CN109889338A - Quantum encryption method based on chaos sequence - Google Patents
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- CN109889338A CN109889338A CN201910323194.1A CN201910323194A CN109889338A CN 109889338 A CN109889338 A CN 109889338A CN 201910323194 A CN201910323194 A CN 201910323194A CN 109889338 A CN109889338 A CN 109889338A
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Abstract
The invention discloses a kind of quantum encryption methods based on chaos sequence.A kind of quantum encryption method based on chaos sequence of the present invention, comprising: can produce sufficiently long binary sequence by the way that the chaos sequence under chaos state is carried out quantization judgement, be used as the key information of quantum noise encryption system, quantization decision function is as follows:Using chaos sequence, as long as sender and recipient share 3 key parameters: the number of iterations, logistic map coefficient and chaos sequence length can voluntarily generate matched keying sequence.Beneficial effects of the present invention: compared with traditional quantum encryption system, the present invention considers be cracked risk and the safe transmission difficulty of long keying sequence, long chaos sequence is generated as the keying sequence of quantum cryptography system using chaotic function, the safety decoding of information can be realized in the key parameter that chaotic function need to only be shared between legal transmitting-receiving side in this way.
Description
Technical field
The present invention relates to quantum cryptography fields, and in particular to a kind of quantum encryption method based on chaos sequence.
Background technique
With being continuously increased for network application, network security problem becomes to become increasingly conspicuous.Be based on single photon quantum key
The encryption technology of distribution is compared, and the encryption in physical layer technology based on quantum noise is more suitable for long range high-capacity optical fiber communication system
System.
Quantum noise encryption technology (QSC:Y-00quantum stream cipher) is by low-order-modulated signal and substrate
Combined signal is modulated to higher order signal, the characteristics of using higher order signal to noise-sensitive, low order signal is successfully hidden in and is made an uproar
In sound.
There are following technical problems for traditional technology:
The challenge of quantum noise encryption technology is that the decoding of signal is hidden in the generation of more level electrical signals and high order modulation.
The fast development of high precision digital-to-analog converter is benefited from, the generation of more level electrical signals is no longer a technical problem.And how
The difficult point that original low-order-modulated signal is the technology is successfully recovered from high order modulation pseudo noise signal.In addition, how to amount
Long keying sequence in sub- noise-encryption system carries out safe transmission, and reducing the risk that is cracked is that the technology is further practical
Premise.
Summary of the invention
The technical problem to be solved in the present invention is to provide a kind of quantum encryption methods based on chaos sequence, it is contemplated that quantum
Be cracked risk and the safe transmission difficulty of long keying sequence in noise-encryption system, the present invention propose and simulating, verifying one
Quantum cryptography system based on chaos sequence.Compared with traditional quantum encryption system, this method generates long using chaotic function
Chaos sequence realizes the peace of clear text signal under Low SNR as the keying sequence and basal signal of quantum cryptography system
Full decoder enhances the practicability and encryption performance of traditional quantum noise-encryption system.
In order to solve the above-mentioned technical problems, the present invention provides a kind of quantum encryption methods based on chaos sequence, comprising:
It can produce sufficiently long binary sequence, the amount of being used as by the way that the chaos sequence under chaos state is carried out quantization judgement
The key information of sub- noise-encryption system, quantization decision function are as follows:
Using chaos sequence, as long as sender and recipient share 3 key parameters: the number of iterations, logistic map
Coefficient and chaos sequence length can voluntarily generate matched keying sequence.
A kind of computer equipment can be run on a memory and on a processor including memory, processor and storage
The step of computer program, the processor realizes any one the method when executing described program.
A kind of computer readable storage medium, is stored thereon with computer program, realization when which is executed by processor
The step of any one the method.
A kind of processor, the processor is for running program, wherein described program executes described in any item when running
Method.
Beneficial effects of the present invention:
The system can be used for carrying out encryption in physical layer to large capacity long-distance optical fiber communication system, promote communication system security
Property.Compared with traditional quantum encryption system, the present invention considers be cracked risk and the safe transmission difficulty of long keying sequence, benefit
Keying sequence of the chaos sequence as quantum cryptography system that length is generated with chaotic function, so only need to be between legal transmitting-receiving side
The safety decoding of information can be realized in the key parameter of shared chaotic function.In order to further enhance the practicability of system and add
The chaos sequence a part for being used for keying sequence is used as encryption system basal signal by close performance, the present invention, is promoted and is hidden signal
Decoding performance, realize the safety decoding of clear text signal under Low SNR.
Detailed description of the invention
Fig. 1 is the quantum noise encryption technology schematic diagram in the quantum encryption method the present invention is based on chaos sequence.
Fig. 2 is that the quantum noise encryption QPSK/64QAM principle in the quantum encryption method the present invention is based on chaos sequence is shown
It is intended to.
Fig. 3 (a), (b), (c) and (d) are to be based in traditional quantum encryption method 16-QAM at error code decision threshold respectively,
64-QAM, 256-QAM and 1024-QAM signal constellation (in digital modulation) figure.
Fig. 4 is the chaos sequence under the minor change initial condition in the quantum encryption method the present invention is based on chaos sequence
Column.
Fig. 5 is that the present invention is based on the BER curves of the different modulated signals in chaos sequence quantum encryption method.
Fig. 6 is different modulated signals under the improvement decoding cases in the quantum encryption method the present invention is based on chaos sequence
BER curve.
Fig. 7 (a), (b), (c) and (d) are that decoding feelings are improved in the quantum encryption method the present invention is based on chaos sequence respectively
16-QAM at QPSK signal errors decision threshold under condition, 64-QAM, 256-QAM and 1024-QAM signal constellation (in digital modulation) figure.
Specific embodiment
The present invention will be further explained below with reference to the attached drawings and specific examples, so that those skilled in the art can be with
It more fully understands the present invention and can be practiced, but illustrated embodiment is not as a limitation of the invention.
Quantum noise encryption technology principle
Quantum noise encryption flow based on pseudo- multi-system is as shown in Figure 1.Firstly, by plaintext binary sequence by with it is bright
The key sequence of literary equal length carries out being mapped to low order QAM signal after xor operation.Secondly, the binary system that will be randomly generated
Sequence is integrated as substrate and low order signal, to generate the Higher Order QAM Signals being used for transmission, that is, ciphertext.It is connecing
After receiving cipher-text information, listener-in can only see the QAM signal of high-order, since Higher Order QAM Signals are to noise-sensitive, in noise
In relatively low situation, eavesdropping side can not effectively demodulate high-order QAM ciphertext signal, and it is even more impossible to touch the plaintext by coding
Signal.Legitimate receipt side but can be used key and cleartext information be successfully decoded out from low order QAM signal, to realize information
Safe transmission.
Low order QAM signal hiding is as shown in Figure 2 in the schematic illustration of high-order QAM.Fig. 2 is that QPSK signal hiding exists
Among 64-QAM signal.The signal I that blue constellation point represents in planisphere, Q component is respectively 110,101, wherein I, and the first of Q
Position 1,1 is the result after plaintext and key exclusive or.Ignoring I, in the case of latter two of Q component, the signal encrypted for the first time is
QPSK signal.Meanwhile I, latter two 10,01 substrates being randomly generated of Q component.In receiving end, 64-QAM is being recovered
After first information of signal, by the key sequence of its exclusive or encryption, required cleartext information can be recovered.For
For listener-in, in the case where unknown key low order and higher order modulation formats, cleartext information can not be cracked, be added
Close safety is theoretically proved.
The emulation of quantum noise encryption system and discussion
Traditional quantum encryption system
The present invention simulates a quantum noise encryption system, is modulated to QPSK with the signal sequence after key exclusive or in plain text
Then random substrate I is arranged in signal, Q sequence digit is respectively 1,2,3,4.QPSK signal can be hidden in 16- respectively in this way
In QAM, 64-QAM, 256-QAM and 1024-QAM, in error code decision threshold 3.8 × 10-3Locate planisphere such as Fig. 3 institute of each signal
Show.Compared with analogue system, the kinematic nonlinearity noise of actual fiber communication system components and long distance transmission optical fiber can be into one
Walk the deterioration of acceleration signals quality.When ciphertext format modulation signal is relatively low (such as 16-QAM), in high s/n ratio, eavesdropping
Person can carry out unsuccessful demodulation to ciphertext signal successfully can crack ciphertext and obtain bright under the premise of obtaining key sequence
Literary information.Therefore, the safe transmission of key sequence information is most important.
However, key sequence is consequently increased when the cipher-text information of transmission is excessive.In the too long situation of key sequence,
The safe transmission of key sequence will become the challenge of quantum noise encryption system.Reported document does not consider that cipher key delivery is asked
Topic.
Quantum cryptography system based on chaos sequence:
It is easy to be cracked for long key, it is difficult to safe transmission problem.The present invention is proposed using chaotic signal as quantum
The key of noise-encryption system.Chaos sequence possesses the characteristics of initial value sensitivity and ergodic, when satisfaction (formula 1), passes through
After enough the number of iterations, chaotic function will enter chaos state, and the minor change of initial value can all be brought very big to output
Influence, as shown in Figure 4.N is the number of iterations in formula 1, and μ is logistic map coefficient.
It can produce sufficiently long binary sequence, the amount of being used as by the way that the chaos sequence under chaos state is carried out quantization judgement
The key information of sub- noise-encryption system, quantization decision function are as follows:
Using chaos sequence, as long as sender and recipient share 3 key parameters, the number of iterations, logistic map
Coefficient and chaos sequence length can voluntarily generate matched keying sequence.Based on this scheme, emulation testing different modulating feelings
The error performance of quantum noise encryption system under condition, as shown in Figure 5.In simulations, first by plaintext sequence and based on chaos sequence
Signal sequence after the key sequence exclusive or of column is modulated to QPSK signal.Next setting random substrate I, Q sequence digit difference
It is 1,2,3,4, QPSK signal is hidden in respectively in 16-QAM, 64-QAM, 256-QAM and 1024-QAM in this way.In receiving end,
Key chaos sequence is generated using 3 key parameters of chaotic function, original clear text signal is decoded.
Fig. 5 is the bit error rate (BER) curve of the quantum cryptography system based on chaos sequence in different modulating format.
Wherein, QPSK/16-QAM/64-QAM/256-QAM/1024-QAM signal error rate curve when dotted line is without hiding signal, it is real
Line is the ber curve that decoding obtains QPSK signal when corresponding to QPSK signal hiding.
From fig. 5, it can be seen that signal is deteriorated to the tolerance of noise with the increase of order of modulation.High order modulation signal
Can be just successfully demodulated in high s/n ratio, and in actual fiber communication system, due to photoelectric device, image intensifer and
The noise of fiber channel, higher order signal (such as 256-QAM and 1024-QAM) are extremely difficult to the signal-to-noise ratio of decoding request, therefore can be with
The effectively confidentiality of enhancing signal transmission.However, to the legitimate receipt side of well-known key sequence, when Signal-to-Noise is limited
When, it can not be also correctly decoded acquisition cleartext information, as shown in solid in Fig. 5.Requirement to high order modulation signal high s/n ratio will
Limit the practical application of the system.
In order to enhance the practicability of system, the high s/n ratio requirement demodulated to high order modulation signal is reduced.The present invention proposes
Using key chaos sequence as the prioritization scheme of basal signal.In Fig. 2, basal signal is the binary system sequence being randomly generated
Column, receiving-transmitting sides only increase modulated signal order with it without knowing substrate sequence information, and the signal really to be transmitted is hidden
It is hidden in high order modulation signal.Since chaotic function can produce sufficiently long sequence, a part in chaos sequence can
For with plaintext exclusive or cryptographic operation, other part can be used as the substrate of quantum noise encryption system.Since chaos sequence has
Better randomness complies fully with the requirement of basal signal, and basal signal sequence can not also be known in eavesdropping side.But it is connect to legal
For debit, due to knowing 3 key parameters of chaotic function in advance, it can voluntarily calculate and obtain quantum noise-encryption system
Basal signal sequence, so as to improve decoding accuracy, ber curve is as shown in Figure 6.
From fig. 6 it can be seen that the error performance of the QPSK signal recovered from hiding high order modulation signal is very close
Original QPSK signal, as shown in solid in Fig. 6.In the error code decision threshold 3.8 × 10 of QPSK signal-3Locate the constellation of each signal
Figure is as shown in Figure 7.
In this way, even if it is bright that low-order-modulated signal acquisition can also be successfully decoded in legitimate receipt side under Low SNR
Code information.And for stolen party, with this condition, high order modulation signal can not be demodulated at all, it is even more impossible to decode low-order-modulated
Signal acquisition plain code information.Therefore, this method can further enhance the encryption performance of the sub- encryption system of dosage.
Conclusion
The present invention proposes and simulating, verifying one quantum cryptography system based on chaos sequence, the system can be used for big
Capacity long-distance optical fiber communication system carries out encryption in physical layer, promotes communication system security.With traditional quantum encryption system phase
Than the present invention considers be cracked risk and the safe transmission difficulty of long keying sequence, and long chaos is generated using chaotic function
Sequence need to only share the crucial ginseng of chaotic function as the keying sequence of quantum cryptography system between legal transmitting-receiving side in this way
The safety decoding of information can be realized in number.In order to further enhance the practicability and encryption performance of system, the present invention will be used for close
Chaos sequence a part of code sequence is used as encryption system basal signal, promotes the decoding performance for hiding signal, realizes low letter
The safety of clear text signal than under the conditions of of making an uproar decodes.
Embodiment described above is only to absolutely prove preferred embodiment that is of the invention and being lifted, protection model of the invention
It encloses without being limited thereto.Those skilled in the art's made equivalent substitute or transformation on the basis of the present invention, in the present invention
Protection scope within.Protection scope of the present invention is subject to claims.
Claims (4)
1. a kind of quantum encryption method based on chaos sequence characterized by comprising
It can produce sufficiently long binary sequence by the way that the chaos sequence under chaos state is carried out quantization judgement, be used as quantum and make an uproar
The key information of sound encryption system, quantization decision function are as follows.
Using chaos sequence, as long as sender and recipient share 3 key parameters: the number of iterations, logistic map coefficient
And chaos sequence length can voluntarily generate matched keying sequence.
2. a kind of computer equipment including memory, processor and stores the meter that can be run on a memory and on a processor
Calculation machine program, which is characterized in that the step of processor realizes claim 1 the method when executing described program.
3. a kind of computer readable storage medium, is stored thereon with computer program, which is characterized in that the program is held by processor
The step of claim 1 the method is realized when row.
4. a kind of processor, which is characterized in that the processor is for running program, wherein right of execution when described program is run
Benefit require 1 described in method.
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| CN111342958A (en) * | 2020-02-13 | 2020-06-26 | 北京邮电大学 | Low-bit-error-rate Y-00 quantum noise stream encryption transmission method |
| CN111953473A (en) * | 2020-08-14 | 2020-11-17 | 北京邮电大学 | Signal processing method and device |
| CN112291052A (en) * | 2020-10-19 | 2021-01-29 | 北京邮电大学 | Quantum noise encryption method and system based on QAM |
| CN113225174A (en) * | 2021-06-07 | 2021-08-06 | 苏州大学 | Quantum noise stream encryption system based on one-dimensional chaotic sequence and encoding and decoding method |
| CN113434892A (en) * | 2021-06-01 | 2021-09-24 | 北京理工大学 | Probability shaping method based on chaotic encryption |
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| CN112291052B (en) * | 2020-10-19 | 2022-03-15 | 北京邮电大学 | Quantum noise encryption method and system based on QAM |
| CN113434892A (en) * | 2021-06-01 | 2021-09-24 | 北京理工大学 | Probability shaping method based on chaotic encryption |
| CN113225174A (en) * | 2021-06-07 | 2021-08-06 | 苏州大学 | Quantum noise stream encryption system based on one-dimensional chaotic sequence and encoding and decoding method |
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Application publication date: 20190614 |