CN108173647A - Polarization state ambiguity removing method when reconstruct of developing is incomplete - Google Patents
Polarization state ambiguity removing method when reconstruct of developing is incomplete Download PDFInfo
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- CN108173647A CN108173647A CN201711462138.3A CN201711462138A CN108173647A CN 108173647 A CN108173647 A CN 108173647A CN 201711462138 A CN201711462138 A CN 201711462138A CN 108173647 A CN108173647 A CN 108173647A
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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
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- 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
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Abstract
A kind of polarization state ambiguity removing method to develop when reconstructing incomplete, when quantum key distribution system according to BB84 when using the protocol realization of two groups of Non-orthogonal basis sets, the method of the present invention can combine the polarization state evolution ambiguity that the elimination of the step of polarization compensation is reconstructed from the measurement result of quantum communications, and exact historical data is provided for the prediction of real-time polarization state and compensation.
Description
Technical field
The present invention relates to a kind of method that some polarization state history of evolution is determined according to communication data, especially in BB84 etc.
The method that reconstruct of developing in agreement determines that true evolution curve when incomplete from two possible history of evolution.
Background technology
At present, in well known quantum key distribution agreement, BB84 agreements, E91 agreements and the trick state on the two
Etc. agreements coded and decoded using two groups of non-orthogonal bases.For the quantum state of such a two dimension of polarization state, need
It could be chromatographed completely using three groups of non-orthogonal base measurements.When two groups of Non-orthogonal basis sets is used to measure, chromatography just will appear ambiguous
Property, so the result based on chromatography carries out just needing to take during polarization compensation in quantum key distribution systems of the BB84 when agreements
Measure overcomes this ambiguity [patent 201510228202.6].But, from the bit error rate of quantum key distribution and uncertain rate
The quantum state of middle reconstruct be a kind of polarization state by a period of time be approximately it is equal after obtain as a result, so as to reduction history
Polarization state and while predicting current polarization state will appear larger error.Adequately reproduce the song that polarization state changes over time
Line, the method that reconstruct of developing may be used.But close using the quantum of the protocol realization of two groups of Non-orthogonal basis sets according to BB84 etc.
Carry out developing in key dissemination system reconstruct when, equally will appear it is ambiguous as a result, thus can not be based on developing reconstruct carry out it is inclined
Polarization state is predicted and compensation.
Invention content
The purpose of the present invention is eliminate in the quantum key point according to BB84 etc. using the protocol realization of two groups of Non-orthogonal basis sets
The ambiguity of polarization evolution reconstruct is carried out in hair system, determines practical history of evolution, is gone through smoothly to realize to be based on developing
History carries out polarization state prediction and compensation.
The technical scheme is that：
The present invention provides a kind of polarization state ambiguity removing method to develop when reconstructing incomplete, it includes the following steps：
(a) transmitting terminal and receiving terminal carry out quantum communications using two groups of non-orthogonal bases, and polarization state to be compensated is denoted as |
H>；
(b) two groups of bases of system are obtained in current compensation cycle to measure | H>Operator mean value function, be denoted as ρ respectively|H>1
(t)、ρ|H>2(t)；
(c) from ρ|H>1(t) and ρ|H>2(t) the non-orthogonal third group of two groups of bases used in the identical period with system is obtained out
Base measures | H>Operator mean value function, obtain two possible resultsWith
(d) respectively according to two groups of operator mean value functionsWithObtain out two possible time-varying polarization states in the identical period | XA(t)>With | XB(t)
>；
(e) the quantum bit error rate QBER that current compensation cycle eavesdropping detection obtains is recordedp, optionally | XA(t)>Or | XB(t)>
For history of evolution true in aforementioned period, polarization state prediction and compensation are carried out accordingly, the true history of evolution of selection is denoted as |
X(t)>, non-selected time-varying polarization state is denoted as | X ' (t)>；
(f) quantum bit error rate that eavesdropping detection obtains after single compensation before next compensation cycle, note is QBERn, and
The possible time-varying polarization state of new two is obtained by step (b)~(d) | YA(t)>With | YB(t)>；
If (g) QBERnMore than QBERp, then incite somebody to action | X ' (t)>It is determined as true history of evolution, and changes and be denoted as | X (t)>；
Otherwise, | X (t)>It does not change；
(h) compare | YA(t)>With | YB(t)>With it is updated | X (t)>The time of coincidence section functional value registration, such as
Fruit | YA(t)>With | X (t)>Registration is high, then incites somebody to action | YA(t)>It is determined as new history of evolution, and changes and be denoted as | X (t)>, will | YB
(t)>Change and be denoted as | X ' (t)>；If | YB(t)>With | X (t)>Registration is high, then incites somebody to action | YB(t)>It is determined as new history of evolution, and
Change and be denoted as | X (t)>, will | YA(t)>Change and be denoted as | X ' (t)>；
(i) by QBERnChange and be denoted as QBERp, and according to | X (t)>It carries out the polarization state prediction in current compensation cycle and mends
It repays；
(j) step (f) is gone to continue to execute.
Further, in step (b), if ρ|H>1(t) or ρ|H>2(t) failure is obtained, then goes to step (a) and continues to execute.
Further, in step (h), compare | YA(t)>With | YB(t)>With | X (t)>In time of coincidence section [t1, t2] letter
The registration method of numerical value is：Calculate integrationObtain numerical value σA, calculate integrationObtain numerical value σBIf σAMore than σB, then judge | YA(t)>With | X (t)>Registration
Otherwise height judges | YB(t)>With | X (t)>Registration is high.
Further, in step (h), compare | YA(t)>With | YB(t)>With | X (t)>In time of coincidence section [t1, t2] function
The registration method of value is：In [t1, t2] in optionally N number of time instant τ1…τN, calculate summation
Obtain numerical valueCalculate summationObtain numerical valueIfIt is more thanJudgement |
YA(t)>With | X (t)>Registration is high, otherwise judges | YB(t)>With | X (t)>Registration is high.
Further, N >=100.
Beneficial effects of the present invention：
In the present invention, when quantum key distribution system according to BB84 when using the protocol realization of two groups of Non-orthogonal basis sets, this
The method of invention can combine the polarization state that the elimination of the step of polarization compensation is reconstructed from the measurement result of quantum communications and develop
Ambiguity provides exact historical data for the prediction of real-time polarization state and compensation.
Other features and advantages of the present invention will be described in detail in subsequent specific embodiment part.
Specific embodiment
The preferred embodiment of the present invention is described below.Although the preferred implementation side of the present invention is shown in embodiment
Formula, however, it is to be appreciated that may be realized in various forms the present invention without should be limited by embodiments set forth herein.
One quantum key distribution system according to BB84 protocol realizations, the system using two groups of Non-orthogonal basis sets | H>, | V
>}、{|+>, |->Encoding and decoding are carried out, it uses and develops during polarization state prediction and compensation is carried out according to evolution reconstruction result
Polarization state ambiguity removing method when reconstructing incomplete, it includes the following steps：
(a) transmitting terminal and receiving terminal carry out quantum communications, and the polarization state of reconstruct is denoted as | H>；
(b) obtained in current compensation cycle | H><H | and |+><+ | two operators measure | H>Mean function, be denoted as
ρ|H>1(t)、ρ|H>2(t)；If ρ|H>1(t) or ρ|H>2(t) failure is obtained, then goes to step (a) and continues to execute；
(c) according to ρ|H>1 (t) and ρ|H>2(t) obtain out circular polarization base | R>, | L>Contained by operator | R><R | measure | H>
Mean function, obtain two possible resultsWith
(d) respectively according to two groups of operator mean value functionsWithObtain out two possible time-varying polarization states in the identical period | XA(t)>With | XB(t)
>；
(e) the quantum bit error rate QBER that current compensation cycle eavesdropping detection obtains is recordedp, optionally | XA(t)>Or | XB(t)>
For history of evolution true in aforementioned period, polarization state prediction and compensation are carried out accordingly, the true history of evolution of selection is denoted as |
X(t)>, non-selected time-varying polarization state is denoted as | X ' (t)>；
(f) quantum bit error rate that eavesdropping detection obtains after single compensation before next compensation cycle, note is QBERn, and
The possible time-varying polarization state of new two is obtained by step (b)~(d) | YA(t)>With | YB(t)>；
If (g) QBERnMore than QBERp, then incite somebody to action | X ' (t)>It is determined as true history of evolution, and changes and be denoted as | X (t)>；
Otherwise, | X (t)>It does not change；
(h) remember | YA(t)>With | YB(t)>With | X (t)>Time of coincidence section is [- T, 0], every T/ on this time interval
100 take 1 point, totally 100 points {-T+T/100 ..., ti..., 0 }, calculate two summations
WithRespectively obtain numerical valueAnd numerical valueIfIt is more thanThen incite somebody to action | YA
(t)>It is determined as new history of evolution, and changes and be denoted as | X (t)>, will | YB(t)>Change and be denoted as | X ' (t)>, otherwise incite somebody to action | YB(t)>It determines
For new history of evolution, and change and be denoted as | X (t)>, will | YA(t)>Change and be denoted as | X ' (t)>；
(i) by QBERnChange and be denoted as QBERp, and according to | X (t)>It carries out the polarization state prediction in current compensation cycle and mends
It repays.
(j) step (f) is gone to continue to execute.
Various embodiments of the present invention are described above, above description is exemplary, and non-exclusive, and
It is not limited to disclosed each embodiment.In the case of without departing from the scope and spirit of illustrated each embodiment, for this skill
Many modifications and changes will be apparent from for the those of ordinary skill in art field.
Claims (5)
1. a kind of polarization state ambiguity removing method to develop when reconstructing incomplete, it is characterised in that：It includes the following steps：
(a) transmitting terminal and receiving terminal carry out quantum communications using two groups of non-orthogonal bases, and polarization state to be compensated is denoted as | H>；
(b) two groups of bases of system are obtained in current compensation cycle to measure | H>Operator mean value function, be denoted as ρ respectively|H>1(t)、
ρ|H>2(t)；
(c) from ρ|H>1(t) and ρ|H>2(t) the non-orthogonal third group base of the two groups of bases used with system in the identical period is obtained out to survey
Amount | H>Operator mean value function, obtain two possible resultsWith
(d) respectively according to two groups of operator mean value functionsWithObtain out two possible time-varying polarization states in the identical period | XA(t)>With | XB
(t)>；
(e) the quantum bit error rate QBER that current compensation cycle eavesdropping detection obtains is recordedp, optionally | XA(t)>Or | XB(t)>It is preceding
True history of evolution in the period is stated, polarization state prediction and compensation is carried out accordingly, the true history of evolution of selection is denoted as | X (t)
>, non-selected time-varying polarization state is denoted as | X ' (t)>；
(f) quantum bit error rate that eavesdropping detection obtains after single compensation before next compensation cycle, note is QBERn, and by step
(b)~(d) obtains the possible time-varying polarization state of new two | YA(t)>With | YB(t)>；
If (g) QBERnMore than QBERp, then incite somebody to action | X ' (t)>It is determined as true history of evolution, and changes and be denoted as | X (t)>；Otherwise,
|X(t)>It does not change；
(h) compare | YA(t)>With | YB(t)>With it is updated | X (t)>In the registration of the functional value of time of coincidence section, if |
YA(t)>With | X (t)>Registration is high, then incites somebody to action | YA(t)>It is determined as new history of evolution, and changes and be denoted as | X (t)>, will | YB(t)>
Change and be denoted as | X ' (t)>；If | YB(t)>With | X (t)>Registration is high, then incites somebody to action | YB(t)>It is determined as new history of evolution, and changes note
For | X (t)>, will | YA(t)>Change and be denoted as | X ' (t)>；
(i) by QBERnChange and be denoted as QBERp, and according to | X (t)>Carry out polarization state prediction and the compensation in current compensation cycle；
(j) step (f) is gone to continue to execute.
2. the polarization state ambiguity removing method according to claim 1 to develop when reconstructing incomplete, it is characterised in that：Step
Suddenly in (b), if ρ|H>1(t) or ρ|H>2(t) failure is obtained, then goes to step (a) and continues to execute.
3. the polarization state ambiguity removing method according to claim 1 to develop when reconstructing incomplete, it is characterised in that：Step
Suddenly in (h), compare | YA(t)>With | YB(t)>With | X (t)>In time of coincidence section [t1, t2] the registration method of functional value be：
Calculate integrationObtain numerical value σA, calculate integration
To numerical value σBIf σAMore than σB, then judge | YA(t)>With | X (t)>Registration is high, otherwise judges | YB(t)>With | X (t)>It overlaps
Degree is high.
4. the polarization state ambiguity removing method according to claim 1 to develop when reconstructing incomplete, it is characterised in that：Step
Suddenly in (h), compare | YA(t)>With | YB(t)>With | X (t)>In time of coincidence section [t1, t2] the registration method of functional value be：
In [t1, t2] in optionally N number of time instant τ1…τN, calculate summationObtain numerical value
Calculate summationObtain numerical valueIfIt is more thanJudgement | YA(t)>With | X
(t)>Registration is high, otherwise judges | YB(t)>With | X (t)>Registration is high.
5. the polarization state ambiguity removing method according to claim 4 to develop when reconstructing incomplete, it is characterised in that；N≥100.
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| CN111082938A (en) * | 2020-03-25 | 2020-04-28 | 北京中创为南京量子通信技术有限公司 | Method and device for improving quantum key distribution system code rate |
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