantum structures/circuits is that the structure can not only be in the base states |0> and |1>, but also in a superposed position a|0>+b|1>, with a constraint |a|2+|b|2=1, meaning the particle is present simultaneously in both qdots of the structure. When the signal on the control terminal causes a lowering of the tunneling barrier, the particle initially loaded in the left qdot 970 will tunnel to the right qdot 972. The position of the particle and thus the corresponding quantum state is given by the pulse width of the signal Vcontrol applied to the control gate. If the pulse width is long enough, after the particle has tunneled to the right qdot 972 it will tunnel back to the left qdot 970 and then again to the right qdot 972 and the process repeats itself in an oscillatory fashion. The period of this oscillation, called the Rabi oscillation (especially in case of a time-dependent Hamiltonian), depends on the tunnel current and thus on the control signal Vcontrol applied and the configuration and process of the specific structure. The time needed for a particle to tunnel forward and then back to its initial position is called the Rabi period.
The Rabi oscillation after reset but before initialization is shown in
Consider a quantum particle 976 loaded in the left qdot 970 with a base state |0>, as shown in
If the control signal pulse width is equal to half the Rabi period as shown in
If the control pulse width is equal to one quarter of the Rabi period as represented by waveform solid portion 984 trajectory in
If the pulse width of the control signal is less than one quarter the Rabi period as represented by solid waveform portion 986 in
If the position of the particle is represented as a vector of constant length in a circular coordinate system, a vector pointing up represents the |0> base state, while a vector pointing down represents the |1> base state. Any other position is a superposed state that constitutes a quantum rotation operation. As such the double qdot quantum structure with a variable control signal pulse width constitutes a controlled quantum rotation gate.
The initialization of a quantum structure is realized by an interface device (described in more detail infra) having one side connected to classical circuitry and the other side connected to quantum circuitry, i.e. half classic, half quantum. On the classic side, the carriers (e.g., electrons or holes) have a collective behavior, sometimes called a sea of electrons (or holes). On the quantum side, the carriers exhibit single charge carrier or a few carrier behavior and their interaction is based on the laws of quantum mechanics. Injecting exactly a single particle in the quantum structure at a given qdot can be realized through the tunneling effect in the interface device. Once a single particle has tunneled, the electric field changes such that it opposes the tunneling of a subsequent particle. Such behavior of the interface device is critical to be able to inject one or multiple single particles into one or multiple qdots of a given quantum structure.
The pulse width of the control signals can be digitally controlled on the classical side of the circuits and thus determine what kind of quantum operation is performed, resulting in a programmable quantum machine. In this case, the same hardware implementation is able to perform different quantum operations based on the specific control signal applied.
Note that each quantum particle injected into the quantum structure represents a qubit. In the position qubit at least two qdots are needed to implement a qubit. In the general case, structures with N qubits and M qdots can be constructed. The number of injectors, however, should be equal to N if all particles are injected at the same time, or it can be lower than N if the particles are injected at different times.
A diagram illustrating a circular shaped semiconductor quantum structure incorporating local depleted well tunneling is shown in
In one embodiment, the two qdots 102, 104 are linked by a region 108 that is partially or completely locally depleted and in which tunneling occurs as indicated by arrow 109 through the tunneling path. The control gate typically overlaps the tunneling path in order to maintain well-controlled depletion of the entire linking region between the two qdots. This prevents direct electric conduction between the two qdots.
The depletion region is required for quantum operation of the structure. If there were no depletion region, the operation would revert to a classical transistor operation in on/off modes and the particle can normally move from one side to the other. Note that the probability of a particle tunneling through the depletion region is approximately exponentially linked to the width of the depletion region. If the depletion region is very narrow, the particle will tunnel and the quantum operation is achieved. If the depletion region is wide, then there is no tunneling or the tunneling is so weak that it can be neglected. This is also dependent on the tunneling barrier height. For a p-type semiconductor material, placing a positive potential on the gate will repel the holes and create a depletion region. Note that the voltage is necessarily lower than the level that results in the creation of an inversion channel.
The control signals that need to be applied to the gate depend on whether the semiconductor material is p or n type. Consider for example p-type semiconductor material, with no potential on the gate, the particle may be free to tunnel. Placing a positive potential on the gate will repel the particles (i.e. holes) and create the depletion region thereby hindering tunneling. If the potential on the gate is removed or brought closer to zero to zero or made negative, the particles are permitted to tunnel in relation to the potential applied. The operation of the quantum structure is significantly different than that of a conventional transistor.
In one embodiment, the two qdots 102, 104 are realized by a single semiconductor well having a polysilicon gate on top. The tunneling happens laterally or horizontally through the depleted region that isolates the two qdots.
Note also that in one embodiment the well is surrounded by oxide, isolating layers, and/or one or more wide depletion regions that prevent the quantum particle from escaping from the well.
A diagram illustrating the change in the aperture tunnel barrier from a wide depletion region to a narrow depletion region is shown in
A diagram illustrating a first rectangular shaped semiconductor quantum structure incorporating local depleted well tunneling is shown in
The two qdots 122, 124 are linked by a region 128 that is partially or completely locally depleted and in which tunneling occurs as indicated by arrow 129 through the tunneling path. The control gate typically overlaps the tunneling path in order to maintain well-controlled depletion of the entire linking region between the two Qdots. This prevents direct electric conduction between the two qdots.
A diagram illustrating the change in the aperture tunnel barrier from a wide depletion region to a narrow depletion region is shown in
A diagram illustrating a second rectangular shaped semiconductor quantum structure incorporating local depleted well tunneling is shown in
The two qdots 142, 144 are linked by a region 148 that is partially or completely locally depleted and in which tunneling occurs as indicated by arrow 147 through the tunneling path. The control gate typically overlaps the tunneling path in order to maintain well-controlled depletion of the entire linking region between the two Qdots. This prevents direct electric conduction between the two qdots.
A diagram illustrating a cross section of an example semiconductor quantum structure 150 is shown in
Note that the substrate may comprise (1) a semiconductor, (2) silicon on insulator (SOI) substrate, where the substrate comprises sapphire, glass, organic material, etc., (3) an insulating substrate replacement, for example, sapphire, glass, organic material, plastic, polymer, etc., or (4) any other insulating material compatible with a semiconductor process.
Note that regardless of the substrate used, the quantum structure must be electrically isolated from the substrate for the structure to operate properly. Otherwise, the quantum particle may escape thus preventing quantum operation of the structure.
Several ways to electrically isolate the quantum structure include: (1) utilizing an SOI or low doped substrate where the oxide layer electrically isolates the quantum structure from the substrate; (2) using substrate replacement such as an insulator material, e.g., polymer, glass, etc.; and (3) using a fixed depletion region, as the quantum particle can tunnel only through a relatively narrow insulating region such as very thin oxide or a thin depletion region. If the depletion region is too wide, the quantum particle is prevented from traveling. Note that this last option can be fabricated using bulk processes.
The quantum operation is controlled by the gate located over the tunneling path that modulates the barrier created by the local depletion region.
In one embodiment, a low doped substrate interacts with the quantum particle with far and weak interactions. Tunneling of the quantum particle 162 occurs in region 164 between the two qdots formed in the active layer 160 and the tunnel path may be straight through from one qdot to the other (see dashed arrow 168) or may take a path through the gate and back to the active layer (see dashed arrow 169). Alternatively, the substrate may comprise a substrate replacement that includes non-conducting material, e.g., polymer, glass, sapphire, without free charge or ions that can interact with the quantum particle.
In both cases, the active well is preferably isolated on all sides (i.e. typically with oxide) where the particles are permitted to travel only through a narrow link where tunneling occurs.
Alternatively, bulk semiconductor processes are used where the substrate 152 is isolated from the quantum device using a large depleted region under the quantum gate instead of BOX. In another alternative embodiment, the quantum device is placed directly into the substrate. The quantum device can be isolated laterally from other devices using oxide layers 156 (e.g., STI or another preferably low doped well). In another alternative embodiment, a bulk semiconductor quantum structure replaces the substrate with an isolator material 152 having no free carriers or ions that can interact with the quantum particle. In an alternative embodiment, a substrate replacement process or a semiconductor on insulator process can also be used.
The cross section 150 shows the quantum structure with well-to-well tunneling through the local depleted region. It is noted that if the depleted region 164 is wide, then no or negligible tunneling 168 is present. If under the control of the gate the tunneling barrier is lowered and the depletion region gets narrower, a sizeable tunneling current may occur, resulting in the quantum particle tunneling from one qdot to the other.
Note that tunneling is also possible from the well to the gate and then from the gate to the adjacent well, bypassing the local depleted area (arrow 169). The width of the depleted area, however, can be made narrower than the thin gate oxide and thus the predominant tunneling can be made to be through the local depleted region.
In some cases, the gate oxide thickness is reduced using special materials such as hafnium oxide. The tunneling barrier height, however, is still high and tunneling is likely to happen through the depletion layer.
In accordance with the present invention, the quantum structure may comprise numerous shapes and sizes constrained only by design rule check (DRC) of the particular semiconductor process used to fabricate the structure. Several examples of quantum structure shapes, e.g., circles, squares, rectangles, polygons, etc. will now be described. In each case, these shapes can be used for the constituent layers and for one or more qdots making up the quantum structure.
A double qdot quantum structure which is the elementary structure for position qubit quantum computing contains two quantum dots and a tunneling path (often narrow) between them.
A diagram illustrating an example circular shape 170 for the quantum structure of the present invention is shown in
A diagram illustrating an example trapezoidal shape 180 for the quantum structure of the present invention is shown in
A diagram illustrating an example barely touching squares shape 189 for the quantum structure of the present invention is shown in
A diagram illustrating an example barely touching square shape 190 with optical proximity control 192 for the quantum structure of the present invention is shown in
A diagram illustrating an example barely touching rectangular shape 202 for the quantum structure of the present invention is shown in
Several alternative ways of imposing the potential on the control gate will now be described. For illustration purposes only, double overlapping square shapes are used for the qdots. It is appreciated that other shapes may be used with each technique without departing from the scope of the invention. Note that the width of the tunneling section of the continuous well in each case is preferably as small as possible, but can vary in size based on the given DRC of the semiconductor process used.
A diagram illustrating a first example control gate for the quantum structure of the present invention is shown in
A diagram illustrating a second example control gate for the quantum structure of the present invention is shown in
A diagram illustrating a third example control gate for the quantum structure of the present invention is shown in
As described supra, the quantum structure may comprise numerous shapes and sizes constrained only by design rule check (DRC) of the particular semiconductor process used to fabricate the structure. Several examples of quantum structures having one or more control gates will now be described. It is important to note that there is a difference between the shapes drawn in the figures and the physical realized shapes. Further, several factors such as the semiconductor process used contribute to determining the physical shapes realized. Note also that in most cases, the link channel is mandatory for the quantum structures employing tunneling through the depletion region. The link channel, however, may not be present on the layers drawn in the figures.
Each semiconductor quantum structure disclosed uses well-to-well tunneling through a local depleted region. In order to exercise good control over the tunneling effect, the tunneling path section of the well is preferably relatively narrow when compared with the dimensions of the rest of the well that constitutes the qdots. A gate is placed on top of the tunneling path section of the well in which the local depleted region is induced. A complete overlap of the control gate on the tunneling path is preferable in order to have good control over the entire width of the tunneling path and achieve reliable isolation between the two or more sections of the continuous well that implements the quantum dots. The potential on the control gate functions to modulate the width of the local depletion region and to control the tunneling between the two adjacent sections of the well that represent two separate qdots (i.e. well-to-well tunneling). As described supra, this potential is imposed, for example, by another metal layer with no contact to gate 226 (i.e. a floating gate) as shown in
A diagram illustrating an example quantum structure with double square corner touching shape is shown in
A diagram illustrating an example quantum structure with double square shape and optical proximity control is shown in
Note that in general, nanometer semiconductor processes natively yield distortions around corners and the narrow features. Optical correction helps realize physical shapes close to the desired shapes.
A diagram illustrating an example quantum structure with double square and narrow neck shape is shown in
A diagram illustrating a first example quantum structure with double overlapping square shape is shown in
A diagram illustrating a second example quantum structure with double overlapping square shape is shown in
A diagram illustrating an example quantum structure with ‘L’ shape is shown in
A diagram illustrating an example quantum structure with double rounded barely touching square shape is shown in
A diagram illustrating an example quantum structure with double rectangular shape is shown in
A diagram illustrating an example quantum structure with double square connected via double smaller square shape is shown in
A diagram illustrating an example quantum structure with double rounded square with narrow neck shape is shown in
A diagram illustrating an example quantum structure with an overlapping pair of double rounded squares with narrow neck shape is shown in
A diagram illustrating a first example quantum structure with a pair of barely touching double overlapping square shape is shown in
A diagram illustrating a second example quantum structure with a pair of double corner overlapping square shape is shown in
A diagram illustrating a first example quantum structure with a double square shape with narrow neck and butterfly shaped control gate is shown in
A diagram illustrating a second example quantum structure with a double square shape with narrow neck and butterfly shaped control gate is shown in
A diagram illustrating an example quantum structure with a pair of overlapping double square shapes with narrow neck and butterfly shaped control gates is shown in
A diagram illustrating an example conventional field effect transistor (FET) with drain and source doped diffusion and contacts is shown in
Conventional wells have rectangular shapes disposed parallel to each other. In one embodiment, the quantum structure uses (1) staircase well shapes that provide pairs of locations where the interaction between quantum particles/states is very strong and (2) other pairs of locations that have weak or negligible interaction between the particles situated at those locations.
The conventional FET structure, generally referenced 410, comprises drain and source doped diffusion with contacts 412 with metal on top, and gate 416 with contacts 414. This structure results in significantly higher parasitic gate capacitance since it includes the gate-to-metal, gate-to-contact and gate-to diffusion additional components. Note that in classic FET structures, carriers move either through drift under an external electric field or through diffusion due to a gradient of concentration. An inversion channel is created by a relatively large gate voltage.
A diagram illustrating an example half conventional FET and half (potentially) quantum structure is shown in
A diagram illustrating an example quantum structure with rectangular shaped wells is shown in
A diagram illustrating an example quantum structure with dissimilar rectangular shaped wells is shown in
A diagram illustrating an example quantum structure with offset rectangular shaped wells is shown in
Using active wells having different widths on the both sides of the gate reduces the parasitic gate capacitance. A more significant reduction in gate capacitance can be achieved, however, by having an active well structure having a narrow region under the gate and wider regions on either side of the gate.
A diagram illustrating a first example quantum structure with spaced apart rectangular shaped wells is shown in
A diagram illustrating a first example quantum structure with spaced apart rectangular shaped wells offset from each other is shown in
In one embodiment, to further reduce gate capacitance the overlap between the gate and the wider wells on the sides are eliminated. A diagram illustrating a second example quantum structure with spaced apart rectangular shaped wells is shown in
A diagram illustrating a second example quantum structure with spaced apart rectangular shaped wells offset from each other is shown in
As described supra, the quantum structure may be symmetric or asymmetric. The “dog-bone” quantum structure has some overhang of the wider wells passed the edge of the narrow link. The asymmetric dog bone quantum structure does not have any overhang on the narrow link side. A diagram illustrating a third example quantum structure with spaced apart rectangular shaped wells offset from each other is shown in
A diagram illustrating a fourth example quantum structure with spaced apart rectangular shaped wells offset from each other is shown in
Narrow links between the two wider wells may be realized without having them drawn as such. In one embodiment, two wells have a punctual drawn contact but during fabrication a narrow link channel is formed between the two wells using optical proximity correction. A diagram illustrating a first example quantum structure with corner abutting rectangular shaped wells is shown in
A diagram illustrating a second example quantum structure with corner abutting rectangular shaped wells is shown in
Note that it is not mandatory that the two wide wells have a punctual contact in order to obtain a narrow link channel between them. In some cases, it is sufficient that they are placed in very close proximity, and optical proximity correction results in a link channel in the physically realized shapes.
A diagram illustrating a third example quantum structure with corner abutting rectangular shaped wells is shown in
A diagram illustrating a fourth example quantum structure with corner abutting rectangular shaped wells is shown in
Note that the narrow channel link of the induced depletion region separating the two wider quantum wells can have any given orientation, e.g., horizontal, vertical, or any arbitrary angle. In addition, the control gate may overlap the narrow channel link, or it may also overlap the edges of the adjacent wider quantum wells. The former is preferred since it results in a smaller parasitic capacitance and thus a larger Coulomb blockade voltage.
A diagram illustrating a fifth example quantum structure with corner abutting rectangular shaped wells is shown in
A diagram illustrating a sixth example quantum structure with corner abutting rectangular shaped wells is shown in
It is appreciated that the fabrication of the quantum structure examples described supra is not limited to one process only but can be fabricated using any number of semiconductor processes. Examples include (1) planar semiconductor processes with depletion tunneling, (2) planar semiconductor processes with oxide tunneling, (3) 3D (FinFET) semiconductor processes with depletion tunneling, and (4) 3D (FinFET) semiconductor processes with oxide tunneling.
It is important to note that to achieve quantum operation: (1) carriers (electrons or holes) need to be isolated, (2) information needs to be conveyed to the electrons in either their position or spin (or both), and (3) multiple carriers are allowed to interact (i.e. entangle) before a reading (referred to as detection) of the quantum state is performed.
First, single carriers are separated out of the collectivities of carriers that usually exist in semiconductor layers in classic circuits. A semiconductor layer is formed of a network of semiconductor atoms that contribute carriers to a collective of carriers described by an energy band. Dopants are introduced into semiconductor layers in order to enhance the concentration of a given type of carriers. Donor dopants increase the number of electrons yielding an N-type semiconductor layer while acceptor dopants increase the number of holes yielding a P-type semiconductor layer.
When the semiconductor contains a very large number of carriers acting as a collectivity, adding one carrier to the collectivity or subtracting one carrier from the collectivity does not change the potential. To achieve a single carrier (e.g., single electron) behavior it is best that the considered particle does not have a large collectivity of carriers that it can interact with.
An undoped semiconductor or undoped semiconductor layer has a very low concentration of carriers. It still contains a large number of carriers compared with the single carrier that is needed for quantum operations. Doped semiconductor layers have even more carriers and thus are less attractive for single electron operation.
To achieve single carrier behavior in semiconductor layers it is preferable to first deplete them of carriers before performing the single electron operations. It is relatively easy to deplete an intrinsic (i.e. undoped) semiconductor and even a low doped semiconductor. Depleting a higher doped semiconductor layer is harder and requires much larger potentials to achieve depletion. Furthermore, it is easier to deplete a thin layer of semiconductor than it is to deplete a thick layer of semiconductor. Thus, for building semiconductor quantum structures based on single electron behavior, an SOI process having a thin top active layer and an oxide layer to isolate the top layer from the substrate is preferred.
In such processes, the body of the devices is relatively easy to fully deplete. In most cases even the work function between the gate and the thin active layer is enough to generate a full depletion of the thin layer. In other cases a certain gate voltage may be needed to fully deplete the body of the device. In fully depleted processes, the thin semiconductor layer is depleted of free carriers due to the presence of one or more control gates on top.
Once the semiconductor layer is fully depleted, there are no other free carriers that can interact with the quantum particle(s) and quantum effects can come forth. In a fully depleted well (which may have initially been undoped or low doped), the potential on the control gates on top determines its profile. Such a potential profile may, for example, have valleys and peaks. The valleys is where a carrier may be likely located and the peaks constitute tunneling barriers that may prevent the particle(s) from moving from one position to another.
In such a fully depleted semiconductor layer (CAD drawn layer may be undoped or low doped) a single carrier (e.g., electron) may be injected using an interface device. The particle may be trapped in a given location in the depleted well where the potential has a valley bounded on both ends by tunnel barriers. By appropriately changing the control signals on the gate, the potential in the well and the heights of the barriers can be modified and thus the single particle may move from one location to another in the fully depleted well. This is the basis of the operation of the charge/position quantum qubit.
Classic FET transistors, on the other hand, have higher doped regions for the source and drain. In bulk processes, the higher doped source and drain regions are formed directly in the body well by implanting or diffusing dopants. In fully depleted SOI processes where a thin semiconductor film is deposited on top of the BOX oxide that provides isolation from the substrate, the source and drain regions are realized by depositing another layer of high doped semiconductor on top of the undoped thin layer.
The interface devices have on one side of the gate a higher doped layer that behaves classically and carriers that behave collectively, while under the gate and on the opposite side thereof is the original undoped layer which is fully depleted. The gate terminal determines the height of the tunnel barrier and may allow a single particle to be injected in the fully depleted well. The particle will be localized in the fully depleted well in a region where a valley of the potential is present. From this point on a quantum operation may be performed on the single carrier that was separated from the classic collectivity of carriers present on the classic well of the device.
The interface device disclosed herein is operative to provide a link between classic electronic circuits and quantum circuits. A well is a fairly isolated semiconductor layer that can be part of a device. A classic well is contacted with metal layers to other devices and usually has a large number of free carriers that behave in a collective way, sometimes denoted as a “sea of electrons.” A quantum well, however, is not connected to classic devices that may have a sea of electrons. The quantum well may or may not have contacts and metal on top, but such metal is left floating. A quantum well holds one free carrier at a time or at most a few carriers that have single carrier behavior.
The ability to inject one single carrier at a time is needed to operate a quantum structure. The charge of a carrier (i.e. electron or hole) is 1.6×10−19 Coulomb. The charge is the integral of the current over a given time interval. Classic devices operate with current that are usually in the 0.1 uA and higher level. If a 0.1 uA current is used to inject a single electron, the pulse width of the current needs to be 1.6×10−12 sec. A pulse in the 1 ps range could require clock frequencies in the THz range if implemented straightforwardly with clocks, which are not available in current integrated semiconductor processes. Furthermore, the dependence of the transistor current on the applied voltage is relatively moderate, e.g., quadratic or even linear. Thus, in order to stop the current flow a large voltage difference is required. Such a voltage is much larger than what a typical Coulomb blockade voltage is in currently available semiconductor processes.
To stop the flow of current with a Coulomb blockade voltage, the current dependence on the voltage needs to be very steep, e.g., exponential. Such current to voltage dependencies are achieved in deep subthreshold regimes when a tunneling current is present in the device.
To inject a single electron with a pulse in the 100 ps range requires a current of 1 nA. Such a current puts the small nanometer devices in deep subthreshold mode of operation. In this regime a tunnel current with exponential voltage dependence is established between the two wells/sides of the device.
In classic electronic circuits operating at room temperature if the interface device generates a 1 nA current multiple carriers (i.e. electrons) will be transferred to the second well provided that a closed path is established for the device current. If the second well is connected electrically, there is no force that will oppose the flow of additional carriers in the second well. When the second well is left floating, a different behavior is ensured.
To achieve quantum operation the devices are cooled down to deep cryogenic temperatures such that the thermal noise or thermal agitation of the carriers is minimal. Also, the quantum devices need to use dimensions in the nanometer range, such that the capacitance of the structure is in the 100 aF range. In such cases the Coulomb blockade voltage becomes multi-millivolt level. This is needed since the transport of a single carrier from the classic well to the quantum well requires a change of potential (Coulomb blockade) large enough that the tunnel current is reduced significantly and no further carrier will tunnel to the quantum well. The dependence of the tunnel current on the potential difference between the gate and the well is exponential. Therefore, voltage changes of a few to tens of millivolts can readily stop the further tunneling of subsequent particles.
In a half-classic, half-quantum interface device the Coulomb blockade generated by the tunneling of a single carrier to the quantum well prevents other carriers from tunneling. In order to establish the initial tunneling current from the classic well to the quantum well, a potential difference is established between the well and the control gate. In one embodiment, the interface device is realized by placing a control gate over a continuous well. The potential of the gate which is directly driven or has its potential imposed for example by a capacitor divider such that a depletion region is established under the control gate thereby separating the well into two sections: one classic and one quantum. The classic well is connected to other classic devices using metal layers. In order to control the device with the gate signal, the potential of the classic well needs to be set at a certain reference value. This is done with a classic FET transistor that resets the potential of the classic well during a rest time period.
With the classic well sitting at a Vclassic_ref potential, the potential of the gate is changed by a control signal such that a subthreshold tunnel current is generated in the interface device. The sign of the gate potential depends on the doping type, the level of the well, and the material of the gate and oxide which in turn set the work function difference. In the case of a P-type well the gate voltage needs to be more positive than the classic well potential, assuming a zero work function difference.
In this manner a pulse signal applied at the gate of the interface device determines the tunneling of precisely one particle (e.g., electron) from the classic to the quantum well. The pulse duration does not need to be very precise. It just needs to be longer than what is needed to securely tunnel a single particle. No further particle will be tunneled, even though the pulse may be longer because of the Coulomb blockade voltage that will exponentially reduce the tunnel current level.
Once a single carrier (e.g., electron or hole) is injected into the quantum well, a pure quantum operation can be performed. Using additional control gates on top of the continuous well which further isolates quantum dots in the structure, the carrier may be transported in a discrete fashion from one qdot to another. If appropriate control signal pulse widths are applied, the particle (actually, its wavefunction) may be split between two or more qdots. In one embodiment, a quantum structure can have a plurality of wells with a plurality of qdots. If the wells are brought in close proximity at least in a certain location, interaction (i.e. entanglement) between quantum particles can occur.
In one embodiment, a quantum structure comprises one or more half-classic, half-quantum interface devices. Each interface device injects a single carrier or multiple carriers but at different time instants, with one carrier at a given time.
The gate-to-classic well potential difference needed to realize the tunneling of the single carrier varies with process and location of the device. It also varies with the temperature of the structure. To mitigate such variability, the gate control signal has adjustability built-in such as via a digital to analog converter (DAC) and a calibration engine to set the appropriate voltage level for each individual injection device (i.e. half-classic, half-quantum interface device).
A diagram illustrating a first example interface device of the present invention in more detail is shown in
In operation, the interface device 802 functions to provide an interface from conventional electronic circuitry located on (or off) the integrated circuit to quantum circuits and vice versa. In particular, the interface device is operative to separate a single quantum particle 824, e.g., electron, etc., from a plurality of particles 822. A single quantum particle is allowed to tunnel (indicated by arrow 810) through the depletion region 808 in an injector mode of operation. An appropriate gate control signal is applied to the gate 806 to establish the energy barrier and to control the tunneling through the depletion region. Note that an appropriate potential might need to be set on doped region 812 prior to this operation. Thus, the interface device functions as an injector tunneling device that allows the tunneling of a single quantum particle, or alternatively a controllable number of particles. When the gate potential is carefully lowered, a single quantum particle (e.g., electron) is allowed to tunnel from the left to the right side of the device.
In addition, in one embodiment, the logical flow of electrons can be provisioned to function in the opposite direction whereby the interface device is part of a circuit that senses and detects the presence of a single particle. In this case, the interface device can serve as the sensor which is coupled to additional classical circuitry (not shown) to detect the presence of single particles. In particular, if the capacitance on the classic side of the device is sufficiently low enough, the presence of a single particle (e.g., electron) on the quantum side of the device can be sensed or detected on the classical side of the device using conventional electronic circuitry, such as 816. This is achieved by detecting the rise in voltage magnitude on the classical side caused by the presence of the single particle on the quantum side upon lowering the barrier of the gate 806. Thus, the interface device is capable of operating bidirectionally as both an injector of a single particle and a detector of a single particle.
Note that in operation, on the classic side of the interface device, the quantum particles, e.g., electrons, are in energy bands, i.e. conduction band and valence band, which enables current flow in classic semiconductor devices. On quantum side of the interface device, the quantum particle is in discrete energy levels with one or two electrons (spin up and down) in each level.
A diagram illustrating a second example interface device of the present invention is shown in
A diagram illustrating a third example interface device of the present invention is shown in
A diagram illustrating a cross section of a first example semiconductor quantum structure and conventional FET is shown in
The classic FET on the left comprises source, drain, and gate including p or n doped well 878, 861 connected to contact 858 and metal 856 structures located on either side of metal or polysilicon (or metal) gate 860 built over oxide layers 851, 853. In classic FET operation, mobile carriers travel from source to drain through inversion channel 855 in accordance with the potential applied to the gate, source and drain terminals. Note that the inversion channel may be pinched wherein carriers are swept by the electric field through the pinched area.
The fully quantum device on the right comprises two qdots in well 879 separated by metal or polysilicon gate 864 and oxide layers 870, 872 over depletion region 868. The gate modulates tunneling (arrow 869) between the two qdots as described in detail supra. Note that the two qdots on either side of gate 864 have no diffusion, contacts or metal.
The half classic/half quantum interface device in the middle comprises metal or polysilicon gate 862 and oxide layers 870, 872 over depletion region 866. The gate modulates tunneling (arrow 867) to allow a single quantum particle to tunnel between doped region 878, 874 on the left side of the gate 862 and the qdot on the right side of the gate. The half classic/half quantum interface structure thus functions to provide an interface mechanism between classic electronic circuitry on the left and quantum circuitry on the right.
A diagram illustrating a cross section of a second example semiconductor quantum structure and conventional FET is shown in
The classic FET on the left comprises source, drain, and gate including doped well 882, 918 connected to contact 916 and metal 896 structures located on either side of metal or polysilicon gate 898 built over oxide layers 910, 912. In classic FET operation, mobile carriers travel from source to drain through inversion channel 914 in accordance with the potential applied to the gate, source and drain terminals.
The fully quantum device on the right comprises two qdots in well 908 separated by metal or polysilicon gate 900 and oxide layers 902, 904 over depletion region 887. The gate modulates the tunneling (arrow 886) between the two qdots as described in detail supra. Note that the two qdots on either side of gate 900 have no diffusion, contacts or metal.
The half classic/half quantum interface device in the middle comprises metal or polysilicon gate 899 and oxide layers 902, 904 over depletion region 885. The gate modulates the tunneling (arrow 884) between the region on the left of the gate to the region on the right. In this embodiment of the interface device, the doped region 918, 906 of drain of the classic FET is moved closer to the gate 898 and a non-diffusion region is inserted on the left side of the gate 899 in order to reduce parasitic capacitance. The half classic/half quantum interface device functions to provide an interface mechanism between classic electronic circuitry on the left and quantum circuitry on the right.
A diagram illustrating a cross section of a third example semiconductor quantum structure and conventional FET is shown in
The classic FET on the left comprises source, drain, and gate including doped well 938, 936, 954 connected to contact 928 and metal 926 structures located on either side of metal or polysilicon gate 930 built over oxide layers 942, 944. In classic FET operation, mobile carriers travel from source to drain through inversion channel 940 in accordance with the potential applied to the gate, source and drain terminals.
The fully quantum device on the right comprises two qdots in well 956 separated by metal or polysilicon gate 934 and oxide layers 946, 948 over depletion region 962. The gate modulates tunneling (arrow 964) between the two qdots as described in detail supra. Note that the two qdots 950, 952 on either side of gate 934 have diffusion but no contacts or metal.
The half classic/half quantum interface device in the middle comprises metal or polysilicon gate 932 and oxide layers 946, 948 over depletion region 960. The gate modulates tunneling (arrow 958) between the diffusion region 936, 954 on the left side of the gate 932 and well 956 with diffusion 958 on the right side of the gate. The half classic/half quantum interface device functions to provide an interface mechanism between classic electronic circuitry on the left and quantum circuitry on the right. Note that in one embodiment, similar structures can be built using bulk processes with no oxide layer under the quantum structure but with a depletion region instead.
As described supra, the quantum processor of the present invention comprises a mix of structures including quantum structures, conventional/classic FET structures, and interface devices comprising half classic and half quantum operation which are used to move information from the conventional FET (i.e. non-quantum) domain to the full quantum domain.
A diagram illustrating an example quantum structure with interface devices is shown in
The structure 670 comprises two qdots and utilizes well-to-well tunneling through local depleted region. An interface device is located at each end for interfacing with conventional electronic circuits. The potential on the control gate can be applied either with a direct voltage drive network or via a floating impedance division. The well is realized with two rectangular wells having an overlap to create the narrow tunneling channel 671.
A diagram illustrating a first example multiple qdot quantum structure with interface devices on either end thereof is shown in
A diagram illustrating a CAD layout of an example quantum structure is shown in
A diagram illustrating a cross section of the quantum structure of
To illustrate the operation of the quantum structure of the present invention, a series of diagrams are presented that show the steps involved in an example quantum operation starting with a single quantum particle where the local depletion region is under control of the gate.
A diagram illustrating the aperture tunnel barrier for a two quantum dot structure is shown in
A diagram illustrating a first example change in the aperture tunnel barrier for the two quantum dot structure is shown in
A diagram illustrating a second example change in the aperture tunnel barrier for the two quantum dot structure is shown in
Thus far only electric control of semiconductor quantum structures has been presented wherein the spin of the quantum particle is ignored. An alternative manner of controlling the semiconductor quantum structure is to control/select the spin of the quantum particle using a magnetic field from an inductor/coil or a resonator. A property of particles is that they tend to align their spins to any external relatively strong magnetic field. A diagram illustrating an example quantum structure surrounded by a spin control magnetic coil is shown in
The structure, generally referenced 760, comprises a resonator 763 or one or more turns of a coil 762 surrounding a continuous well divided into two qdots 764 by control gate 766 and connected by tunnel path 768. Along with the electrical control of the imposing gate, this structure also uses the magnetic field generated either by (1) an inductor 762 or (2) a resonator 763 that surrounds the entire quantum structure to select the spin of the particle. Note that both are shown in the figure but in practice typically only one is implemented. Note also that both static and ac magnetic fields can be generated and used. In addition, the inductor may overlap only a local area including one or several quantum structures or it can overlap the global area where the quantum core is implemented. In this manner, local magnetic control or global magnetic control can be implemented.
As described supra, the quantum computer operating environment employs cooling at cryogenic temperatures. In addition, electric and magnetic field shielding is provided. The cryostats used typically comprise relatively large metal structures that act as good shields. In one embodiment, the metal cavity of the cryostat creates a high quality resonator that generates a magnetic field to control the semiconductor quantum structures at its interior.
A diagram illustrating a second example multiple qdot quantum structure is shown in
A diagram illustrating a third example multiple qdot quantum structure is shown in
A diagram illustrating a fourth example multiple qdot quantum structure is shown in
In semiconductor quantum structures and circuits, the qubits (i.e. elementary quantum information units) are encoded by the state of particles or carriers inside one or more semiconductor layers. To help to achieve the single carrier behavior, the semiconductor layers are usually fully depleted. In the case of spin qubits the detection includes determining the spin orientation of a given carrier (e.g., electron or hole), while in the case of charge qubits (i.e. position qubits) the detection includes determining if the carrier is present or not in a given qdot.
Classically, a bit can have only two values “0” and “1”. In the quantum domain, however, a qubit can have a large number of values given by any constrained combination of the two base quantum states |0> and |1>. This is provided by the superposition character of the quantum states.
When a quantum state is detected, the quantum state is collapsed into a base state which corresponds to a classic state with a given probability associated with it. For example, in the detection of a charge qubit, the outcome can be either: (1) the carrier is present in the detection qdot which corresponds to the base state |1>; or (2) the carrier is not present in the detection qdot which corresponds to the base state |0>. To determine the value of a quantum state, a number of successive quantum experiments are performed to get the average presence probability of the detected carrier. By computing the number of |0>s and |1>s that are obtained in the detection, the probability of the quantum state is determined.
For example, consider the Hadamard equal distribution quantum state denoted by 0.707|0>+0.707|1> where the carrier is split equally into two qdots of the quantum gate. From the quantum perspective, this means the carrier is present simultaneously in both qdots. In the classic view, the electron cannot be split and it either is present in a given qdot or it is absent from that qdot. When detecting a Hadamard state multiple times it is expected to obtain an equal number of collapses to the |0> base state (i.e. the carrier is absent) and to the |1> base state (i.e. the carrier is present) in the detected qdot. If the quantum state has a given rotation and it has a larger |1> base state component (a|0>+b|1> with b>a) then at detection more collapses to the base state |1> should occur. If in contrast, the quantum state has a rotation towards the |0> base state (a|0>+b|1> with a>b) then more collapses to the base state |0> should occur.
In order to perform detection of a quantum state contained in a quantum device, the quantum structure is connected to classic devices. This is achieved using an interface device, described in detail supra. Such interface devices are half-quantum and half-classic in their nature or interpretation. In one embodiment, the detector circuit itself comprises classic devices that process charge, current, and voltage. The quantum devices operate with single carrier (e.g., electron or hole), or a small controllable number thereof, while the interface device extracts a single carrier from a sea of collective electrons in the classic world or vice versa injects a single carrier into a classic world sea of collective carriers.
In one embodiment, the classic device of the detector is connected at a quantum structure using a floating well, in which the interface device has a quantum well on one side and a floating classic well on the other. Since the classic well is set to be floating, the injection of a single carrier may result in a noticeable well potential change that can be amplified further.
In another embodiment, the classic device of the detector is connected at a quantum structure using floating gate detection. In this case, the interface device is realized by a device having a plurality of gates, one of them being shared with a classic FET detector device. When the carrier arrives under the floating gate of the interface device it changes the potential of the gate, which in turn can be measured by the classic FET of the detector which shares the gate with the interface device.
In floating well detection, the quantum particle is injected from the quantum device (if it happens to be present there) into a classic floating well that is in turn connected to the input of the classic detector circuit. An equivalent schematic of the quantum circuit, generally referenced 990, together with its associated interface and classic circuits is shown in
In one embodiment, before starting a quantum operation, the entire quantum structure is reset, i.e. the entire quantum well is flushed of any free carriers. Since the quantum well is fully depleted, there are no carriers in it. A reset operation is performed by one or more classic Mreset devices 992 by appropriately controlling the interface quantum gates (Qinterface) 994 and imposer quantum gates (Qimp) 996. The classic Mreset device comprises metal contacts 1002 on its terminals realized by doped semiconductor layers 1020. Considering the SOI semiconductor process as an example, the source and drain doped diffusions are fabricated above the undoped fully depleted device body 1006. The Mreset device establishes a reference potential for the classic side of the classic to quantum interface device on the left. During the quantum operation it is assumed that this potential does not change much due to leakage currents.
In one embodiment, quantum operation begins by initially resetting the classic well to a reference potential then setting it floating during the detection time interval. A single carrier (e.g., electron or hole, if one happens to be present there) is injected from a classic well 1022 where a sea of carriers have a collective behavior, into a quantum well 1024 where single carrier behavior can occur. An appropriate potential is applied to the gate 1004 of the Qinterface device 994 to control the tunneling of a single particle 1012 to the quantum side by lowering the tunneling barrier. Once the single particle is injected into the fully depleted well 1024, it moves according to the potential distribution change determined by the plurality of quantum imposing gates (Qimp) 996. In one embodiment, the Qimp gates determine the creation of valleys in the potential distribution that is progressively shifted from left to right and thus determine the movement of the particle 1012. Depending on the timing and pulse widths of the Qimp signals, a carrier may be split between different locations in the fully depleted well in which two or more potential valleys may be realized. This is the base of generating the superposition quantum states (a|0>+b|1>).
At the opposite end of the well, a second interface device 998 provides the interface in the other direction from the quantum well 1026 to the classic well 1014. In one embodiment, the classic well is left floating (no dc path to ground) such that the potential injection or transfer (by virtue of the connecting transistor 998) of a single carrier can generate a measurable change in potential that is further processed by the detector classic circuit 1000. Since the particle is injected (or transferred) from the quantum well into a classic well, the quantum state collapses. This detection is destructive since the quantum state is destroyed during the measurement process. It is destroyed specifically during the instance the particle sees a low resistance path, i.e. is connected, to the sea of carriers on the classic side. It is noted that such destructive detection can be performed only once per quantum operation. Furthermore, it is noted that another reset device similar to 992 can be connected to the same node 1014 as that connected to the detector 1000. Likewise another detector similar to 1000 can be connected to the reset device 992 (node 1003). These two types of circuits operate in a time shared manner in which the active time slots allocated to them can be different. Their high resistance during the inactive time slots ensures no conflicts.
The floating classic well 1014 is connected to the gate 1016 of a detection device 1000. The floating well and the gate 1016 of the detector Mdetector have a certain total capacitance. The voltage change in the signal at the gate 1016 of Mdetector is given by ΔV=e/C where e is the carrier charge 1.6×10−19 Coulomb and C is the total capacitance of the floating well (1014 and possible 1026) and gate. In one embodiment, the charge to voltage conversion is followed by classic voltage or transconductance amplifiers depending on the voltage mode or current mode operation of the classic detector circuit 1000. Note that the entire single carrier (e.g., electron) injection, quantum processing/imposing and detection is short in comparison with the decoherence time of the particle in the given semiconductor structure.
Note that other classic analog, mixed signal or digital circuits are preferably kept an exclusion distance away from the quantum structure 990 in order to avoid undesired parasitic interaction with the quantum particle(s) that could lead to quantum decoherence.
The second option for the detection of the quantum state is to use a floating gate. In this case the classic device of the detector Mdetector is connected to the same floating gate that goes over the quantum well. An equivalent schematic of the quantum circuit, generally referenced 1030, together with its associated interface and classic circuits is shown in
Similar to the floating well detection circuit 990 described supra, the quantum procedure starts with the reset of the structure 1030 using one or more classic Mreset devices 1032 along with appropriate control of the interface quantum gates (Qinterface) 1034 and imposer quantum gates (Qimp) 1036 such that all free carriers in the quantum structure are flushed out. The classic to quantum Qinterface device 1034, operative to inject a single carrier 1052 into the quantum structure, has a half-classic and half-quantum operation. It comprises a doped and metal contacted classic well 1054 on the left side of its gate 1044 and a floating quantum well 1056 on the other side. In one embodiment, the connection between the Mreset and Qinterface devices on the classic side is realized with contacts and metal layers 1055. Note that the Mreset and Qinterface devices may share the same active layer or may be done in separate active layers.
The quantum imposer (Qimp) devices 1036 determine the specific quantum computation performed. There is at least one Qimp quantum control gate. Alternatively, the circuit may comprise any number of Qimp devices as large as feasible in the actual implementation using a given semiconductor process.
The last three gates over the quantum well on the right side of the circuit 1030 form a quantum to classic Qinterface device 1038, 1064, 1062. Note that alternatively, the Qinterface device may be located in the middle of a quantum well. One of the three gates (1060) is the floating gate which connects to the Mdetector classic detector device 1040. In one embodiment, the carrier is moved under the floating gate by controlling the potential distribution with the two adjacent gates 1059, 1061. The presence of the quantum carrier under the floating gate causes a change of the potential of the quantum gate which is sensed by the Mdetector detector device 1040 and amplified further.
After the first measurement is performed, the quantum carrier can be moved away from under the floating gate 1060 of the interface device. The floating gate initial potential is set during the reset time to a level that allows the proper operation of the Mdetector classic detector device. Such potential may be reset for example with a second classic Mreset device (not shown) connected to the gate of the Mdetector device.
An example potential diagram for the floating gate detection circuit is shown in
In operation, the particle is moved one or more times under the floating gate to perform detection (i.e. nondestructive measurement). Multiple measurements are performed under the detection gate for the same quantum experiment. A measurement is made each time the particle moves under the floating gate 1078. Note that the movement is speculative in nature since it is not known a priori whether there is a particle present or not as this is what is being measured. If no particle is detected, then of course no movement actually takes place. Potential diagram (A) shows the quantum particle (e.g., carrier, electron, hole, etc.) 1072 stuck in the last quantum dot by the last Qimp control quantum gate 1076. By controlling the left 1077 and right 1079 interface device gates the potential in the fully depleted well 1046 underneath them can be modified such that a wide valley 1080 is realized which extends under the floating gate in the middle of the quantum to classic interface device, as shown in potential diagram (B). In this case, the particle extends in the entire area allowed by the potential valley 1080. In the next step, the control gates modify the potential distribution so that the potential valley extends only under the floating gate 1078, as shown in potential diagram (C). Having the particle located directly under the floating gate generates a change in potential of the floating gate which can be measured and amplified by the Mdetector circuit 1040 (
Lowering the potential of the left gate 1077 while raising the potential of the right gate 1079 extends the valley as shown in potential diagram (D). In potential diagram (E), the valley is restricted and the particle moves to the right away from the floating gate in potential diagram (F), the interface device gates are configured to widen the potential valley that extends under both the floating gate and the right interface gate 1079. The carrier again will occupy all the space of the valley. In the next step shown in potential diagram (G), the control gates of the interface device are configured to change the potential such that the carrier moves under the floating gate where a new measurement can be performed. In such case the potential of the floating gate will change in an opposite direction.
In potential diagram (H), the control gates are configured to widen the potential valley to include the area under the floating gate and in potential diagram (I), the potential valley is restricted again.
Note that an advantage of the floating gate detection mechanism is that it is not destructive and the carrier's wavefunction does not collapse in the detection process. This allows the detection of the quantum particle multiple times. Therefore, instead of performing the entire quantum experiment multiple times, the quantum experiment is performed once but the results are measured multiple times. This provides for a faster total quantum cycle and helps to increase the fidelity of the quantum operation.
In another embodiment, the floating gate detection may be followed by a floating well detection which finally collapses the quantum state. By using both methods of detection, a more sophisticated detection scheme can be built with lower error rate. By looking at the correlation between the two types of detection, built-in detection error correction can be realized.
The present invention provides a semiconductor quantum structure that uses a 3D semiconductor process with very thin semiconductor fins having much smaller parasitic capacitance to the gate. This results in higher Coulomb blockade voltages and thus quantum circuits that are easier to control with classic electronic circuits with more noise floor margin. Two semiconductor islands are isolated in a continuously drawn fin using an overlapping control gate that induces a local depletion region in the fin. The tunneling between one island in the fin to the other is controlled by the control gate that imposes the potential on the fin. By modulating the potential applied to the control gate, a controlled fin-to-fin tunneling through the local depletion region is achieved, realizing the function of a position/charge qubit. More complex structures with higher number of qdots per continuous fin and larger number of fins can be constructed. 3D semiconductor processes can be used to build such fin-to-fin tunneling quantum structures. Hybrid 3D and planar structures can be built as well. By combining a number of such elementary quantum structures a quantum computing machine is realized.
A diagram illustrating an example 3D semiconductor quantum structure using fin to fin tunneling through local depletion region is shown in
With reference to
A diagram illustrating a cross section, side view, and top view of an example 3D two qdot quantum structure using local fin depletion tunneling is shown in
The tunneling through a local depletion region in the quantum structure is induced in a fin by the overlapping control gate. When the barrier is high, the local depleted region is wide and virtually no tunneling current is allowed. When the barrier is lowered, the local depleted region shrinks in width and a sizeable leakage tunneling current appears, which allows the particle to move from one qdot to the other. If the particle has not completed the move from one qdot to the other, it will spread (equally or non-equally) between the two qdots to achieve spatial particle entanglement.
A diagram illustrating a cross section, side views, and top view of an example 3D multiple qdot quantum structure using local fin depletion tunneling is shown in
A diagram illustrating two example double V fin-gate-fin structures having two wells placed in close proximity allowing quantum particles to interact is shown in
In this embodiment, the inner two semiconductor wells 1881 come in very close proximity thereby allowing a strong interaction between particles or distributed particles in the two qdots. The distance between other pairs of qdots is significantly larger and thus the interaction between corresponding particles is much smaller, ideally negligible. In this manner, the double V quantum structure shifts two or more particles into specific positions for a well controlled interaction and then transports them apart. The preparation of the quantum state also happens when particles are further away and thus can be done largely independent one from the other. This also allows a well-controlled interaction between particles only when they are in specific qdots and when the control signals are configured to enable the interaction.
A diagram illustrating an example 3D semiconductor quantum structure using fin-to-fin tunneling through a local depleted region with a shared well between two fin paths providing bifurcation is shown in
Note that this quantum structure can realize either a bifurcation of the quantum operation path or a merger of the quantum operation path. This structure is useful in creating more complex quantum structures. Note also that the control gates overlapping the two fins and separating qdots #1 and #3 can be separated (as shown) or can be shared (not shown).
A diagram illustrating an example quantum structure with dummy gates and gate cuts that separate control and dummy gates is shown in
A diagram illustrating an example hybrid planar and 3D semiconductor quantum structure using both fin-to-fin and well-to-well tunneling through local depletion region is shown in
The present invention also provides a semiconductor quantum structure that uses a 3D semiconductor process used to fabricate two semiconductor fins and an overlapping imposing control gate that constitutes the tunneling path from one semiconductor qdot to the other. The tunneling is controlled by the control gate that imposes the potential on the tunneling path. By modulating the potential of the imposer gate, a controlled fin-gate and gate-fin tunneling through the thin oxide under the control gate is enabled, realizing the function of a position/charge qubit. More complex structures with higher number of qdots per continuous well and larger number of wells can be built. Both planar and 3D semiconductor processes can be used to build well/fin-to-gate and gate-to-fin/well tunneling quantum structures. Hybrid 3D and planar structures can be built as well. By combining a number of such elementary quantum structures a quantum computing machine is realized.
A diagram illustrating an example 3D semiconductor quantum structure using fin-to-gate tunneling through oxide is shown in
With reference to
A diagram illustrating a cross section, side view, and top view of an example 3D semiconductor quantum structure using fin-to-gate tunneling through oxide is shown in
The tunneling through the oxide in the quantum structure is induced in a fin by the overlapping control gate. When the barrier is high, virtually no tunneling current is allowed. When the barrier is lowered, tunneling through the gate oxide allows the particle to move from one qdot to the other. If the particle has not completed the move from one qdot to the other, it will spread (equally or non-equally) between two qdots to achieve a superposition state.
A diagram illustrating a cross section of an example 3D semiconductor quantum structure using fin-to-gate and gate-to-fin tunneling is shown in
A diagram illustrating a top view of an example two qdot 3D semiconductor quantum structure using fin-to-gate tunneling through oxide is shown in
Note that different shapes can be used for the layers used to construct the quantum structure, e.g., squares, rectangles, polygons, circles, composed shapes, etc. as described supra. In this embodiment, two wells are added, one to each fin which crosses the well in the middle. When the control terminal lowers the barrier, the quantum particle in the left qdot tunnels to the right qdot.
A diagram illustrating an example double V quantum interaction structure using 3D semiconductor process with fin-to-gate tunneling is shown in
In this embodiment, the inner two semiconductor wells 1962 come in very close proximity thereby allowing a strong interaction between particles or distributed particles in the two qdots. The distance between other pairs of qdots is significantly larger and thus the interaction between corresponding particles is much smaller, ideally negligible. In this manner, the double V quantum structure shifts two or more particles into specific positions for a well controlled interaction and them transports them apart. The preparation of the quantum state also happens when particles are further away and thus can be done largely independent one from the other. This also allows a well controlled interaction between particles only when they are in specific qdots and when the control signals are configured to enable the interaction.
A diagram illustrating an example quantum structure with fin-to-gate tunneling with dummy gates and cuts to create dummy fins is shown in
A diagram illustrating an example hybrid planar and 3D semiconductor quantum structure using both fin-to-gate and well-to-gate tunneling is shown in
A diagram illustrating an example initialization configuration for a quantum interaction structure using tunneling through gate-well oxide layer is shown in
Note that the magnetic field control can be used to select an electron with a given spin orientation. This uses the property of electrons to orient their spin depending on the direction of the magnetic field direction at the time when the single electron was isolated from the classic sea of electrons. The direction of the magnetic field can be changed and thus the two spin orientations can be individually selected.
In order to perform a quantum operation in a given quantum structure having two or more qdots, the quantum system first needs to be initialized into a known base state. One or more electrons can be injected into the multi-qdot quantum structure. These single electrons are injected only into some of the qdots of the overall quantum structure. Next, control imposing signals are applied that determine the quantum evolution of the state and perform a certain desired quantum operation.
In general, the quantum operation performed depends on the specific control signals applied. In the case of a single position/charge qubit including two qdots that can realize a generalized phase rotation of the quantum state, the rotation angle is dependent on the pulse width of the control signal applied as compared to the Rabi (or occupancy state) oscillation period.
In a two qdot quantum system, if the tunneling barrier is lowered and kept low, a quantum particle starting from one of the qdots will begin tunneling to the next qdot. At a given time of half the Rabi oscillation period the particle will be completely on the second qdot, after which it will start tunneling back to the first qdot. At a certain time, the particle will have returned to the first qdot, after which the process repeats itself. This process is called the Rabi or occupancy oscillation and its period is named the Rabi or occupancy oscillation period. The phase rotation in a two qdot system will depend on the control signal pulse width as related to the Rabi oscillation period.
A diagram illustrating an example initialization configuration for a quantum interaction structure using tunneling through a local depleted region in a continuous well is shown in
In one embodiment, the qdots are implemented by semiconductor wells, while the tunneling path is realized by a polysilicon layer that partially or completely overlaps the two wells. The tunneling appears vertically over the thin oxide layer between the semiconductor well and the polysilicon layer. The control terminal is realized with another well or another polysilicon layer placed in close proximity in order to exercise reasonable control over the tunneling effect.
In another embodiment, a semiconductor quantum processing structure is realized using lateral tunneling in a local depleted well. The two qdots are linked by a region that is locally depleted where the tunneling occurs (represented by the arrow). The control terminal typically overlaps the tunneling path in order to maintain well-controlled depletion of the entire linking region between the two qdots. This prevents direct electric conduction between the two qdots.
In another embodiment, the two qdots of the quantum structure are realized by a single semiconductor well having a control polysilicon layer on top. The tunneling occurs laterally/horizontally through the depleted region that isolates the two qdots.
It is noted that quantum structures can be implemented in semiconductor processes using various tunneling effects. One possible tunneling is the through a thin oxide layer. In most semiconductor processes the thinnest oxide is the gate oxide, which can span several atomic layers. In some processes, the oxide layer used by the metal-insulator-metal (MIM) capacitance is also very thin. Another example is the tunneling through a depleted region between two semiconductor well regions. Such a local depleted region may be induced by a control terminal into an otherwise continuous drawn well or fin.
A diagram illustrating an example planar semiconductor quantum structure using tunneling through oxide layer is shown in
A diagram illustrating an example planar semiconductor quantum structure using tunneling through local depleted well is shown in
Note that there are numerous types of semiconductor processes. Some are planar, while others are used to fabricate 3D structures (e.g., FinFET). A diagram illustrating an example 3D process semiconductor quantum structure using tunneling through oxide layer is shown in
A diagram illustrating an example 3D process semiconductor quantum structure using tunneling through local depleted well is shown in
In one embodiment, controlled-NOT (CNOT) quantum gates can be realized with any of the above described qubit structures implemented in either planar or 3D semiconductor processes.
A diagram illustrating an example CNOT quantum interaction gate using tunneling through oxide layer implemented in planar semiconductor processes is shown in
A diagram illustrating an example CNOT quantum interaction gate using tunneling through local depleted well implemented in planar semiconductor processes is shown in
A diagram illustrating an example CNOT quantum interaction gate using tunneling through oxide layer implemented in 3D semiconductor processes is shown in
A diagram illustrating an example CNOT quantum interaction gate using tunneling through local depleted fin implemented in 3D semiconductor processes is shown in
Quantum computing is based on the interaction between two or more individual particles that have been separated from a collectivity and which follow the laws of quantum mechanics. In order for two particles to interact, they generally need to be brought in close proximity. Particles that are relatively far away from one another have a small or negligible interaction.
Each particle carries information in its position and/or spin. Position/charge qubit based quantum computing uses the position to encode information, while spin qubit based quantum computing uses the spin of the particles to encode information. Hybrid qubits use both the position and the spin to encode information.
The two or more particles that need to interact and thus make an exchange of information need to be separately initialized in their corresponding quantum state. The separation may be either in distance, ensuring a negligible interaction of the particles as they are initialized, or in time when the particles are initialized at different time instances. In some embodiments both space and time separation may be used to ensure isolation between the two or more starting quantum states.
When two or more quantum particles/states are brought in close proximity, they interact with one another and in the process exchange information. We call the particles entangled as each of the particles carry information from all particles that have interacted. After the entanglement has occurred, the particles are moved at large distance and they still carry the entire information contained initially by the distinct initialized states. If measurement/detection is perform on one of the particles from the entangled ensemble, the corresponding quantum state will be collapsed. By measuring, for example, a charge qubit it is determined whether the particle is present or not in a given qdot. When one qubit is measured the corresponding component from the other qubits that are part of the entangled ensemble will also collapse.
In the case of semiconductor quantum structures based on tunneling through a local depletion region induced in a continuous well under the control of a gate terminal, the tunneling current is the quantum physics effect that governs the operation of the structure. The tunneling effect/current is dependent on one side on the tunnel barrier height, which in turn depends on the signal level applied at the control terminal. A second element that impacts the tunnel barrier and thus the tunneling effect is the presence of any other particle (one or more) in proximity of the target qubit. The presence or absence of another particle will change the Rabi oscillation frequency of a given target qubit. In a double qdot system when the control terminal determines a lowering of the tunnel barrier, the quantum particle will start tunneling forth and back between the two qdots. The precise position of the particle will depend on the pulse width of the control signal that enables the Rabi oscillation.
In order to get interaction between two particles present in their respective qubits, a semiconductor system with at least four qdots is needed as shown in
Moving the quantum particles/states to and from given quantum gates is performed with quantum shift registers. Their length and orientation are preferably such that it links the different quantum gates into a corresponding quantum circuit based on a particular quantum algorithm.
In yet another embodiment of the quantum interaction gate, both (or all) qubits are allowed to change in their measured state (position, spin, or both). To achieve this both (or all) control terminals are pulsed. As a result, both (or all) particles that enter entanglement will have their measured state changed (position, spin, or both). As a byproduct of the entanglement, the other non-measured dimension may experience changes as well, e.g., the spin in a position qubit or the position in a spin qubit.
A diagram illustrating a first example controlled NOT double qubit structure and related Rabi oscillation is shown in
In operation, when the particle 1202 of the control qubit is in its further away position we denote this quantum state as |0>. The Rabi oscillation frequency 1201 (or period) of the target qubit has a first value. If a control signal 1208 is applied to the target qubit that has a pulse width equal to the Rabi period, the particle will tunnel forward and back to its initial position resulting in keeping its original state. This is valid for both base quantum states when the particles are not in split states. For example, if the particle is initially present in the left qdot of the target qubit (we can arbitrarily denote this state as |0>) at the beginning of the control signal pulse, the particle will be back in the left qdot at the end of the pulse and thus the state |0> is preserved. If the particle was initially in the right qdot of the target qubit (we denote that state as |1>) as shown in
Now if the particle of the control qubit is moved to the closer-in position (which we denote by the quantum state |1>), as shown in
In
In the controlled-NOT quantum operation, the inversion applies not only to the base states |0> results in |1> and |1> results in |0>, but also applies to any superposition of quantum state a|0>+b|1> which goes to b|0>+a|0>. Such an operation 1222 for the quantum gate 1220 is shown in
In the middle is illustrated the CNOT operation for split particle inversion. In the state 1228 before inversion, the control qubit is in a base state, while the target qubit is in a split state. In the state 1230 after inversion, the target qubit state is inverted.
In the bottom is illustrated the CNOT operation for superposition inversion. In the state 1232 before inversion, both the control and the target qubits are in split states. In the state 1234 after inversion, the target qubit state is inverted. This is the more general quantum CNOT operation case.
Note that the controlled-NOT quantum gate together with the Hadamard gate form a fundamental quantum set, which means that any quantum algorithm can be built with a given combination of these two fundamental quantum gates.
To precisely obtain the functionality of a quantum CNOT, the distance between the four qdots is preferably such that when the control qubit/particle changes its position from the |0> to the |1> base state, the corresponding Rabi oscillation period of the target qubit is doubled (i.e. the frequency is halved). The control signal of the target qubit is also preferably equal to the Rabi period in the state |0> of the control qubit.
If these conditions are not satisfied, the quantum interaction gate will not have a CNOT operation, but a different controlled rotation operation. In this case, the two particles still interact and the corresponding Rabi oscillation period is changed, but not to a double value for the CNOT operation, but to some other value that results in a different particle splitting/rotation.
In real life implementations of such semiconductor quantum gates/structures, there are process variations (e.g., distances, thicknesses, dimensions, etc.) and also variability of the control signals (e.g., pulse width variabilities) which result in different amounts of Rabi oscillation period modifications. In one embodiment, a calibration procedure of the semiconductor quantum gate is applied to achieve CNOT functionality. An advantage of the semiconductor quantum implementation is that the integrated circuits approach allows the individual calibration of each quantum gate in the system. This compensates both for the random and the deterministic components of the variability.
A diagram illustrating an example controlled NOT quantum interaction gate using square layers with partial overlap and tunneling through oxide layer is shown in
A diagram illustrating an example Toffoli quantum interaction gate using square layers with partial overlap is shown in
A diagram illustrating an example higher order controlled NOT quantum interaction gate using square layers with partial overlap is shown in
A diagram illustrating a first example of semiconductor entanglement quantum interaction gate including initialization, staging, interaction, and output locations is shown in
A diagram illustrating a second example of semiconductor entanglement quantum interaction gate including initialization, staging, interaction, and output locations is shown in
A diagram illustrating a third example of semiconductor entanglement quantum interaction gate including initialization, staging, interaction, and output locations is shown in
A diagram illustrating a fourth example of semiconductor entanglement quantum interaction gate including initialization, staging, interaction, and output locations is shown in
In a quantum core, a large number of interactions between the different quantum states/particles needed to be performed. Using the double-V and multiple-V quantum interaction structures a quantum core with relatively parallel quantum paths can be realized.
A diagram illustrating an example quantum interaction gate using double V interaction between neighboring paths is shown in
A diagram illustrating an example quantum interaction gate using H interaction between neighboring paths is shown in
In some cases, it may be desirable to perform interactions not only between neighboring paths or qdots. A diagram illustrating an example quantum interaction ring with star shaped access and double V interaction with multiple next door neighbors (with multiple detection points) is shown in
A diagram illustrating an example quantum interaction ring with star shaped access and H interaction with multiple next door neighbors is shown in
Numerous shapes can be used to implement CNOT quantum interaction gates. A diagram illustrating an example T shape quantum interaction gate using tunneling through a local depleted well for interaction between two qubits is shown in
A diagram illustrating an example H shape quantum interaction gate using tunneling through a local depleted well for interaction between three qubits is shown in
A diagram illustrating an example of a triple V shape quantum interaction gate is shown in
Note that if more than two particles need to interact, it is not needed to bring them simultaneously in close proximity. Multiple V-paths can be used to bring together pairs of particles/states to interact. In some cases, it is desired to achieve interaction/entanglement between multiple particles/states. A triple-V quantum structure (or in general a multi-V structure) can be used to achieve this. There are two interaction locations: (1) between the first and second V-shape quantum structure, and (2) between the second and the third V-shape quantum structure. In this case, an even larger number of quantum shift registers are used to transport the quantum particles/states between, to, and from the interaction locations.
Another example of interaction shape is X or star-shape. A diagram illustrating an example double V shape quantum interaction gate using tunneling through a local depleted well for interaction between two qubits is shown in
One of the most efficient ways to build a quantum core is using a grid configuration in which the qdots are arranged in rows and columns. A diagram illustrating a first example CNOT quantum interaction gate within a grid array of programmable semiconductor qubits is shown in
A diagram illustrating a second example CNOT quantum interaction gate within a grid array of programmable semiconductor qubits is shown in
Most of the structures described supra use charge qubits and qdots that are electrically controlled via an electric field. A more general quantum structure can use hybrid electric and magnetic control. The magnetic field can be generated with an inductor or a resonator. A diagram illustrating an example quantum interaction gate constructed with both electric and magnetic control is shown in
In the case of a larger quantum core, multiple inductors can be used to create local magnetic control fields. Alternatively, a global magnetic control can be used, which impacts two or more quantum structures at a time. A diagram illustrating an example grid array of programmable semiconductor qubits with both global and local magnetic is shown in
First through eighth stages of an example quantum interaction gate particle interaction are shown in
Once the particles are injected, they can be split as shown in
A diagram illustrating an example semiconductor double qdot qubit using tunneling through a separate layer planar structure is shown in
A diagram illustrating an example planar semiconductor double qdot qubit using tunneling through a local depleted well planar structure is shown in
A diagram illustrating an example 3D semiconductor qubit using tunneling through a separate gate oxide layer 3D FIN-FET structure is shown in
A diagram illustrating an example 3D semiconductor qubit using tunneling through a local depletion in a fin structure is shown in
A diagram illustrating a semiconductor CNOT quantum interaction gate using two qubit double qdot structures with tunneling through a separate planar structure is shown in
Semiconductor CNOT gates can be built using tunneling through a depletion region. Several different positions for getting interaction between two or more particles inside the same continuously drawn well will now be described. In this case, the two interacting particles are not on separate chain structures, but inside the same chain structure.
A diagram illustrating a first example quantum interaction gate with interaction between two particles in the same continuous well is shown in
A diagram illustrating a second example quantum interaction gate with interaction between two particles in the same continuous well is shown in
A diagram illustrating a third example quantum interaction gate with interaction between two particles in the same continuous well is shown in
In an alternate embodiment the two particles that will interact can be hosted by two different chain structures. A diagram illustrating a first example quantum interaction gate with interaction between two or more particles in different continuously drawn wells is shown in
A diagram illustrating a second example quantum interaction gate with interaction between two particles in different continuous wells is shown in
A diagram illustrating a second example quantum interaction gate with interaction between two particles in different continuous wells is shown in
A diagram illustrating a second example quantum interaction gate with interaction between two particles in different continuous wells is shown in
Note that to get the full operation of the CNOT quantum interaction gate, the gate needs to be initialized and at the end measured. Additional layers are needed to perform such operations. The gate may be operated by itself (interconnect directly to the classic world), or it may be interconnected with other quantum gates. A diagram illustrating a CNOT quantum interaction gate using two qubit double qdot structures with tunneling through a separate oxide layer (partial overlapped gate) implemented in a planar process with gating to classic circuits is shown in
A diagram illustrating a CNOT quantum interaction gate with tunneling through a local depleted well using voltage driven gate imposing and gating to classic circuits is shown in
A diagram illustrating a CNOT semiconductor quantum interaction gate with tunneling through a local depleted well using voltage driven gate imposing and multiple gating to classic circuits is shown in
A diagram illustrating an example quantum interaction gate with continuous well incorporating reset, inject, impose, and detect circuitry is shown in
A diagram illustrating an example double V CNOT quantum interaction gate using separate control gates that mandates larger spacing resulting in a weaker interaction is shown in
A diagram illustrating an example double V CNOT quantum interaction gate using common control gates for sections in closer proximity to permit smaller spacing and stronger interaction is shown in
The entanglement of the particles depends strongly on the distance the two or more particles are brought together. The closer the particles are, the higher the level of interaction between them. A diagram illustrating an example double V CNOT quantum interaction gate using common control gates for two control gates on both sides of the interacting qdots is shown in
The larger the number of common gates between the two or more wells, the more constraints exist in the operation of the quantum gate (i.e. the particles are not moving independently but their move is correlated due to the common gate control). The quantum interaction gate, generally referenced 1640, comprises two qubits arranged in a double V configuration. Each qubit comprising a continuous well 1641 divided into a plurality of qdots by common control gates 1643 having contacts 1645 and separate control gates 1644 having contacts 1647, interface 1642 to classic circuitry, and interaction qdot 1646. This structure uses common control gates only for the two control gates on both sides of the qdots that are interacting. These two gates are the most important since they set the minimum spacing between the wells. The two qubits use tunneling through local depleted wells and common control gates that result in the closest placement for strong interaction. This restricts the operation somewhat, but allows for a much stronger interaction, due to the closer position of the interaction qdots.
A diagram illustrating an example double V CNOT quantum interaction gate incorporating inject, impose, and detect circuitry is shown in
A diagram illustrating a first example z quantum shift register quantum interaction gate using planar semiconductor process with partial overlap of semiconductor well and control gate is shown in
Double-V and multi-V quantum interaction structures can be also implemented with qubits and qdots with tunneling through an oxide layer. A diagram illustrating a second example z quantum shift register quantum interaction gate using planar process with partial overlap of semiconductor well and control gate is shown in
A diagram illustrating an example of H-style quantum interaction gate implemented with planar semiconductor qdots using tunneling through oxide layer (the H-structure is rotated at an angle) with partial overlap of semiconductor well and control gate is shown in
Other types of tunneling can be used to build semiconductor quantum interaction gates. A diagram illustrating an example of H-style quantum interaction gate (the H-structure is rotated at an angle and gates with multiple orientations) implemented with planar semiconductor qdots using tunneling through local depleted region in continuous wells is shown in
Controlled-NOT and higher order quantum gates realized in planar semiconductor processes have been disclosed supra. Similar quantum structures can be realized in three-dimensional semiconductor processes. A diagram illustrating a first example CNOT quantum interaction gate using 3D FIN-FET semiconductor process with tunneling through separate layer and interaction from enlarged well islands allowing smaller spacing and stronger interaction is shown in
By reducing the overlap between gate and fin-well the overall capacitance of the structure is reduced, increasing the Coulomb blockade voltage. A diagram illustrating a second example CNOT quantum interaction gate using 3D FIN-FET semiconductor process with tunneling through separate oxide layer, partial overlap between gate and fin-well, and interaction from enlarged well islands allowing smaller spacing and stronger interaction is shown in
Semiconductor quantum interaction gates can be realized in 3D processes using tunneling through fin local depletion regions induced in semiconductor fins. A diagram illustrating a third example CNOT quantum interaction gate using 3D FIN-FET semiconductor process with interaction from enlarged well islands allowing smaller spacing and stronger interaction is shown in
Interaction between wells can result in tighter spacing and thus stronger interaction between quantum particles. Interaction, however, can be achieved between particles located in semiconductor fins. A diagram illustrating a fourth example CNOT quantum interaction gate using 3D FIN-FET semiconductor process with fin to fin interaction mandating larger spacing resulting in weaker interaction is shown in
A quantum gate is a circuit/structure operating on a relatively small number of qubits: one, two, three, four and rarely more. A gate operating on two or more qubits or qudits is referred to as an interaction gate. The type of quantum gate is given both by the physical/geometrical structure of the gate and by the corresponding control signal. A given geometrical structure may perform different quantum gate functions depending on the control signals that are applied, i.e. their shape, amplitude, duration, position, etc. One such example is the double-V quantum interaction gate which can implement a controlled-NOT, a controlled-Rotation (controlled-Pauli), controlled-Swap and even quantum annealing functions. The same applies to the H-shape quantum interaction gate, the X-shape quantum interaction gate, L-shape quantum interaction gate, I-shape quantum interaction gate, etc.
Quantum annealing is an operation of finding the minima of a given function over a given set of candidate solutions using a quantum fluctuation method. The system is started from a superposition of all possible states with equal weighting and it evolves following the time dependent Schrodinger equation. If the rate of change is slow, the system stays close to its ground state of the instantaneous Hamiltonian (total energy of the ensemble) resulting in Adiabatic Quantum Computing (AQC). The AQC is based on the well-known adiabatic theorem to perform computations. A simple Hamiltonian can be initialized and a slow change of the system towards a more complex Hamiltonian is performed. If the change is slow, the system starts from the ground state of the simple Hamiltonian and evolves to the ground state of the complex Hamiltonian, representing the solution that is pursued.
The time needed for an adiabatic change is dependent on the gap in energy between the Eigenvalues of the Hamiltonian and thus depends on the Rabi oscillation period. The change needs to be slow (longer) when compared with the period of the Rabi oscillation. Because the system is maintained all the time close to the ground state in the quantum annealing process, it is less susceptible to interaction with the outside world. This is one of the advantages of quantum annealing. A necessary condition is that the energy coming from the outside world is lower than the energy gap between the ground states and the next higher energy excited states.
A diagram illustrating quantum annealing applied to a double-qubit semiconductor quantum interaction structure using charged carriers (electrons or holes) is shown in
To achieve quantum annealing the corresponding control signals are varied very slowly in order not to perturb the system with the shape of the control signal. In contrast with the controlled-NOT or controlled-Rotation gates when fast control pulse are applied, in the case of quantum annealing the control gates QA and QB of the two qubits are very slowly changed when compared with the period of the corresponding Rabi oscillations as shown in the center of
When the qubits are independent the system can be factorized, while after the entanglement of the qubits the system can no longer be factorized. It will be described by a global Hamiltonian that grows in dimensions when compared with the Hamiltonian of the independent qubits. Once entangled, the information is present simultaneously in both qubits. This is represented with the fact that after the entanglement the vectors of the two qubits have both been slightly shifted to take into account the interaction of the other qubit. Once entangled, if one qubit is measured and its state is collapsed, the other qubit will also be collapsed, or at least the component corresponding to the entanglement.
An advantage of the quantum annealing is that it can perform the search in parallel over a large space of solutions. In a system with a large number of qubits at initialization a superposition of all possible solutions is loaded and through the quantum annealing process the system will evolve to the single solution that corresponds to the lowest minima. This is very useful in problems where there are multiple local minima, but the absolute lowest minima is the goal of the search.
The control signal for a quantum annealing process in a semiconductor quantum interaction gate can be generated by a classical electronic circuit. It can be an analog or a mixed-signal control signal generation. A digitally controlled system can be implemented in which the amplitude of time position of the control signals is prescribed with corresponding Digital-to-Analog Converters (DAC). A staircase signal shape can be generated by the DACs. The signal can be smoothed using optional filtering circuitry.
There exist a large number of different quantum operation gates. When implementing a quantum computer it is preferable to have a universal set of quantum gates implemented since many quantum algorithms can be implemented using a specific number and interconnection of such universal gates. The SWAP gate corresponds to a classic Boolean logic operation. A controlled quantum gate is an interaction gate where the specified operation is performed only in the presence of a control signal or a control qubit. The SWAP gate is the circuit that permutes the incoming states. The quantum SWAP gate is the corresponding quantum gate that operates on quantum superposed states. The controlled SWAP gate is universal with respect to all the classic Boolean operations. A quantum computing machine using controlled SWAP quantum gates can implement any classic algorithm.
If the control gate signals applied are sufficiently fast the quantum system will leave the ground state. This is in contrast with the quantum annealing adiabatic control (slow with respect to the corresponding Rabi oscillation frequencies). A controlled SWAP quantum gate differs from the controlled-NOT and controlled Rotation gates, since both gate control signals are exercised. As such both tunnel barriers of qubit A and qubit B are lowered, allowing the two qubits to interact. This gate results in large perturbations from the ground state and can result in large rotations of the quantum state corresponding vectors in the Bloch sphere.
It is assumed that qubit A and qubit B are initialized with two different quantum states (they can be both base states or split/superposed states, as shown in
Note that the control SWAP quantum gate operation can be realized by a number of physical geometrical implementations of the quantum interaction semiconductor gate. This includes the double-V or multiple-V structure, the X, T, L, I-shape interaction structures and any combination thereof.
Pauli quantum gates are single qubit gates that perform rotation about the z, y, and x axis of the Bloch sphere. To aid in understanding their operation we consider the Bloch sphere representation of the quantum states using the unitary sphere. Any quantum state can be represented by a vector on the Bloch sphere. There are two angular coordinates in the Bloch sphere: (1) the θ angle representing the co-latitude versus the z-axis; and (2) the φ angle representing the longitude versus the x-axis. These angles (i.e. rotation) correspond to the superposition of the |0> and |1> base states in the given quantum state. Note that it is not possible to measure both the θ and φ angles simultaneously. The φ quantum phase cannot be independently measured, but it can be evidenced with a quantum interaction gate. This is because the result of a quantum interaction depends on both θ and φ angles that represent the quantum structure, not just the θ quantum superposition angle.
With reference to
From the Bloch sphere perspective, the measurement corresponds to the projection of the quantum state on the base state axis, e.g., the z-axis. During such measurement of a single qubit the information on the quantum angle φ is lost. While the absolute angle φ of a quantum state cannot be measured, the difference in φ angle between two quantum states can be measured. A two qubit case having QA and QB vectors is illustrated on the right side of
Consider a two-qubit quantum structure, for example the double-V, or H, X, T, L, I-shape quantum interaction structure, and the two gate control signals GA and GB 1800, 1802, 1804, 1806. Qubit A acts as a control qubit in the sense that the designated quantum operation occurs only when qubit A is |1>. Qubit B is the one that undergoes the rotation action. The θ angle (i.e. latitude) is set by the τθ time (i.e. pulse width) when the quantum state is rotated about the z-axis. The τφ time that the vector performs a precession around the z-axis is the time period that determines the quantum angular rotation about the x-axis. Having a gate control GA that sets the time of z-rotation and the z-precession can generate an arbitrary rotation in the x, y, z coordinates. Note that the gate control signal GB may include multiple pulses. For example, the pulse can be split into two to create a θ rotation. Each pulse may, for example, result in a θ/2 rotation about the z-axis. The time interval between the two pulses is when the precession around the z-axis happens, without changing the θ angle that is directly observable in the quantum measurement. This time determines the φ angle value.
In a two qubit system as in the example provided herein, the Δφ angle can be measured because the difference in quantum angle φ impacts the result of the entangled state between qubit A and qubit B.
By applying the appropriate control signals to a double qubit structure a controlled-Pauli quantum gate can be implemented in which the Pauli rotation is enabled by the control qubit of the structure.
For example, if no rotation θ about the z-axis is desired, two pulses with the combined duration equal to the Rabi period is applied. In such case, the resulting vector has the same angle θ as it had at the beginning. Now, by changing the time distance between the two pulses that add up to the Rabi period a precession of the quantum state is enabled and the angle φ is changed. By changing the angle φ a rotation about both the x and y-axis is realized. Combining rotation about z-axis with rotation about the x-axis and the y-axis a generalized quantum rotation operation is generated by the proposed semiconductor quantum interaction gate. The difference between the number of controlled quantum rotation gates that can be implemented is given by the nature of the control signals. The controlled-NOT (CNOT) quantum gate is in fact the controlled-Z (cZ) Pauli gate. Any generalized controlled quantum rotation can be generated by the double qubit structure. Qubit A functions as the control qubit that enables the operation, while qubit B is the target qubit whose state undergoes the generalized rotation in the Bloch sphere.
In classical computing any memory bit can be set to 0 and 1 at any time and used as such in computations. Furthermore, classic bits can be copied and they will be an exact copy of the initial bit. This is not possible in quantum computing. First, a qubit cannot be copied. Since the qubit is represented by both the θ and φ angular phase in the Bloch sphere and any measurement of a qubit results only in a projection of the qubit on the axis of the base states, the internal φ quantum phase cannot be accessed and thus cannot be copied. Second, a memory bit cannot be simply set or reset in a reversible quantum computing machine, since this results in losing the information that the qubit had before.
In a quantum computation algorithm or in its hardware implementation it is not possible to deterministically place a qubit in a given prescribed state unless the algorithm/machine has access to qubits whose value is unknown. Such qubits that have their value unknown a priori are called ancilla qubits. The Hadamard equal distribution quantum state is an example of an unknown state.
In quantum computing algorithms and corresponding hardware, machine implementation of quantum catalyst uses ancilla qubits to store entangled states that enable performing states which will not be possible with local operations and classic communication structures. A quantum ancillary gate stores such an entangled state from an initial target quantum state.
The operation of the quantum ancillary interaction gate starts with the preparation of a Hadamard equal distribution state in qubit B, which is the target qubit to store the entangled state. It is important to first prepare the Hadamard state since it needs to have no other qubit in close proximity with which it can parasitically interact. It will not be possible to load the qubit A first and then initialize the Hadamard state in qubit B, since qubit B will interact with qubit A.
Once the Hadamard state is initialized in qubit B, the interaction gate can proceed with the ancillary action. There are multiple ways to initialize a Hadamard state in qubit B. For example, a base state can be loaded first by injecting a single electron into one of the two qdots of qubit B. Next, a gate control pulse GB having a width equal to half the Rabi oscillation period is used which results in an equal split of the state with a 50-50% superposition of the |0> and |1> base states. At the end of the Hadamard preparation phase the tunnel barriers are all high, thereby preventing tunneling (see potential diagrams 1820, 1822).
Next, the quantum state of qubit A is moved into the ancillary gate. Because qubit B is in an equally distributed state, qubit A will not be impacted by the presence of qubit B. Note that this is not the case, however, if qubit A is loaded first and then qubit B is attempted to be placed in the Hadamard state.
In the second phase of the ancillary interaction gate operation the tunneling barrier of qubit B is lowered by applying a corresponding GB gate control signal 1830 to target qubit B. Qubit A and qubit B will then interact and result in an entangled state (see potential diagrams 1824, 1826). The state of qubit B* will be pushed towards the mirror state of qubit A. If the length of the pulse GB is equal to the Rabi oscillation period of the ensemble, then there is no actual rotation from the gate control signal and all quantum rotation comes from the entanglement of the two qubits.
Note that qubit B* is not a copy of qubit A (this is not possible in quantum computing), but it is an entangled state originated from qubit A that can be stored and used in other operations.
An example application and use of the ancilla bits and ancillary gates is in quantum error correction circuits that calculate the syndrome code of the errors that were injected.
Note that there are many physical implementations of the ancillary gate. Preferably they have at least four qdots, but can have a larger number. Two exemplary embodiments are illustrated in the bottom of
Note that
Those skilled in the art will recognize that the boundaries between logic and circuit blocks are merely illustrative and that alternative embodiments may merge logic blocks or circuit elements or impose an alternate decomposition of functionality upon various logic blocks or circuit elements. Thus, it is to be understood that the architectures depicted herein are merely exemplary, and that in fact many other architectures may be implemented which achieve the same functionality.
Any arrangement of components to achieve the same functionality is effectively “associated” such that the desired functionality is achieved. Hence, any two components herein combined to achieve a particular functionality may be seen as “associated with” each other such that the desired functionality is achieved, irrespective of architectures or intermediary components. Likewise, any two components so associated can also be viewed as being “operably connected,” or “operably coupled,” to each other to achieve the desired functionality.
Furthermore, those skilled in the art will recognize that boundaries between the above described operations merely illustrative. The multiple operations may be combined into a single operation, a single operation may be distributed in additional operations and operations may be executed at least partially overlapping in time. Moreover, alternative embodiments may include multiple instances of a particular operation, and the order of operations may be altered in various other embodiments.
The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used herein, the singular forms “a”, “an” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms “comprises” and/or “comprising,” when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.
In the claims, any reference signs placed between parentheses shall not be construed as limiting the claim. The use of introductory phrases such as “at least one” and “one or more” in the claims should not be construed to imply that the introduction of another claim element by the indefinite articles “a” or “an” limits any particular claim containing such introduced claim element to inventions containing only one such element, even when the same claim includes the introductory phrases “one or more” or “at least one” and indefinite articles such as “a” or “an.” The same holds true for the use of definite articles. Unless stated otherwise, terms such as “first,” “second,” etc. are used to arbitrarily distinguish between the elements such terms describe. Thus, these terms are not necessarily intended to indicate temporal or other prioritization of such elements. The mere fact that certain measures are recited in mutually different claims does not indicate that a combination of these measures cannot be used to advantage.
The corresponding structures, materials, acts, and equivalents of all means or step plus function elements in the claims below are intended to include any structure, material, or act for performing the function in combination with other claimed elements as specifically claimed. The description of the present invention has been presented for purposes of illustration and description, but is not intended to be exhaustive or limited to the invention in the form disclosed. As numerous modifications and changes will readily occur to those skilled in the art, it is intended that the invention not be limited to the limited number of embodiments described herein. Accordingly, it will be appreciated that all suitable variations, modifications and equivalents may be resorted to, falling within the spirit and scope of the present invention. The embodiments were chosen and described in order to best explain the principles of the invention and the practical application, and to enable others of ordinary skill in the art to understand the invention for various embodiments with various modifications as are suited to the particular use contemplated.
This application claims the benefit of U.S. Provisional Application No. 62/687,800, filed Jun. 20, 2018, entitled “Electric Signal Pulse-Width And Amplitude Controlled And Re-Programmable Semiconductor Quantum Rotation Gates,” U.S. Provisional Application No. 62/687,803, filed Jun. 21, 2018, entitled “Semiconductor Quantum Structures and Computing Circuits Using Local Depleted Well Tunneling,” U.S. Provisional Application No. 62/689,100, filed Jun. 23, 2018, entitled “Semiconductor Controlled Entangled-Aperture-Logic Quantum Shift Register,” U.S. Provisional Application No. 62/694,022, filed Jul. 5, 2018, entitled “Double-V Semiconductor Entangled-Aperture-Logic Parallel Quantum Interaction Path,” U.S. Provisional Application No. 62/687,779, filed Jun. 20, 2018, entitled “Semiconductor Quantum Structures And Gates Using Through-Thin-Oxide Well-To-Gate Aperture Tunneling,” U.S. Provisional Application No. 62/687,793, filed Jun. 20, 2018, entitled “Controlled Semiconductor Quantum Structures And Computing Circuits Using Aperture Well-To-Gate Tunneling,” U.S. Provisional Application No. 62/688,341, filed Jun. 21, 2018, entitled “3D Semiconductor Quantum Structures And Computing Circuits Using Fin-To-Gate Tunneling,” U.S. Provisional Application No. 62/689,035, filed Jun. 22, 2018, entitled “3D Semiconductor Quantum Structures And Computing Circuits Using Controlled Tunneling Through Local Fin Depletion Regions,” U.S. Provisional Application No. 62/689,291, filed Jun. 25, 2018, entitled “Semiconductor Quantum Dot And Qubit Structures Using Aperture-Tunneling Through Oxide Layer,” U.S. Provisional Application No. 62/689,166, filed Jun. 24, 2018, entitled “Semiconductor Entangled-Aperture-Logic Quantum Ancillary Gates,” U.S. Provisional Application No. 62/692,745, filed Jun. 20, 2018, entitled “Re-Programmable And Re-Configurable Quantum Processor Using Pulse-Width Based Rotation Selection And Path Access Or Bifurcation Control,” U.S. Provisional Application No. 62/692,804, filed Jul. 1, 2018, entitled “Quantum Processor With Dual-Path Quantum Error Correction,” U.S. Provisional Application No. 62/692,844, filed Jul. 1, 2018, entitled “Quantum Computing Machine With Partial Data Readout And Re-Injection Into The Quantum State,” U.S. Provisional Application No. 62/726,290, filed Jun. 20, 2018, entitled “Controlled-NOT and Tofolli Semiconductor Entangled-Aperture-Logic Quantum Gates,” U.S. Provisional Application No. 62/695,842, filed Jul. 10, 2018, entitled “Entangled Aperture-Logic Semiconductor Quantum Computing Structure with Intermediary Interactor Path,” U.S. Provisional Application No. 62/698,278, filed Jul. 15, 2018, entitled “Entangled Aperture-Logic Semiconductor Quantum Bifurcation and Merging Gate,” U.S. Provisional Application No. 62/726,397, filed Sep. 3, 2018, entitled “Semiconductor Quantum Structure With Simultaneous Shift Into Entangled State,” U.S. Provisional Application No. 62/791,818, filed Jan. 13, 2019, entitled “Semiconductor Process for Quantum Structures with Staircase Active Well,” U.S. Provisional Application No. 62/788,865, filed Jan. 6, 2018, entitled “Semiconductor Process For Quantum Structures Without Inner Contacts And Doping Layers,” U.S. Provisional Application No. 62/794,591, filed Jan. 19, 2019, entitled “Semiconductor Quantum Structures Using Localized Aperture Channel Tunneling Through Controlled Depletion Region,” U.S. Provisional Application No. 62/703,888, filed Jul. 27, 2018, entitled “Aperture Tunneling Semiconductor Quantum Dots and Chord-Line Quantum Computing Structures,” U.S. Provisional Application No. 62/726,271, filed Sep. 2, 2018, entitled “Controlled Local Thermal Activation Of Freeze-Out Semiconductor Circuits For Cryogenic Operation,” U.S. Provisional Application No. 62/731,810, filed Sep. 14, 2018, entitled “Multi-Stage Semiconductor Quantum Detector with Anti-Correlation Merged With Quantum Core,” and U.S. Provisional Application No. 62/794,655, filed Jan. 20, 2019, entitled “Semiconductor Quantum Structures Using Preferential Tunneling Direction Through Thin Insulator Layers.” All of which are incorporated herein by reference in their entirety.
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| 62687803 | Jun 2018 | US | |
| 62687800 | Jun 2018 | US | |
| 62687779 | Jun 2018 | US | |
| 62687793 | Jun 2018 | US |
