CN109218020A - Teleportation method based on four bit Cluster State of unknown parameter - Google Patents
Teleportation method based on four bit Cluster State of unknown parameter Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
- H04L9/0816—Key establishment, i.e. cryptographic processes or cryptographic protocols whereby a shared secret becomes available to two or more parties, for subsequent use
- H04L9/0852—Quantum cryptography
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/70—Photonic quantum communication
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
- H04L9/0816—Key establishment, i.e. cryptographic processes or cryptographic protocols whereby a shared secret becomes available to two or more parties, for subsequent use
- H04L9/0852—Quantum cryptography
- H04L9/0858—Details about key distillation or coding, e.g. reconciliation, error correction, privacy amplification, polarisation coding or phase coding
Abstract
The present invention relates to a kind of teleportation method based on four bit Cluster State of unknown parameter, network terminal user Alice tangles four bit Cluster State channels using part and transmits unknown two particle state to another terminal user Bob.This method mainly includes that identical four bit section of five step (1) channels preparation scheduling of resource side of network center preparation multiple groups tangles Cluster State, establishes quantum part and tangles channel, and carries out particle distribution to Alice and Bob.The present invention can realize unknown two particles probability of state teleportation under the channel of unknown parameter, it avoids the demand for tangling channel to maximum and reduces interference of the quantum communication environment noise to quantum communications, the difficulty of specific communication manipulation is considerably reduced, so that the teleportation of unknown two particle state is easier to physics realization.
Description
Technical field
The present invention relates to communication network and information dissemination methods, more particularly to based on four bit Cluster State of unknown parameter
Teleportation method.
Background technique
Quantum information science is the cross discipline formed by quantum mechanics and information science.Quantum information science be information science with
The sustainable development of the communication technology and constantly change provide new principle and method.Currently, the main research side of quantum information science
To for quantum communications, quantum calculation and quantum cryptography.Wherein, quantum communications mainly include quantum teleportation, quantum dense
Coding and quantum key distribution three parts, quantum calculation mainly includes quantum computer and quantum computing method two parts.Quantum
Informatics just receives lot of domestic and foreign mechanism and the especially concern of scholar from being born certainly.Especially in terms of quantum communications,
Since it has high efficiency and abampere congruence characteristic in message transmitting procedure, since the nineties in last century, various countries
Scientist, which just puts forth effort on, comes true it by theory.
Quantum teleportation is one of most noticeable project in current quantum information, it is the weight of quantum information theory
Want the basis of component part and quantum calculation.1993, four national six scientists such as Bennett combined
The paper [1] that one entitled " transmitting unknown quantum state by the classical and channel EPR " has been delivered on " Phys.Rev.Lett ", is started
People study the beginning of quantum teleportation (quantum teleportation), and it is hidden to quantum also therefore to excite people
The research interest of shape biography state.After the initiative paper publishing of Bennett et al., people have carried out extensively quantum teleportation
General in depth to study, the scheme about quantum teleportation occurs in succession: nineteen ninety-five Brassard G et al. propose using by
Control NOT gate and single quantum bit operate constituted quantum circuit to realize Quantum Teleportation [2]；1997, Zheng's bodyguard
Mark proposes the Quantum Teleportation [3] based on chamber QED；1998, Nielsen etc., which is proposed, passed through nonmaximally entangled state
Realize the scheme [4] of Teleportation；The teleportation of two particle Entangled State is not proposed with the bright small component of Guo Guang in 2002 within 2000
The Teleportation scheme [6] of state scheme [5] and three ions；2005, Bae et al. was proposed under any asymmetric state
Tripartite's Quantum Teleportation [7]；Since 2005, Yu Xu great waves group is directed to the wireless quantum communications net of labyrinth
Network, it is proposed that wireless Ad Hoc quantum communication network and the related protocol [8-10] for having studied the network.Quantum teleportation is
Using it is shared tangle, local operations and classical communication transmit quantum state.In quantum teleportation, require no knowledge about to be transmitted
The status information of quantum bit, but Alice must transmit classical information to Bob, Bob could execute local operations reappear it is unknown
Multidimensional muliti-qubit Entangled State.
Cluster State [11] is a kind of new quantum entanglement that H J Briegel and R Raussendorf was proposed in 2001
State, and prove that Cluster State in quantum number N > 3, has some more special properties, Cluster State can be prepared by a variety of methods
It obtains, such as utilizes optical system, chamber QED system and ion trap systems etc. [12-15].Four bit Cluster States have GHZ simultaneously
(Greenberger-Horne-Zeilinger) attribute of state [16] and W state, and it has been proved to have stronger support than GHZ state
The ability [17] of imperial eliminating coherence, resists quantum bit loss [18], maximum connectivity and persistently tangling property, while four bit clusters
State can also be used as the powerful tool of one kind to execute non-local test [19-20].Four bit Cluster States are in addition in unidirectional quantum
It plays an important role in calculating, is also widely used in other fields, such as it can also be used in the direct secure communication of quantum.
The some scholars and researcher of home and overseas have also carried out a series of researchs about the concentration of cluster state in recent years, and
Propose a series of scheme.It is dense that India scientist Choudhury and Dhara propose the cluster state based on linear optics
Contracting scheme [21].The quantum information expert Zhang Shou seminar of Yanbian University of China proposes based on cross-Kerr medium
Effective three steps cluster state entanglement concentration scheme [22].It is nonlinear that the propositions such as Xu Tingting are based on cross-Kerr
The entanglement concentration scheme [23] of two steps.
The present invention is as follows with reference to bibliography:
[1]Bennett C H,Brassard G,Crepeau C,Jozsa R,Peres A,Wootters W
K.Teleporting an unknown quantum state via dual classical and Einstein-
Podolsky-Rosen channels [J] .Phys.Rev.Lett., 1993,70 (13): 1895~1899.
[2]Brassard G,Mann A.Measurement of the bell operator and quantum
Teleportation [J] .Phys.Rev.A, 1995,51 (3): 1727~1731
[3]Zheng S B,Guo G C.Teleportation of atomic state through the Raman
Atom-cavity-filed interaction [J] .Phys.Lett.A, 1997,232 (3): 171~174
[4]Nielsen M A,Knill E,Laflamme R.Complete quantum teleportation by
Nuclear magnetic resonance [J] .Nature, 1998,396:52~55
[5]Hong L,Guo G C.Teleportation of a two-particle entangled state via
Entanglement swapping [J] .Phys.Lett.A, 2000,276 (6): 209~212
[6]Liu J M,Guo G C.Quantum teleportation of a three-particle
Entangled state [J] .Chin.Phys.Lett., 2002,19 (4): 456~459
[7]Bae J,Jin J,Kim J,et al.Three-party quantum teleportation with
Asymmetric states [J] .Chaos Solitons&Fractals, 2005,24 (4): 1047~1052
A kind of Ad Hoc network mac-layer protocol [J] meter for improving energy efficiency of the such as [8] Yu Xutao, Zhang Chen, Bi Guangguo
Calculation machine journal, 2006,29 (2): 256~266
[9] Yu Xutao, creep, the such as Zhang Chen remotely pass the wireless Ad Hoc quantum communication network routing of state based on quantum
Agreement [J] Acta Physica Sinica, 2012,61 (22): 50~57
A kind of new balancing flow of the such as [10] Yu Xutao, Zhang Chen, Bi Guangguo improves the Ad hoc net of network energy efficiency
Network Route establishment algorithm [J] electronics and information journal, 2005,27 (12): 1988~1993
[11] Briegel H J, Raussendor F R.Persistent Entanglement in Arrays of
Interacting Particles [J] .Physical Review Letters, 2001,86 (5): 910-913.
[12]Borhani M,LossD.Cluster states from Heisenberg interactions[J]
.Physical Review A,2005,71:032308.
[13]Walther P,Resch K J,Rudolph T,Scheneck E,Weinfurter H,Vedral V,
Aspelmeyer M,Zeilinger A.Experimental one-way quantum computing[J].Nature,
2005,434:169-176.
[14]Browne D E,Rudolph T.Efficient linear optical quantum computation
[J].Physical Review Letters,2005,95:010501.
[15]Zou X B,Mathis W.Schemes for generating the cluster states in
microwave cavity QED[J].Physical Review A,2005,72:013809.
[16] Nie Y Y, LI Y H, Wang A S.Semi-quantum information splitting using
GHZ-type states [J] .Quantum Information Processing, 2013,12 (1): 437-448.
[17]Dür W,Briegel H J.Stability of macroscopic entanglement under
decoherence[J].Physical Review Letters,2004,92(18):180403.
[18]Raussendorf R,Briegel H J.Persistent entanglement in arrays of n
interacting particle[J].Physical Review Letters,2001,86:910-913.
[19]Walther P,Aspelmeyer M,Resch K J.Experiment violation of a
cluster state bell inequality[J].Physical Review Letters,2005,95(2):020403
[20]Kiesel N,Schmid C,Weber U.Experiment analysis of a four-qubit
photon cluster state[J].Physical Review Letters,2005,95(21):210502.
[21]Choudhury B S,Dhara A.An entanglement concentration protocol for
cluster states[J].Quantum Information Processing,2013,12(7):2577-2585.
[22]Si B,Su S L,Sun L L.Efficient three-step entanglement
concentration for an arbitrary four-photon cluster state[J].Chinese Physics
B,2013,22(3):030305.
[23]Xu T T,Xiong W,Ye L.Concentrating arbitrary four-photon less-
entanglement cluster state by only single photons[J].Modern Physics Letters
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Summary of the invention
Based on this, it is necessary in view of the above technical problems, provide a kind of stealth based on four bit Cluster State of unknown parameter
Transfer approach.
A kind of teleportation method based on unknown parameter cluster state, includes the following steps:
Step 1, channel prepare, and terminal user Alice and terminal user Bob are communicating pair, and particle a and particle b are carried
Unknown quantum state is held by the terminal user Alice, and unknown two particle states form isScheduling of resource side of network center prepares the identical four bits Cluster State of multiple groups |
C4>1234、|C4>1'2'3'4'、|C4>=a0|0000>+b0|0011>+c0|1100>-d0|1111>
As quantum entanglement channel, wherein parameter a0,b0,c0,d0It is unknown, wherein the terminal user Alice possesses particle 1 and particle
3, remaining returns the terminal user Bob all；
Step 2, matching measurement, the terminal user Alice execute Bell base to (b, 3) to (a, 1) and particle to particle
Measurement, and measurement result is announced, quantized system has following form at this time:
The terminal user Bob is available various forms of according to the measurement result of the terminal user AliceBob is by acquisition laterWith one group of four bit Cluster State of unknown parameter | C4>1'2'3'4'Execute the measurement of Bell base, root
It is available various forms of according to Bell measurement result
Specifically, the terminal user Bob is obtained according to the measurement result of AliceForm have 16 kinds of situations, when
When Bob ignores partial operation, according to the parametric form of measurement result, 4 classes can be divided into, Bob will laterIt is unknown with one group
Four bit Cluster State of parameter | C4>1'2'3'4'After executing the measurement of Bell base, obtainForm have 256 kinds of possibility, when Bob is neglected
Slightly I, Z, XZ when the partial operations such as X, according to the parametric form of measurement result, can be divided into altogether 16 classes, specific as follows:
It can be seen that working as from above-mentioned expression formulaForm beWhen, at this timeGinseng
With square in number form formula, this form will be unable to realize that the teleportation of four bit Cluster State of unknown parameter is needed it
It rejects.
The terminal user Bob prepares match channels according to measurement result, and Bob utilizes the multiple groups unknown parameter four possessed
Match group merges progress Bell measurement to bit Cluster State two-by-two, finds and measurement result beforeIdentical or equivalent combinations
Channel；With wherein two groups of unknown parameter Cluster statesIt illustrates: the terminal user
Bob is to particle to (B1,A2) and particle to (D1,C2) measurement of Bell base is executed, and to particle A1With particle C1It executes corresponding
Positive operation, after positive operation, obtain four kinds it is various forms of
It can be seen that working as from above-mentioned expression formulaForm be | C1> when, at this timeParametric form in
With square, this form will be unable to realize that the teleportation of four bit Cluster State of unknown parameter needs to be rejected；WhenForm be | C2> when, at this timeParametric form withMatch；WhenForm be | C3> when, at this timeParametric form withMatch；WhenForm be | C4> when, at this timeParametric form withMatch.
Step 3 restores unknown quantum state, and the terminal user Bob can be prepared successfully a variety of after completion matching measurement
Form | C >；Terminal user Bob selection withWhat form matched | C > execution Bell measures and carries out recovery operation,
Make it possible to achieve the teleportation of unknown two particle state.
WithFormFor andForm be | C2>, for example:
Wherein,
User Bob is to particle to (2 ', A1) and particle to (4 ', C1) Bell measurement is executed, not according to Bell measurement result
Together, to particle B2With particle D2Corresponding positive operation is executed, is obtained two different form of
WhenWhen, at this time the Unknown Channel parameter the case where
The lower unknown two particles quantum state for successfully having restored transmission.
The above-mentioned teleportation method based on four bit Cluster State of unknown parameter, can realize under the channel of unknown parameter
The teleportation of unknown two particle state avoids the demand for tangling channel to maximum and reduces quantum communication environment noise to quantum
The interference of communication；All measurement methods used considerably reduce the difficulty of specific communication manipulation for the measurement of Bell base, so that
The teleportation of unknown two particle state is easier to physics realization.
Detailed description of the invention
Fig. 1 is a kind of stream of the teleportation method based on four bit Cluster State of unknown parameter provided by the embodiments of the present application
Cheng Tu.
Fig. 2 is a kind of end of the teleportation method based on four bit Cluster State of unknown parameter provided by the embodiments of the present application
The particle of end subscriber Alice, Bob distribute schematic diagram.
Fig. 3 is a kind of original of the teleportation method based on four bit Cluster State of unknown parameter provided by the embodiments of the present application
Manage schematic diagram.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawings and embodiments, right
The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and
It is not used in the restriction present invention.
Fig. 3 is arrived refering to fig. 1:
1, four bit unknown parameter Cluster State
The form that four bit sections that the present invention uses tangle Cluster State is as follows:
| C >=a0|0000>+b0|0011>+c0|1100>-d0|1111>
2, Bell base
Bell base is the maximal entangled state being made of two particle, it constitute one group of the four-dimensional space Hilbert it is complete just
Base is handed over, concrete form is as follows:
3, phase gate is controlled
It controls phase gate (CZ), it is gathered around there are two quantum bit is inputted, and is control quantum bit and target quantum respectively
Bit.Its effect is: when control quantum bit is in simultaneously with target quantum bit | it is 1 > when, the phase of the two postures is anti-
Turn π.Its corresponding matrix form are as follows:
4, Pauli gusts
Some Unitary Matrixes namely Pauli gusts can be also used in the present invention.Concrete form is as follows:
As shown in Figure 1, a kind of teleportation method based on four bit Cluster State of unknown parameter, the method achieve terminals
User Alice transmits unknown two particle state to another terminal user Bob by four bit Cluster State channel of unknown parameter, specific to walk
It is rapid:
Step 1, channel prepare, and terminal user Alice and Bob are communicating pair, and particle a and particle b carry unknown quantum
State is held by Alice, and Alice transmits unknown two particle state to Bob by unknown parameter channel, and unknown two particle states form isScheduling of resource side of network center prepares the identical unknown ginseng of four bits of multiple groups
Number Cluster State | C4>1234、|C4>1'2'3'4'、 |C4>=a0|0000>+b0|0011>+c0|1100
>-d0| 1111 > it is used as quantum entanglement channel, parameter a0,b0,c0,d0It is unknown, wherein the terminal user Alice possess particle 1 with
Particle 3, remaining returns the terminal user Bob all；
Step 2, matching measurement, the terminal user Alice execute Bell base to (b, 3) to (a, 1) and particle to particle
Measurement, and measurement result is announced, quantized system has following form at this time:
Wherein
Table 1: the relationship table of terminal user Bob execution Unitary transformation
The terminal user Bob is available various forms of according to the measurement result of the terminal user AliceBob is by acquisition laterWith one group of four bit Cluster State of unknown parameter | C4>1'2'3'4'Execute the measurement of Bell base, root
It is available various forms of according to Bell measurement result
Specifically, the terminal user Bob is obtained according to the measurement result of AliceForm have 16 kinds of situations, when
When Bob ignores partial operation, according to the parametric form of measurement result, 4 classes can be divided into, Bob will laterIt is unknown with one group
Four bit Cluster State of parameter | C4>1'2'3'4'After executing the measurement of Bell base, obtainForm have 256 kinds of possibility, when Bob is neglected
Slightly I, Z, XZ when the partial operations such as X, according to the parametric form of measurement result, can be divided into altogether 16 classes, specific as follows:
Table 2: the measurement result of terminal user BobWith measurement resultThe table of comparisons
As can be seen from the above table whenForm beWhen, at this timeParametric form
In with square, for this form will be unable to realize four bit Cluster State of unknown parameter teleportation need to be rejected.
The terminal user Bob prepares match channels according to measurement result, and Bob utilizes the multiple groups unknown parameter four possessed
Match group merges progress Bell measurement to bit Cluster State two-by-two, finds and measurement result beforeIdentical or equivalent combinations
Channel；The four bit Cluster State of two of them unknown parameter possessed with BobIt illustrates:
Wherein
Bob is to particle to (B1,A2) and particle to (D1,C2) measurement of Bell base is executed, and to particle A1With particle C1It executes
Corresponding positive operation, after positive operation, obtain four kinds it is various forms of
Table 3:Bell measurement result withThe parametric form table of comparisons
As can be seen from the above table whenForm be | C1> when, at this timeParametric form in flat
Side will be unable to this form to realize that the teleportation of four bit Cluster State of unknown parameter needs to be rejected；When
Form be | C2> when, at this timeParametric form withMatch；WhenForm
For | C3> when, at this timeParametric form withMatch；WhenForm be | C4>
When, at this timeParametric form withMatch.
Step 3 restores unknown quantum state, and the terminal user Bob can be prepared successfully a variety of after completion matching measurement
Form | C >；Terminal user Bob selection withWhat form matched | C > execution Bell measures and carries out recovery operation,
Make it possible to achieve the teleportation of unknown two particle state.
WithFormFor andForm be | C2>, for example:
Wherein,
User Bob is to particle to (2 ', A1) and particle to (4 ', C1) Bell measurement is executed, not according to Bell measurement result
Together, to particle B2With particle D2Corresponding positive operation is executed, is obtained two different form of
Table 4:Bell measurement result withThe parametric form table of comparisons
WhenWhen, at this time the Unknown Channel parameter the case where
The lower unknown two particles quantum state for successfully having restored transmission.
Each technical characteristic of embodiment described above can be combined arbitrarily, for simplicity of description, not to above-mentioned reality
It applies all possible combination of each technical characteristic in example to be all described, as long as however, the combination of these technical characteristics is not deposited
In contradiction, all should be considered as described in this specification.
The embodiments described above only express several embodiments of the present invention, and the description thereof is more specific and detailed, but simultaneously
It cannot therefore be construed as limiting the scope of the patent.It should be pointed out that coming for those of ordinary skill in the art
It says, without departing from the inventive concept of the premise, various modifications and improvements can be made, these belong to protection of the invention
Range.Therefore, the scope of protection of the patent of the invention shall be subject to the appended claims.
Claims (2)
1. a kind of teleportation method based on four bit Cluster State of unknown parameter characterized by comprising
Step 1, channel prepare, and terminal user Alice and terminal user Bob are communicating pair, and particle a and particle b carry unknown
Quantum state is held by the terminal user Alice, and unknown two particle states form isScheduling of resource side of network center prepares the identical four bits Cluster State of multiple groups |
C4>1234、|C4>1'2'3'4'、|C4>=a0|0000>+b0|0011>+c0|1100>-d0|1111>
As quantum entanglement channel, wherein parameter a0,b0,c0,d0It is unknown, wherein the terminal user Alice possesses particle 1 and particle
3, remaining returns the terminal user Bob all；
Step 2, matching measurement, the terminal user Alice execute the measurement of Bell base to (b, 3) to (a, 1) and particle to particle,
And measurement result is announced, quantized system has following form at this time:
The terminal user Bob is available various forms of according to the measurement result of the terminal user AliceIt
Bob is by acquisition afterwardsWith one group of four bit Cluster State of unknown parameter | C4>1'2'3'4'The measurement of Bell base is executed, is surveyed according to Bell
Amount is as a result, available various forms of
Specifically, the terminal user Bob is obtained according to the measurement result of AliceForm have 16 kinds of situations, when Bob is neglected
When omiting partial operation, according to the parametric form of measurement result, 4 classes can be divided into, Bob will laterWith one group of unknown parameter four
Bit Cluster State | C4>1'2'3'4'After executing the measurement of Bell base, obtainForm have 256 kinds of possibility, when Bob ignores I, Z,
When the partial operations such as XZ, X, according to the parametric form of measurement result, 16 classes can be divided into altogether, specific as follows:
It can be seen that working as from above-mentioned expression formulaForm beWhen, at this timeParameter shape
With square in formula, this form will be unable to realize that the teleportation of four bit Cluster State of unknown parameter needs to be picked
It removes.The terminal user Bob prepares match channels according to other measurement results, and Bob is compared using the multiple groups unknown parameter four possessed
Match group merges progress Bell measurement to special Cluster State two-by-two, finds and measurement result beforeIt is identical or equivalent combinations
Channel；With wherein two groups of unknown parameter Cluster statesIt illustrates: the terminal user Bob
To particle to (B1,A2) and particle to (D1,C2) measurement of Bell base is executed, and to particle A1With particle C1Execute corresponding positive behaviour
Make, after positive operation, obtain four kinds it is various forms of
It can be seen that working as from above-mentioned expression formulaForm be | C1> when, at this timeParametric form in band
Have square, this form will be unable to realize that the teleportation of four bit Cluster State of unknown parameter needs to be rejected；WhenForm be | C2When >, at this timeParametric form withMatch；WhenForm be | C3When >, at this timeParametric form withMatch；WhenForm be | C4When >, at this timeParametric form withMatch.
Step 3 restores unknown quantum state, and the terminal user Bob can successfully prepare diversified forms after completing matching measurement
| C >；Terminal user Bob selection withWhat form matched | C > executes Bell and measures and carry out recovery operation, just
It is possible that realizing the teleportation of unknown two particle state.
WithFormFor andForm be | C2>, for example:
Wherein,
User Bob is to particle to (2 ', A1) and particle to (4 ', C1) Bell measurement is executed, it is different according to Bell measurement result, it is right
Particle B2With particle D2Corresponding positive operation is executed, is obtained two different form of
WhenWhen, at this time in the case where Unknown Channel parameter at
Function has restored the unknown two particles quantum state of transmission.
2. the teleportation method according to claim 1 based on four bit Cluster State of unknown parameter, which is characterized in that
" the terminal user Alice executes the measurement of Bell base to (b, 3) to (a, 1) and particle to particle, and announces measurement result；Institute
It states terminal user Bob and corresponding positive behaviour is executed with particle 4 to particle 2 according to the measurement result of the terminal user Alice
Make；" in,
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| CN109951235A (en) * | 2019-01-24 | 2019-06-28 | 西北大学 | The quantum teleportation method of volume subsystem based on Quantum fourier transform |
| CN111147154A (en) * | 2019-12-24 | 2020-05-12 | 北方工业大学 | Multi-unicast network coding method based on quantum repeaters with different dimensions |
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| CN109951235A (en) * | 2019-01-24 | 2019-06-28 | 西北大学 | The quantum teleportation method of volume subsystem based on Quantum fourier transform |
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| CN111147154B (en) * | 2019-12-24 | 2021-03-30 | 北方工业大学 | Multi-unicast network coding method based on quantum repeaters with different dimensions |
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