Patent Application
20220321233
This application is based upon and claims the benefit of priority from prior United Kingdom Application number 2104518.2 filed on Mar. 30, 2021, the entire contents of which are incorporated herein by reference.
Embodiments relate generally to an optical system and method.
In optical systems, information may be stored in the phase of an optical signal. Such an optical signal is transmitted between distant nodes using an optical channel. The optical channel may introduce phase drift, which contributes to phase noise.
In a quantum communication system, information is sent between a transmitter and a receiver by encoded single quanta, such as single photons. A bit of information can be encoded upon a property of the photon, such as its polarization, phase, time or energy.
Quantum key distribution (QKD) is a technique that results in the sharing of cryptographic keys between two parties: a transmitter often referred to as “Alice”; and a receiver often referred to as “Bob”. The attraction of this technique is that it allows to quantify the maximum information potentially known to an unauthorised eavesdropper, often referred to as “Eve”. In many forms of QKD, Alice and Bob use two or more non-orthogonal bases in which to encode the bit values. These bases are kept secret during the quantum communication and are disclosed in a public discussion only after all the measurements have been completed by Bob. The laws of quantum mechanics dictate that measurement of the photons by Eve without prior knowledge of the encoding basis causes an unavoidable change to the quantum state of some of the photons. This will cause errors in the bit values sent between Alice and Bob. By comparing a part of their common bit string, Alice and Bob can thus determine the potential information gained by Eve. Some QKD methods require an accurate measurement of the phase of the photon received at the detector.
and
In an embodiment, an optical system is provided that comprises:
wherein the coherence length of the optical signal is longer than the path difference between first and second optical paths, and there is a path difference between the first and second paths of at least 1 km.
Optical systems that rely on communicating information by the interference of two optical signals are becoming more ubiquitous due to their applications in quantum communication and particularly quantum key distribution (QKD). One type of system that can be used in QKD allows communication between two communication nodes using a relay or detector node. The two communication nodes send optical pulses which are encoded in phase to the relay node and from the result of the interference measured by the relay node, a key can be shared between the two communication nodes. However, to be able to determine information about the phase used to encode the pulses from an interference measurement, typically such systems have a symmetrical layout. This provides certain design restrictions on the system in terms of the location of the position of the emitter of optical signals in the system. However, the above system, uses an emitter having a very long coherence length of greater than 1 km. This allows a high degree of asymmetry in the system.
In a further embodiment, the difference between the first path and the second path is at least 10 km or at least 50 km or at least 100 km.
As noted above, the system may comprise a first node and a second node, wherein the first node forms at least part of the first optical path and the second node forms at least part of the second optical path. The longer coherence length laser allows the emitter to be provided in one of the communication nodes, for example, the emitter may be located in the first node such that the second optical path extends from the emitter in the first node, through the second node and to the inference unit.
The first node and the second node may be linked by a standard optical fibre or may be linked by a frequency stabilising fibre which prevents phase drift of the signal when passing through the fibre.
As noted above, the optical system may be a quantum communication system comprising a first encoder is located in the first node and a second encoder located in the second node, the first encoder being configured to receive said first optical signal, encode said signal in phase such that the first optical signal output from said first encoder is encoded in phase,
the second encoder being configured to receive said second optical signal, encode said second optical signal in phase such that the second optical signal output from said second encoder is encoded in phase, wherein said interference unit is configured to interfere the encoded first optical signal and the encoded second optical signal.
As noted above, due to the large coherence length and the asymmetry that this allows, the emitter does not need to be provided in the same node as the interference unit.
Possible lasers that can provide the required long coherence lengths are lasers with a narrow emission linewidth, that can for example be obtained by locking a laser to a high finesse optical cavity. Examples of this type of laser sources are the Stable Laser Systems SLS-INT-1550-200-1, or the Menlo Systems ORS-Cubic Ultrastable Laser.
The emitter referred to above can be an emitter which is used to emit signals which will be processed to form “quantum signals”. Such quantum signals are pulsed signals which are attenuated to the order of a single photon or less, such that interception of the signal to read the signal by an unauthorised eavesdropper would result in the signal being destroyed. The eavesdropper could recreate the signal, but since the eavesdropper is unable to measure the phase with 100% accuracy, their recreation of the signal would increase the error rate to detectable levels.
The emitter can be a continuous wave “CW” emitter or it can emit a pulsed signal. If the emitter is a CW emitter, the CW signal will be processed into pulses either prior to encoding or during encoding. In an embodiment, each pulse is configured to contain on average one photon or less.
In an embodiment, when the system is configured as a quantum communication system, the interference unit is located in a detector node, said detector node comprises processing circuitry, said processing circuitry being configured to determine information about the encoder phase of the first and second optical signals by measuring the interference at the interference unit. The processing circuitry may be coupled to detectors to receive the results of an interference measurement from the interference unit.
In an embodiment the interference unit is configured to perform first order interference of said first and second optical signals. The first node, second node and detector node may be configured to implement quantum communication using twin field quantum key distribution “TF-QKD”. However, other protocols could also be supported.
In an embodiment, the emitter may be configured to output signals at n different wavelengths, where n is an integer of at least 2, such that there are n different wavelengths in the first optical signal and n different wavelengths in the second optical signal. Thus, the optical system allows many quantum channels to operate in parallel, each channel having its own frequency.
In the above optical system, the emitter may be configured to output a reference signal. In one embodiment, the reference signal is a CW signal as this allows the most information about the quantum system to be transmitted by the reference signal.
The reference signal may have a different wavelength to the encoded first optical signal and the encoded second optical signal. This allows the reference signal to be sent in parallel with the encoded signals. However, it is possible to send the reference signal at the same frequency as the encoded pulses and time multiplex the reference signal with the encoded pulses.
In an embodiment, the detector node is configured to interfere the reference signal at the interference unit and obtain tuning parameters for said optical system. The detector node may then further comprise a control unit which receives said tuning parameters as an input, said control unit being configured to tune said optical system to remove phase drift. The control unit is configured to tune said optical system using at least one of active stabilisation and passive stabilisation. During active stabilisation, the control unit is configured to control a fibre stretcher or phase modulator to accommodate for phase drift between the first and second optical paths. For passive control, the control unit is configured to modify the results of the interference measurement, for example to remove results or to reverse results depending on the phase drift determined from the reference signal. The stabilisation allows for compensation for phase drift between the whole of the first path and the whole of the second path.
In a further embodiment, a method of optical communication is provided, the method comprising:
The first 3 and second 5 optical paths can be provided by optical fibres. However, the first and second optical paths could also be free space paths or paths that are partially free space.
The output of the interference unit 9 is directed into either detector 11 or 13 dependent on the phase relationship between the first and second optical signals. The detectors 11 and 13 will be described later in detail along with the first interference unit.
The emitter 1 will have a coherence length. The coherence length of a laser is a quantity that indicates the maximum distance that its optical output can travel while still maintaining coherence with the latest optical output emitted by the same laser. Therefore, to be able to obtain information about the first and second optical signals when they left the emitter, from interference measured at the interference unit, the difference in length between the first optical path 3 and the second optical path 5 must be less than the coherence length of the emitter 1.
The system comprises a first communication node 21 and a second communication node 23. In practice, the system of
The emitter outputs an optical signal that forms said first optical signal along said first optical path 3 and the second optical signal that passes through the second optical path. Provided in said first optical path 3 and within said first communication node 21 is an encoding unit 25. The encoding unit 25 is a phase encoding unit that encodes the optical signal from the emitter 1 with a randomly varying phase. The optical signal may be a pulsed signal or a continuous wave (CW) signal. In the case of a CW signal, the signal is carved or chopped into pulses. This may be performed in the encoder 21 or prior to encoding.
The second optical path 5 passes through the second node 23. The second node 23 comprises a second encoding unit 27 and the second optical path 5 passes through said second encoding unit 27. The second encoding unit 27 is also a phase encoding unit that encoder the second optical signal with a randomly varying phase. The optical signal in the second path may be a pulsed signal or a continuous wave (CW) signal. In the case of a CW signal, the signal is carved or chopped into pulses. This may be performed in the second encoding unit 27 or prior to encoding. In an embodiment, the second optical signal is a CW signal when it travels from the emitter to the second node. The signal is then carved or chopped at the second node 23.
In an embodiment, the key is shared between the first and second communication nodes 21, 23 which will be referred to as Alice 21 and Bob 23 according to a TF-QKD scheme. In a Twin field QKD (TF-QKD) scheme information is encoded in the electromagnetic phase of an optical field.
It is desired for Alice 21 and Bob 23 to exchange a key. Alice 21 and Bob 23 transmit to detector node 7 which is a quantum receiver. The two optical transmitters Alice 21 and Bob 23 send light pulses to a detector node 7, usually called “Charlie”, which optically couples and measure them. In the arrangement of
Alice 21 and Bob 23 can distil a secret key from the publicly announced results of Charlie's counts. In TF-QKD the users Alice 21 and Bob 23 are both configured as optical transmitters, therefore the security is not threatened by the vulnerabilities of the optical receiver. Protecting optical transmitters is far easier than protecting optical receivers. In the former case, the optical pulses are prepared locally by a trusted user, whereas in the latter they are received from the outside, prepared by someone who is untrusted and possibly interested in breaking the security of the system. It is worth noting that if Charlie 7 is evil and does not comply with the correct execution of the TF-QKD protocol, the two honest users Alice 21 and Bob 23 can always detect his attempt at cheating with very high probability by the laws of quantum mechanics.
In this simplified scenario, a common fixed phase reference φR is available to all the users all the time. As the phase reference is common to everybody and constant, it can be assumed without loss of generality that φR=0. Alice 21 has a phase locked light source 1 and a phase modulator in her first encoding unit 25. The phase locked light source 1 generates optical pulses with constant phase, and outputs them to the encoding unit 25.
Bob's node 23 is configured in a similar manner to Alice's 21. However, Bob receives the second optical signal from Alice and encodes this signal.
In an embodiment, Alice 21 prepares a first light pulse using her emitter 1 to produce a pulse and then encodes her secret information in the electromagnetic phase difference between the light pulse and the phase reference φR using encoding unit. In this particular example, the encoding of the BB84 protocol [C. H. Bennett and G. Brassard, Proc. of IEEE Int. Conf. on Comp. Sys. Sign. Process. (IEEE, New York, 1984), pp. 175-179] is considered, where Alice encodes a random “basis”, either Z or X, by selecting a phase value αA=0 or αA=π/2, respectively, and a random “bit”, either 0 or 1, by selecting a phase value βA=0 or βA=π, respectively.
The optical pulse prepared by Alice will then carry a total electromagnetic phase αA+βA. Then Alice moves to the next pulse and repeats the procedure. Bob performs similar steps with phases αB and βB on the pulses received via the second optical path 5 from Alice 21. The total electromagnetic phases of the pulses exiting Alice 21 and Bob's 23 nodes are indicated by φA and φB respectively:
Alice: φA=αA+βA (1)
Bob: φB=αB+βB (2)
Since all the phases are stable, Alice 21 and Bob's 23 phase values remain constant during the propagation through the communication channels. When the optical pulses reach Charlie's non-polarising beam splitter, they undergo a so-called “1st-order interference”, which is of the same kind as the one seen in a double-slit interference experiment and in standard QKD. This means that in order to interfere deterministically, the phases of Alice and Bob's pulses should satisfy the following interference condition:
φB−φA=0 mod πC, (3)
where “mod π” means “addition modulo π”. As the phase values associated to the bits are either 0 or π, Eq. (3) reduces in this case to the following condition about the matching condition of the bases:
αB−αA=0. (4)
If this condition is satisfied, then when
βB−βA=0, (5)
the light emerges from the port connected to one of the detectors 11 or 13, whereas when
βB−βA=π (6)
the light emerges from the port connected to the other of detectors 11 and 13. Therefore, after Charlie announces his counts and after Alice and Bob announce their bases, Alice and Bob can reconstruct the bit value prepared by the other user in all cases where the bases match. In case of non-matching bases, the users discard the data, as in the standard BB84 protocol. In an embodiment, Charlie announces all the instances where exactly 1 of his detectors clicked. For these instances he also announces which detector clicked.
Another possibility is that Charlie announces also when both his detectors clicked.
These double clicks are useless for the final key and can be treated in two ways:
1) Alice and Bob discard the runs where Charlie announced the double clicks;
2) Alice and Bob transform a double click into a single click by deciding at random which of Charlie's detectors clicked.
The security is the same in both cases. In an example detectors 11 and 13 are single photon detectors.
According to an example, detectors 11 and 13 are superconducting nanowire single photon detectors (SNSPDs). According to a further example, the SNSPDs are Single Quantum EOS 410 CS cooled at 2.9 K.
However, to allow the interference to carry useful information about the encoding of the pulses, the path difference between the first optical path 3 and the second optical path 5 must be less than the coherence length of the emitter 1. This requirement has tended to mean that quantum communication systems which have a three node arrangement have a symmetrical arrangement where the length of the first optical path and the length of the second optical path are balanced.
However, if an emitter with a long coherence length is used, for example, comprising a laser locked to a high finesse cavity, then path mismatches of 1 km or more can be tolerated. This allows the emitter 1 to be provided in one of the first or second communication nodes 21, 23 which simplifies the whole design of the system.
The above discussion has concentrated on encoding pulses. However, it is also possible for an additional optical signal to be sent that is not encoded to be used as a reference signal. This reference signal can be sent as a CW signal or as a pulsed signal.
The quantum system 401 of
The detector node 407 is shown to be provided in a central location in relation to the two transmitting nodes 403 and 405, however, it should be understood that the position of the detector node 407 may not be central. In particular, the detector node 407 may be provided in closer proximity to one of the communication nodes 403 and hence further away from the other communication node 405.
The first communication node 403 is communicatively coupled to the detector node through a first optical channel 413, and the second transmitting node 405 is communicatively coupled to the receiving node through second optical channel 415. In an embodiment, the first and second optical channels 413 and 415 are optical fibres. Furthermore, as it is shown in the
The system 401, also comprises a service fibre 409 which is provided between the first communication node 403 and the second communication node 405, and allows an optical signal to be communicated from the first communication node 403 to the second communication node 405. According to an embodiment, the service fibre 409 may be a standard optical fibre and does not need to have special properties such as frequency stabilisation. However, in an alternative embodiment, the service fibre may be a frequency stabilised service fibre 509,
In this embodiment, the first communication node 403 comprises a plurality of optical sources 404 which are configured to generate light signals at frequencies v1, v2, . . . , vn. However, it should be understood that the first communication node 403 may also comprise a single optical source 404. In this embodiment, each of the light sources 404 are coherent light sources with coherence length longer than the path mismatch between the first optical path and the second optical path.
Here, the first optical path comprises the first optical channel 413 including the delay fibre 416. The second optical path comprises the service fibre 409 and the second optical channel 415. The optical sources 404 are configured to generate a plurality of optical pulses. The optical signals might be in a fixed wavelength and/or phase relationship with one another's wavelength and/or phase. Alternatively, the optical light sources 404 might be independent light sources and the generated light signals may not be in a fixed wavelength and/or phase relationship with one another.
In
In the system of
The first wavelength division multiplexer is provided in the first optical path and the second wavelength division multiplexer is provided in the second optical path.
A possible implementation of the encoder is shown in
Two phase modulators (PMs) 873 are then used to encode the phase of the optical pulses. In this system, two PMs are cascaded instead of using just one to reduce their RF signal amplitudes. By limiting each PM to a modulation range of
it is possible to achieve a phase modulation that covers the whole [0, 2π) range and that is linear with its driving signals amplitude. Each PM is driven by a 8-bit DACs, and with two cascaded we are able to encode 512 different phase values over the 2πphase range.
All the modulators are driven by two synchronised 12 GSa/s waveform generators, one for each user, programmed to encode a 25040-pulse long pseudo-random pattern.
The PMs are followed by an electrically driven polarisation controller (EPC) 875, a variable optical attenuator (VOA) 877, and a 99:1 beam splitter (BS) 879. The EPC is used to control the polarisation of the λ1 photons after transmission through the channel. Each user has a continuous polarisation optimisation routine that aligns the quantum signals along the preferred optical axis at Charlie.
The VOA sets the flux of the quantum signal before injection into the quantum channel, through a flux calibration control loop that continuously adjusts the VOA so as to have a stable optical output, monitored at the strong output of the BS.
In the first communication unit of
The first optical signal is transmitted to the receiving node through the first optical channel 413, while the second component is transmitted to the second transmitting node 405 through the service fibre 409. The service fibre 409 may comprise one or more wavelength amplifiers, such as Erbium-doped fibre amplifier EDFAs, which may be configured to optically amplify the optical signal. However, in an embodiment, the service fibre 409 does not include any frequency stabilisation that allows it to compensate for changes to the frequency as the signal passes along the fibre.
In this embodiment of the system, the second communication node 405 does not comprise any light source. Instead, the second communication node 405 is configured to receive the optical signal from the first communication node 403.
In an embodiment, the second transmitting node comprises an optical wavelength de-multiplexer 419 which de-multiplexes the received optical signals including the reference signals into the individual optical signals so that they can be treated separately.
The different optical signals may be optically manipulated in accordance with the specific application requirements. In an embodiment, each of the signals (with the exception of the reference) is directed through an encoding unit described with reference to
The optical signals may also be regenerated, examples of optical regeneration techniques include but are not limited to EDFAs, Optical Phase Locking Loop, Optical Injection Locking, Stimulate Raman Scattering, and Stimulated Brillouin Scattering. In an embodiment, the regeneration units 406 may be coherent light regeneration units. The regeneration optical signals allows amplification of the frequency output by the service fibre. This may be achieved by using a local coherent emitter which is configured to output frequency that matches to the output frequency (or frequencies) of the service fibre.
In embodiments, the optical signals may not be optically manipulated or regenerated and can be directly relayed into the optical multiplexer 421 and transmitted to the receiving node through the second optical channel 415.
For simplicity, this is not shown in
In the encoder of
The detector node 407 is configured to receive the first optical signals from the first communication node 403 and the second optical signals from the second communication node 405. The detector node 407 comprises an interference unit 423 which interferes the two optical signals and the resulting signals are de-multiplexed by optical de-multiplexers 425 to the individual optical signals. The individual optical signals are detected by the optical detectors 427.
The detector node 407 may also comprise stabilisation units 422. The stabilisation units 422 are configured to stabilise the received optical signals from the first transmitting node 403 and the second transmitting node 405, before the optical signals are interfered at the interference unit 423.
The received optical signals may be stabilised using active or passive stabilisation techniques.
Both the signals that travel along the first optical path and the signals that travel along the second optical path will be subjected to phase noise or phase drift in the channels that will affect the ability of the pulses to interfere. To address this, the channels are stabilised. By measuring the interference between the reference signals, it is possible to determine the error between the channels.
In active stabilisation a fibre stretcher, phase modulator or similar device will be provided in one of the optical paths and is used to minimise the phase drift between the channels. In one embodiment, the active stabilisation comprises two stages, a fast stage comprising a phase modulator and a slower stage comprising a fiber stretcher. The two stages can be used together to correct for phase drift. The measurement of phase drift can be determined from the interference results of the reference signals. It is also possible to passively compensate for phase drift. This can be done by post processing the measured signals.
As discussed above, in order to obtain information about the first and second optical signals when they left the emitter, from interference measured at the interference unit, the coherence length of the emitters, either signal emitters or reference emitters must be longer than the path mismatch between the first and second optical paths.
In an embodiment, the first communication node may further comprise a delay fibre 416, as shown in
Although it is not necessary for first and second communication nodes to be connected via a frequency stabilised service fibre, such an arrangement is possible, for example, as shown in
The embodiment of
The frequency stabilised service fibre does not need to be used. However, it is possible to connect the first and second transmitting nodes 403, 405 with a frequency stabilised fibre. The frequency stabilised fibre is configured to allow recovery of the frequency that was input into the fibre. When radiation passes along a fibre, the phase noise generated in the fibre causes a variation in the frequency of the radiation that exits the fibre compared to the frequency that was input into the fibre. A frequency stabilised fibre actively compensates for the changes in the frequency caused by the fibre by measuring the variation caused by the fibre and providing a correction based on this measurement. The measurement in the variation of frequency can be performed by reflecting the received radiation back from the output to the input of the fibre and measuring the variation using interference. A correction can then be applied using information derived from this measurement. For example, a fast feedback controlling an electro-optic modulator, such as an Acousto-optic Modulator (AOM), or a phase modulator could be used to allow the output frequency of the frequency stabilised fibre to match its input frequency.
Although, the above has been described with reference to QKD and the TF-QKD protocol has been exemplified, the above embodiments have other applications, for example in DLCZ type quantum repeaters and quantum fingerprinting. Applications outside quantum technology are also possible.
Whilst certain embodiments have been described, these embodiments have been presented by way of example only, and are not intended to limit the scope of the inventions. Indeed, the novel devices, and methods described herein may be embodied in a variety of other forms; furthermore, various omissions, substitutions and changes in the form of the devices, methods and products described herein may be made without departing from the spirit of the inventions. The accompanying claims and their equivalents are intended to cover such forms or modifications as would fall within the scope and spirit of the inventions.
| Number | Date | Country | Kind |
|---|---|---|---|
| 2104518.2 | Mar 2021 | GB | national |
