CN106685656A - Method for correcting data errors in continuously variable quantum key distribution system based on polarization code - Google Patents
Method for correcting data errors in continuously variable quantum key distribution system based on polarization code 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
- H04L9/0858—Details about key distillation or coding, e.g. reconciliation, error correction, privacy amplification, polarisation coding or phase coding
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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
- H04L9/0819—Key transport or distribution, i.e. key establishment techniques where one party creates or otherwise obtains a secret value, and securely transfers it to the other(s)
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- Computer Security & Cryptography (AREA)
- Computer Networks & Wireless Communication (AREA)
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Abstract
The invention relates to a method for correcting data errors in a continuously variable quantum key distribution system based on polarization code; the method comprises the specific steps of 1, selecting a polarization code of corresponding code rate as a correcting code according to a signal-noise ratio estimated via parameter estimation; 2, coding original data by a receiving end through a generation matrix of the polarization code; 3, correcting errors by a transmitting end through continuous elimination algorithm. The polarization code is used herein as a correcting code, the continuous elimination coding algorithm is utilized, the coding and decoding complexity of the continuously variable quantum key distribution system is reduced greatly, and the method is suitable for increasing coding speed in the continuously variable quantum key distribution system.
Description
Technical field
Polarization code is based on the present invention relates to the field of error correction in continuous variable quantum key distribution system, more particularly to one kind
Continuous variable quantum key distribution system in data error-correcting method.
Background technology
Quantum key distribution is that it is legal that it can be realized closest to one of practical research direction in quantum information science
Communicating pair carries out telecommunication under conditions of being perfectly safe.Quantum key distribution can be divided into discrete variable quantum key
Distribution and the class of continuous variable quantum key distribution two.In continuous variable quantum key distribution system, information is carried on continuous change
In amount, legal communicating pair is also continuous variable by what is obtained after data screening.Current continuous variable quantum key distribution
Negotiation algorithm mainly have three kinds：Symbol negotiation algorithm, Slice negotiation algorithms and multidimensional negotiation algorithm.Continuous variable quantum is close
Error correction in key distribution post processing has three principles：
1. listener-in's information to be intercepted is avoided and reduced by a series of measure to ensure communication safety.
2. retain more useful initial data as far as possible to ensure the reliability of communication.
2. improve and calculate with communication efficiency, quickening coordinated speeds to improve its real-time.
2009, the polarization code proposed by E.Arikan was that the first has determination make, and being proved to can be two
System discrete memoryless channel(DMC) is issued to the error correcting code of shannon limit, and its encoding and decoding complexity is low.The proposition base of polarization code
In the phenomenon of channel-polarization, when the code length N of polarization code gradually increases, its bit error rate can be substantially equal to 0.In continuous variable
In quantum key distribution post processing, using efficient negotiation algorithm, error correction, Ke Yiyong are carried out as error correcting code with reference to polarization code
In the error correction rate for improving continuous variable quantum key distribution system.
The content of the invention
(1) technical problem to be solved
It is an object of the invention to provide the data error-correcting method in a kind of continuous variable quantum key distribution system.
(2) technical scheme
To achieve the above object of the invention, the present invention provides a kind of continuous variable quantum key distribution system based on polarization code
In data error-correcting method, comprise the following steps：
Step 1：The polarization code of the SNR corresponding code checks of selection that Alice is estimated with Bob according to parameter Estimation is used as error correction
Code；
Step 2：Bob completes cataloged procedure and check information is sent into Alice according to the generator matrix of polarization code；
Step 3：Alice is combined one's own data and is completed to decode using polarization code decoding algorithm according to check information
Journey；
Wherein step 1 comprises the following steps that,
Step 1A：The SNR that both sides estimate according to parameter Estimation selects the polarization code of correspondence code check as error correcting code, wherein
The corresponding data of Alice and Bob are the data after being processed by continuous variable quantum key negotiation algorithm before error correction, are remembered respectively
It is y and x；
Step 1B：The code length of polarization code is equal with the data length that Alice and Bob are once decoded, and is designated as N；
Then step 2 comprises the following steps that,
Step 2A：Bob to message vector x encode and is obtained u according to formula u=xG, and wherein G is known polarization code
Generator matrix, and G is inverse (the meeting xGG=x) of itself, G can be by parameterConstruction, wherein N and K difference tables
Show code length and information bit length, A is the K set of information bit position,To freeze the value of bit；
Step 2B：The selection of information bit K is as follows：Channel capacity value is ranked up first is compared, then select channel to hold
Used as information bit, bit is freezed in remaining N-K conduct to K bit larger in amount, and writes down each self-corresponding position.
Step 2C：Bob passes through classical channel and the value that N-K is freezed bit is sent into Alice；
Final step 3 comprises the following steps that,
Step 3A：The position that Alice freezes bit according to known to and the value for freezing bit for receiving, by continuously disappearing
Except decoding algorithm, y decodings are obtained the estimate of u
Step 3B：Alice passes throughGray code obtains the estimate of x
Step 3C：Both sides verify whether decoding result is correct by hash verifications, and decoding result is retained if correct, if
Mistake then gives up this group of data.
(3) beneficial effect
Present invention employs polarization code as the technical scheme of error correcting code, entangled for continuous variable quantum key distribution system
The slow problem of wrong speed, using the error correction method based on polarization code, compared to traditional error correcting code such as LDPC code, polarization code connects
Successive ignition need not be carried out when continuous elimination algorithm is as decoding algorithm, the encoding and decoding complexity of error correction procedure is low, and unlimited
Performance can reach shannon limit in the case of code length, can be used for lifting the decoding rate in continuous variable quantum key distribution system.
Brief description of the drawings
Fig. 1 is to carry out the flow chart of polarization code error correction in continuous variable quantum key distribution system.
Specific embodiment
This example provides the data error-correcting method in a kind of continuous variable quantum key distribution system based on polarization code, bag
Include following process：
Step 1：The polarization code of the SNR corresponding code checks of selection that Alice is estimated with Bob according to parameter Estimation is used as error correction
Yard, detailed process is：The SNR that both sides estimate according to parameter Estimation first selects the polarization code of correspondence code check as error correcting code,
The corresponding data of Alice and Bob are the data after being processed by continuous variable quantum key negotiation algorithm wherein before error correction, point
Y and x is not designated as；Secondly the code length of polarization code is equal with the data length that Alice and Bob are once decoded, and is designated as N；
Step 2：Bob completes cataloged procedure and check information is sent into Alice according to the generator matrix of polarization code, specifically
Process is as follows：Bob to message vector x encode and is obtained u according to formula u=xG, and wherein G is the generation square of known polarization code
Battle array, and G is inverse (the meeting xGG=x) of itself, G can be by parameterConstruction, wherein N and K represent code length respectively
With information bit length, A is the K set of information bit position,To freeze the value of bit；The selection of information bit K is as follows：It is first
First channel capacity value is ranked up and is compared, then K bit larger in selection channel capacity is remaining as information bit
Bit is freezed in N-K conduct, and writes down each self-corresponding position；Last Bob passes through the value that classical channel freezes bit by N-K
It is sent to Alice；
Step 3：Alice is combined one's own data and is completed to decode using polarization code decoding algorithm according to check information
Journey；Next decoding process be described in detail in detail, Alice first freezes the position of bit with the bit that freezes for receiving according to known to
Value, by successive elimination decoding algorithm, y decodings is obtained the estimate of uThe formula of wherein successive elimination decoding algorithm is as follows：
By settingTo avoid freezing the mistake of bit section, the order of i from 1 to N,It is one
Individual decision function, is defined as
WhereinIt is likelihood ratio, computational methods are：W is that posteriority is general
Rate.
Then Alice passes throughGray code obtains the estimate of x
Last both sides verify whether decoding result is correct by hash verifications, decoding result are retained if correct, if wrong
Mistake then gives up this group of data.
The flow that polarization code error correction is carried out in whole continuous variable quantum key distribution system is as shown in Figure 1.
The invention is not limited in examples detailed above, every any type of deformation made within the scope of the claims or
Modification, belongs to protection scope of the present invention.
Claims (4)
1. the data error-correcting method in a kind of continuous variable quantum key distribution system based on polarization code, comprises the following steps：
Step 1：Signal to noise ratio (SNR) the selection correspondence code that transmitting terminal (Alice) and receiving terminal (Bob) are estimated according to parameter Estimation
The polarization code of rate is used as error correcting code；
Step 2：Bob completes cataloged procedure and check information is sent into Alice according to the generator matrix of polarization code；
Step 3：Alice combines one's own data and completes decoding process using polarization code decoding algorithm according to check information.
It is 2. according to claim 1 to carry out the method for polarization code error correction in the post processing of continuous variable quantum key distribution,
Step 1 is comprised the following steps that：
Step 1A：The polarization code of the SNR selection correspondence code checks that both sides estimate according to parameter Estimation is used as error correcting code, wherein error correction
The corresponding data of preceding Alice and Bob are the data after being processed by continuous variable quantum key negotiation algorithm, and y is designated as respectively
And x；
Step 1B：The code length of polarization code is equal with the data length that Alice and Bob are once decoded, and is designated as N.
It is 3. according to claim 1 to carry out the method for polarization code error correction in the post processing of continuous variable quantum key distribution,
Step 2 comprises the following steps that,
Step 2A：Bob to message vector x encode and is obtained u according to formula u=xG, and wherein G is the generation of known polarization code
Matrix, and G is inverse (the meeting xGG=x) of itself, G can be by parameterConstruction, wherein N and K represent code respectively
Long and information bit length, A is the K set of information bit position,To freeze the value of bit；
Step 2B：The selection of information bit K is as follows：Channel capacity value is ranked up first is compared, then in selection channel capacity
Used as information bit, bit is freezed in remaining N-K conduct to K larger bit, and writes down each self-corresponding position.
Step 2C：Bob passes through classical channel and the value that N-K is freezed bit is sent into Alice.
It is 4. according to claim 1 to carry out the method for polarization code error correction in the post processing of continuous variable quantum key distribution,
Step 3 is comprised the following steps that
Step 3A：The position that Alice freezes bit according to known to and the value for freezing bit for receiving, are translated by successive elimination
Code algorithm, y decodings are obtained the estimate of u
Step 3B：Alice passes throughGray code obtains the estimate of x
Step 3C：Both sides verify whether decoding result is correct by hash verifications, decoding result are retained if correct, if mistake
Then give up this group of data.
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Cited By (17)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107332570A (en) * | 2017-06-06 | 2017-11-07 | 北京理工大学 | The polarization code encoding method of segmentation cascade Hash sequences |
| CN107359987A (en) * | 2017-07-07 | 2017-11-17 | 上海交通大学 | Continuous variable quantum key distribution multidimensional machinery of consultation under finite dimensional effect |
| CN108063649A (en) * | 2017-12-14 | 2018-05-22 | 东南大学 | A kind of polarization code coding method of low time delay low complex degree |
| CN108365953A (en) * | 2018-02-06 | 2018-08-03 | 中南大学 | Adaptive differential phase shift quantum key dissemination system based on deep neural network and its implementation |
| CN108449173A (en) * | 2018-01-25 | 2018-08-24 | 东华大学 | A kind of information reconciliation method in continuous variable quantum key distribution model |
| CN108712232A (en) * | 2018-05-04 | 2018-10-26 | 北京邮电大学 | A kind of multi-code word parallel decoding method in continuous variable quantum key distribution system |
| CN108933643A (en) * | 2017-05-24 | 2018-12-04 | 华为技术有限公司 | Coding and decoding method and device |
| CN108988873A (en) * | 2017-05-31 | 2018-12-11 | 华为技术有限公司 | A kind of Polar code processing method, decoder and terminal |
| CN109428711A (en) * | 2017-08-23 | 2019-03-05 | 科大国盾量子技术股份有限公司 | Initial key correction module and method for quantum key distribution system |
| CN109842486A (en) * | 2017-11-27 | 2019-06-04 | 全球能源互联网研究院有限公司 | Four states of one kind modulation continuous variable quantum key distribution data coordinating method and system |
| CN109921904A (en) * | 2019-04-28 | 2019-06-21 | 哈尔滨工业大学（深圳） | Based on classics-quantum polarisation channel highly effective quantum cryptographic key distribution method and system |
| CN110011792A (en) * | 2019-03-06 | 2019-07-12 | 暨南大学 | Single step quantum key distribution post-processing approach, system, medium and equipment based on polarization code |
| CN111641473A (en) * | 2019-03-01 | 2020-09-08 | 北京大学 | Novel method for shortening polarization code, communication method and system |
| CN111756384A (en) * | 2019-03-28 | 2020-10-09 | 华为技术有限公司 | Decoding method, device and equipment |
| CN109586850B (en) * | 2019-01-24 | 2021-04-27 | 北京邮电大学 | Polarization code-based hierarchical data coordination method for continuous variable quantum key distribution system |
| CN114422081A (en) * | 2021-12-28 | 2022-04-29 | 华南师范大学 | QKD post-processing system and method based on CRC-SCL decoding algorithm |
| CN117134912A (en) * | 2023-10-26 | 2023-11-28 | 中国科学技术大学 | Quantum key distribution system |
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| US11309993B2 (en) | 2017-05-24 | 2022-04-19 | Huawei Technologies Co., Ltd. | Coding and decoding method and apparatus |
| CN108933643B (en) * | 2017-05-24 | 2021-06-15 | 华为技术有限公司 | Coding and decoding method and device |
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