CN112702162B - One-dimensional continuous variable quantum key distribution system based on discrete state and its realization method - Google Patents

One-dimensional continuous variable quantum key distribution system based on discrete state and its realization method Download PDF

Info

Publication number
CN112702162B
CN112702162B CN202011558468.4A CN202011558468A CN112702162B CN 112702162 B CN112702162 B CN 112702162B CN 202011558468 A CN202011558468 A CN 202011558468A CN 112702162 B CN112702162 B CN 112702162B
Authority
CN
China
Prior art keywords
check
quantum
node
variable
bits
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN202011558468.4A
Other languages
Chinese (zh)
Other versions
CN112702162A (en
Inventor
张航
阮新朝
赵微
程泽群
吴琼
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Guoke Blue Shield Beijing Technology Co ltd
Original Assignee
Central South University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Central South University filed Critical Central South University
Priority to CN202011558468.4A priority Critical patent/CN112702162B/en
Publication of CN112702162A publication Critical patent/CN112702162A/en
Application granted granted Critical
Publication of CN112702162B publication Critical patent/CN112702162B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Landscapes

  • Optical Communication System (AREA)

Abstract

The invention discloses a one-dimensional continuous variable quantum key distribution system based on discrete state and a realization method thereof, wherein the system comprises a sending end, a transmission channel and a receiving end, the sending end couples signal light subjected to one-dimensional discrete modulation with a local oscillator and then transmits the coupled signal light to the receiving end through the quantum channel, and the receiving end processes and detects the coupled signal light and the local oscillator and then performs error correction negotiation with the sending end through a classical channel to obtain a final quantum key; the invention simplifies the modulation scheme through one-dimensional discrete modulation, reduces the realization cost and leads the quantum key distribution to be more widely applied in short-distance key transmission.

Description

One-dimensional continuous variable quantum key distribution system based on discrete state and implementation method thereof
Technical Field
The invention belongs to the technical field of quantum key distribution, and particularly relates to a one-dimensional continuous variable quantum key distribution system based on discrete states and an implementation method thereof.
Background
Quantum Key Distribution (QKD) technology is one of the most promising and feasible technologies at present, and has a wide application prospect in quantum physics, and Discrete Variable Quantum Key Distribution (DVQKD) and Continuous Variable Quantum Key Distribution (CVQKD) are two main implementation modes of quantum key distribution technology, and some remarkable achievements are achieved.
The discrete variable quantum key distribution technology is started earlier and has the characteristic of longer safe transmission distance, but the discrete variable quantum key distribution technology adopts single photons as carriers to transmit information, the preparation of a single photon source is difficult, and the existing laboratory adopts pulsed light with the average photon number of 0.1/pulse as the single photon source, so that the safety of the system is reduced because the pulsed light is not real single photons; in addition, the single photon detector has high manufacturing cost, is only suitable for experimental realization and cannot be manufactured and used in large-scale commercialization.
Compared with the discrete variable quantum key distribution technology, the continuous variable quantum key distribution technology has the following advantages: 1. in the experiment, weak coherent light can be used as an information carrier by using a continuous variable quantum key distribution technology, a single photon source does not need to be prepared, a single photon detector with high manufacturing cost is also not needed, and a balanced homodyne detector or a heterodyne detector can be used; 2. the continuous variable quantum key distribution technology can adopt modulation schemes in classical optical communication such as quadrature amplitude modulation, and the experiment complexity is simplified; 3. the continuous variable quantum key distribution technology has higher key rate, so the continuous variable quantum key distribution technology has better application prospect.
There are two main states in continuous variable quantum key distribution, namely, gaussian state and discrete state, and although a higher key rate can be achieved by using gaussian state, in fact, gaussian coherent state is difficult to be completely realized in practical application; compared to the gaussian state, the discrete state has the following advantages: 1. the discrete state is characterized by a small constellation, so that the error correction process is greatly simplified; 2. discrete states can simplify the state preparation process; 3. the use of discrete states may enable high negotiation efficiency at low signal-to-noise ratios.
Disclosure of Invention
The invention aims to provide a one-dimensional continuous variable quantum key distribution system based on an discrete state, which generates a one-dimensional discrete state continuous variable through an electro-optical phase modulator, obtains a phase component detection result at a receiving end by using a homodyne detector, and has the advantages of low implementation cost, simple preparation process of the discrete state of the continuous variable and high efficiency when carrying out error correction negotiation on the discrete state of the continuous variable.
The invention also aims to provide a realization method of the one-dimensional continuous variable quantum key distribution system based on the discrete state, which greatly simplifies the preparation process and the error correction process of the quantum state, improves the negotiation efficiency of the quantum key distribution system at low signal-to-noise ratio and promotes the practicability of the continuous variable quantum key.
The technical scheme adopted by the invention is that the one-dimensional continuous variable quantum key distribution system based on the discrete state comprises a sending end, a transmission channel and a receiving end;
the transmitting end comprises:
a pulsed laser for generating pulsed coherent light;
the optical phase modulator comprises a beam splitter 1, a polarization coupler 1 and an electro-optic phase modulator 1, wherein the beam splitter 1 is used for splitting pulse coherent light into 1% signal light and 99% local oscillator light, sending the local oscillator light to the polarization coupler 1 through a delay optical fiber and sending the signal light to the electro-optic phase modulator 1;
the classical computer PC1 is used for generating a uniform random number signal and sending the random number signal to the electro-optical phase modulator 1 to control the electro-optical phase modulator to perform one-dimensional discrete modulation on signal light;
the adjustable attenuator attenuates the signal light subjected to one-dimensional discrete modulation to a quantum level and sends the signal light to the polarization coupler 1;
the polarization coupler 1 is used for coupling the signal light of the quantum level and the local oscillator light into a quantum signal;
the transmission channel comprises a quantum channel and a classical channel, the polarization coupler 1 transmits quantum signals to a receiving end through the quantum channel, and the classical computer PC1 is connected with the receiving end through the classical channel.
Further, the receiving end includes:
the polarization controller is used for receiving the quantum signals sent by the polarization coupler 1, carrying out polarization compensation on the quantum signals and then sending the quantum signals to the beam splitter 2;
the beam splitter 2 is used for splitting the quantum signals into 1% signal light and 99% local oscillation light, inputting the local oscillation light into the electro-optical phase modulator 2, and inputting the signal light into the polarization coupler 2 through a delay optical fiber;
the electro-optical phase modulator 2 is used for carrying out phase modulation on the local oscillator light to enable the phase difference between the local oscillator light and the signal light to be 0 or pi/2;
the polarization coupler 2 is used for interfering the local oscillation light and the signal light after phase modulation and inputting an interference result into a homodyne detector;
the homodyne detector is used for carrying out homodyne detection on the interference result to obtain a phase component detection result;
and the classical computer PC2 is used for controlling the electro-optical phase modulator 2 to perform phase modulation, acquiring a homodyne detection result, and negotiating with the classical computer PC1 through a classical channel to obtain a quantum key.
Further, the pulse laser adopts a Thorlabs OPG1015 picosecond optical pulse generator, the beam splitter 1 adopts a beam splitter with a port type of 1 × 2, the model of the electro-optical phase modulator 1 is MPZ-LN-10, the adjustable attenuator adopts a polarization-maintaining adjustable laser attenuator with a model of VOA780PM-FC, and the model of the polarization coupler 1 is Thorlabs PBC980 PM-FC.
Further, the beam splitter 2 is a 1 × 2 port type beam splitter, the electro-optical phase modulator 2 is MPZ-LN-10 in model, and the polarization coupler 2 is Thorlabs PBC980PM-FC in model.
The implementation method of the one-dimensional continuous variable quantum key distribution system based on the discrete state comprises the following steps:
s1, separating the pulse coherent light generated by the pulse laser into a main beam and a signal beam by using the beam splitter 1, and transmitting the signal beam to the electro-optic phase modulator 1, generating a random number signal by a classical computer PC1, and inputting the random number signal into the electro-optic phase modulator 1 to control the electro-optic phase modulator to perform one-dimensional discrete modulation on the signal beam, wherein the one-dimensional discrete modulation process is as follows:
s11, generating a uniform random number set {0,1,2, …, N-1} by an FPGA signal generating card contained in a classical computer PC1, and sending the random number set to an electro-optical phase modulator 1;
s12, the electro-optic phase modulator 1 randomly extracts the number k from the set {0,1,2, …, N-1} with the same probability, and modulates the signal light to obtain the discrete quantum state | alpha |k>=|Aei(2k+1)π/N>The N-type discrete quantum states form a set SN,SN={|Aei π/N>,…,|Ae(2k+1)iπ/N>,…,|Ae(2N-1)iπ/N>H, wherein i is an imaginary number and A is an amplitude;
s2, the electro-optic phase modulator 1 will SNThe input adjustable attenuator is used for inputting the signals into the polarization coupler 1 after being attenuated to the quantum level, and the polarization coupler 1 couples the signals and the local oscillator light into quantum signals which are transmitted to the polarization controller through a quantum channel;
s3, the polarization controller carries out polarization compensation on the quantum signals, then the quantum signals are incident to the beam splitter 2 and are separated into 1% signal light and 99% local oscillator light, the local oscillator light is subjected to phase modulation through the electro-optic phase modulator 2, then the local oscillator light is input into the polarization coupler 2 to interfere with the signal light, and the interference light is sent to the homodyne detector to carry out phase component detection;
and S4, the classical computer PC2 acquires the phase component detection result, and performs parameter estimation, error correction, consistency check and security enhancement operations with the classical computer PC1 through a classical channel to obtain a final shared key.
Further, the step 4 comprises the following steps:
s41, the classical computer PC1 and the classical computer PC2 respectively select part of key bits with the same positions from the original keys for public comparison, the quantum error rate is calculated, if the quantum error rate is larger than or equal to a threshold value, the key transmitted at this time is abandoned, and if the quantum error rate is smaller than the threshold value, S42 is carried out;
s42, the classical computer PC1 obtains check bits through coding, the check bits are sent to the classical computer PC2 through a classical channel, the classical computer PC2 mixes the check bits with original key bits and carries out decoding operation to correct error code bits in the original key bits obtained by the classical computer PC 2;
s43, respectively calculating hash values of the key bits after error correction by the classic computer PC1 and the classic computer PC2, if the calculation results of the hash values are the same, successfully correcting the error, reserving the group of key bits and carrying out S44, otherwise, discarding the group of key bits;
and S44, performing security enhancement on the key bits to obtain a final shared key.
Further, the encoding in step 42 includes the following steps:
(1) setting 0 on n-k' check bits, defining a double diagonal matrix for the check matrix according to a DVB-S2 protocol to obtain a check bit address list;
(2) taking 360 information bits as a group, carrying out XOR calculation on the first group of information bit data and the check bit in the first row in the check bit address list correspondingly, carrying out XOR calculation on the second group of information bit data and the check bit in the second row in the check bit address list correspondingly, and obtaining the values of all check bits in the check bit address list in the same way;
said different isOr calculated as follows: { x + (mmod360 × q) } mod (n-k'), where m is a variable indicating the number of information bits, and x is the m +1 st information bit imThe corresponding check bit address, q is the parameter corresponding to the selected code rate;
(3) using formulas
Figure GDA0003247182980000041
Obtain the final parity bit piA 1 is to piAttaching to the information sequence to obtain a coded codeword, piWhere i is a variable indicating the number of check bits, i is 1,2,3, …, n-k' -1.
Further, the decoding in step S42 includes the following steps:
(1) information initialization: the initial probability likelihood ratio information received by the variable node a is L (P)a) The initial information transmitted from the variable node a to the check node b is L(0)(qab)=L(Pa),qabThe external probability information from the variable node a to the check node b;
(2) and processing and updating the check nodes by using the following calculation:
Figure GDA0003247182980000042
where u is the number of iterations, L(u)(rba) For the information, R, passed from check node b to variable node a at the u-th iterationbA is a set of variable nodes connected to check node b except variable node a, c is a set of variable nodes connected to check node b except variable node a, L(u-1)(qcb) The information transmitted to the check node b by the variable node c for the u-1 iteration;
the variable nodes are updated using the following calculation:
Figure GDA0003247182980000043
L(u)(qab) For the information passed from the variable node a to the check node b at the u-th iteration, CaB is a set of check nodes connected to a variable node a except for check node bD is a check node connected to the variable node a except the check node b, L(u)(rda) The information transmitted to the variable node a by the check node d in the u-th iteration is obtained;
and (3) decoding judgment:
Figure GDA0003247182980000051
wherein L is(u)(qa) All information collected for variable node a, CaIs the set of all check nodes connected with the variable node a if L(u)(qa) Is considered to be > 0
Figure GDA0003247182980000052
Otherwise
Figure GDA0003247182980000053
Figure GDA0003247182980000054
A decoded output sequence for variable node a;
and (4) iteration termination: when in use
Figure GDA0003247182980000055
Or stopping iteration when reaching preset iteration times to obtain a code word after decoding judgment, wherein H is a corresponding parity check matrix,
Figure GDA0003247182980000056
t is the transpose of the matrix formed by the decoded sequences obtained by decoding.
The invention has the beneficial effects that: the invention directly uses digital signal modulation to obtain discrete continuous variable, the preparation process is simple and easy to realize high speed, after single phase modulation, the secret information is coded on the phase regular component of quantum state, the receiving end uses homodyne detector to detect it, the invention reduces the realization cost and is easy to popularize, and the invention also carries out error correction negotiation on the key received by the receiving end, thus improving the negotiation efficiency of quantum key.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
In fig. 1: (a) the distribution diagram of the discrete state in the phase space obtained by the invention, and (b) the distribution of the discrete state in the phase space obtained by the traditional method.
Fig. 2 is a system configuration diagram of the present invention.
Fig. 3 is a flow chart of key distribution according to the present invention.
Fig. 4 is a graph comparing the effects of the examples of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 2, the system for distributing a one-dimensional continuous variable quantum key based on a discrete state includes a transmitting end, a transmission channel, and a receiving end, where the transmitting end includes a pulse laser, the pulse laser transmits generated pulse coherent light to a beam splitter 1, the beam splitter 1 splits the pulse coherent light into 1% of original signal light and 99% of original local oscillator light, and transmits the original local oscillator light to a polarization coupler 1 through an adjustable delay optical fiber, the original signal light is input to an electro-optic phase modulator 1, an FPGA signal generation card included in a classical computer PC1 transmits a generated uniform random number signal to the electro-optic phase modulator 1, and controls the electro-optic phase modulator to perform one-dimensional discrete modulation on the original signal light, the phase modulator 1 inputs a one-dimensional discrete modulation result to an adjustable attenuator, the adjustable attenuator attenuates the discrete modulation signal to a quantum level and then inputs to the polarization coupler 1, the polarization coupler 1 couples the signal light and the original local oscillator light into a quantum signal, and the quantum signal is transmitted to a receiving end through a quantum channel.
The receiving end comprises a polarization controller, the polarization controller performs polarization compensation on the received quantum signals and inputs the compensated quantum signals into a beam splitter 2, the beam splitter 2 separates the quantum signals into 1% of signal light and 99% of local oscillator light, the signal light is input into a polarization coupler 2, the local oscillator light is input into an electro-optical phase modulator 2 for phase modulation, so that the phase difference between the local oscillator light and the signal light is 0 or pi/2, the electro-optical phase modulator 2 inputs the modulated local oscillator light into the polarization coupler 2, and the polarization coupler 2 couples the phase modulated local oscillator light and the signal light and then inputs the phase modulated local oscillator light and the signal light into a homodyne detector for homodyne detection to obtain a phase component detection result; the FPGA data acquisition card contained in the classic computer PC2 acquires a phase component detection result, interacts with the classic computer PC1 through a classic channel, and verifies, corrects and enhances secrecy of the phase component detection result to obtain final quantum key data.
The pulse laser adopts a Thorlabs OPG1015 picosecond optical pulse generator, can produce laser pulse less than or equal to 3ps, the frequency is 10GHz, the beam splitter adopts the NS series port type of Agiltron company to be 1 x 2 beam splitter, the working wavelength is 780-1800 nm, the beam splitting ratio in the whole bandwidth is adjustable, the model of the electro-optic phase modulator 1 and the electro-optic phase modulator 2 is MPZ-LN-10, have the characteristics of high extinction ratio (>20dB), low loss (2.5dB), high bandwidth (10GHz), can meet the quantum key communication system of higher speed, reduce the extra loss brought by optical device; the adjustable attenuator adopts a polarization-maintaining adjustable laser attenuator with the model of VOA780 PM-FC; the polarization couplers 1 and 2 are of the type Thorlabs PBC980PM-FC, high extinction ratio (>18dB), low loss (<2 dB); the polarization controller adopts MLC-15-PQH-SM-FA, and the working wavelength is 15-1550 nm; the homodyne detector adopts a Thorlabs PDA435A balanced amplification photoelectric detector, the common mode rejection ratio is more than 20dB, and the bandwidth can reach 350 MHz; the FPGA signal generation card and the FPGA data acquisition card in the PC of the classic computer adopt Xilinx VC707, and the sampling rate can reach 5 GSa/s.
The implementation flow of one-dimensional continuous variable quantum key distribution based on discrete states in this embodiment is shown in fig. 3, and includes the following steps:
s1, preparing a discrete quantum signal;
the beam splitter 1 transmits the pulse coherent light emitted by the pulse laser according to the ratio of 99: 1 is divided into local oscillation light and signal light, the signal light is transmitted to an electro-optical phase modulator 1, an FPGA signal generation card contained in a classic computer PC1 generates a uniform random number signal, the random number signal is input into the electro-optical phase modulator 1 to control the electro-optical phase modulator to discretely modulate the signal light, and the classic computer PC1 controls the electro-optical phase modulator 1 to discretely modulate the signal light as follows:
s11, generating a uniform random number set {0,1,2, …, N-1} by an FPGA signal generating card contained in a classical computer PC1, and sending the random number set to an electro-optical phase modulator 1;
s12, the electro-optic phase modulator 1 randomly extracts a number k from the random number set {0,1,2, …, N-1} with the same probability to obtain a set S of N discrete quantum statesN={|Aeiπ/N>,…,|Ae(2k+1)iπ/N>,…,|Ae(2N-1)iπ/NWhere i is an imaginary number, a is an amplitude, the value of the phase component satisfies (2k +1) pi/N, and the amplitude a is unknown because single-phase modulation is employed and the amplitude component is not modulated;
the distribution of the discrete state obtained by modulation of the electro-optical phase modulator 1 in the phase space is shown in (a) in fig. 1, compared with the distribution of the discrete state in the phase space obtained by the traditional method (shown in (b) in fig. 1), the key information is loaded on the phase of the quantum state in the quantum key transmission process, and the information transmission is irrelevant to the amplitude;
s2, the electro-optical phase modulator 1 inputs the N discrete quantum states into the adjustable attenuator to be attenuated to the quantum level, then inputs the N discrete quantum states into the polarization coupler 1, the local oscillator light obtained by the separation of the beam splitter 1 is transmitted to the polarization coupler 1 through the delay optical fiber, the polarization coupler 1 couples the attenuated signal light and the local oscillator light into a light beam, and the light beam is transmitted to the polarization controller of the receiving end through the quantum channel;
s3, the polarization controller carries out polarization compensation on the received quantum light beam, then the quantum light beam enters the beam splitter 2 to be separated into 1% of signal light and 99% of local oscillator light, the local oscillator light is input into the electro-optic phase modulator 2 to be subjected to phase modulation, the modulation result is input into the polarization coupler 2, the signal light is input into the polarization coupler 2 through a delay optical fiber by the beam splitter 2, and the local oscillator light and the signal light are input into a homodyne detector to be subjected to phase component detection after being interfered by the polarization coupler 2; because one-dimensional single-phase modulation is adopted, the modulation basis and the measurement basis of the sending end and the receiving end are phase basis components, the key screening process can be omitted;
s4, collecting phase component detection result by FPGA data collection card contained in PC2, and carrying out parameter estimation, error correction, consistency check and security enhancement to obtain quantum key data.
As shown in fig. 3, the process of parameter estimation, error correction, consistency check and security enhancement is as follows:
s41, the classical computer PC1 and the classical computer PC2 jointly select part of key bits from the original key for public comparison, the quantum error rate is calculated according to the comparison result, if the quantum error rate is larger than or equal to a threshold value, all the key bits transmitted at this time are abandoned, and if the quantum error rate is smaller than the threshold value, S42 is carried out;
s42, generating check bits by the classical computer PC1, sending the check bits to the classical computer PC2, mixing the check bits with the bits of the local original key by the classical computer PC2, and correcting error code bits in the bits of the local original key by decoding operation;
s43, calculating the hash value of the key bit after error correction by the classic computer PC1 and the classic computer PC2 respectively by using a hash algorithm, if the hash values of the two are the same, successfully correcting the error, reserving the group of key bits and carrying out S44, otherwise, abandoning the group of keys;
and S44, performing information compression, namely privacy enhancement on the key bits to obtain the final shared security key.
As a preferred technical solution, in S42, the process of performing encoding operation using a check code with a code length of 16200 bits and a code rate of 1/3 is as follows:
(1) at n-k' check bits 0, i.e. p0=pi=…=pn-k′-1=0,piWherein i is a variable indicating the number of check bits, i is 1,2,3iFor the ith check digit, defining a double diagonal matrix for different check matrixes according to a DVB-S2 protocol to obtain a check digit address list;
(2) taking 360 information bits as a group, carrying out XOR calculation on the first group of information bit data and all check bits in a first row in a check bit address list correspondingly, carrying out XOR calculation on the second group of information bit data and all check bits in a second row in the check bit address list correspondingly, and obtaining the values of all check bits in the check bit address list in the same way;
the formula of the exclusive or calculation is as follows: { x + (mmod360 × q) } mod (n-k'), where m is a variable indicating the number of information bits, and x is the m +1 st information bit imThe corresponding check bit address, q is the parameter corresponding to the selected code rate;
(3) using formulas
Figure GDA0003247182980000081
Obtain the final parity bit piA 1 is to piAnd attaching the information sequence to obtain a coded code word.
As a preferred technical solution, the process of performing the decoding operation of error correction in step S42 is as follows:
(1) information initialization: the initial probability likelihood ratio information received by the variable node a is L (P)a) The initial information transmitted from the variable node a to the check node b is L(0)(qab)=L(Pa),qabThe external probability information from the variable node a to the check node b;
(2) and (3) processing and updating by the check node:
Figure GDA0003247182980000082
where u is the number of iterations, rbaFor external information from check node b to variable node a, L(u)(rba) For the information, R, passed from check node b to variable node a at the u-th iterationbA is a set of variable nodes connected to check node b except variable node a, c is a set of variable nodes connected to check node b except variable node a, L(u-1)(qcb) The information transmitted to the check node b by the variable node c for the u-1 iteration;
and (3) variable node updating:
Figure GDA0003247182980000083
L(u)(qab) For the information passed from the variable node a to the check node b at the u-th iteration, CaV.b is a set of check nodes connected to variable node a except check node b, d is a set of check nodes connected to variable node a except check node b, L(u)(rda) The information transmitted to the variable node a by the check node d in the u-th iteration is obtained;
and (3) decoding judgment:
Figure GDA0003247182980000091
wherein L is(u)(qa) All information collected for variable node a, CaIs the set of all check nodes connected with the variable node a if L(u)(qa) If > 0, the judgment is regarded as
Figure GDA0003247182980000092
Otherwise
Figure GDA0003247182980000093
A decoded output sequence for variable node a;
(3) and (4) iteration termination: when in use
Figure GDA0003247182980000094
Or stopping iteration when reaching preset iteration times to obtain a code word after decoding judgment, wherein H is a corresponding parity check matrix,
Figure GDA0003247182980000095
t is the transpose of the matrix formed by the decoded sequences obtained by decoding.
In the prior art, discrete modulation needs to be carried out by using an amplitude modulator and a phase modulator to modulate signal light at the same time, the discrete state based on the discrete state one-dimensional modulation technology can obtain discrete states with different phases only by using single-phase modulation, and amplitude components are not modulated, so that a modulation scheme can be simplified, the implementation cost is reduced, the application of the short-distance secret key transmission is wider, the quantum communication can be used for local area network construction when the quantum communication is mature, and the method is more suitable for popularization; the invention also applies the DVB-S2 protocol in 5G communication to the key error correction negotiation, so that the transmission efficiency of the quantum key is improved, and the accuracy is increased.
Examples
A sending end Alice and a receiving end Bob carry out communication initialization on the system, including initialization on an information source, a modem, a detector and a control circuit in the system; alice then phase modulates the weak coherent light from the pulsed laser using electro-optic phase modulator 1 to produce discrete quantum state | αk〉=|Aei(2k+1)π/NObtain a set of discrete quantum states SNThen transmitted to a remote receiving end Bob through a phase sensitive quantum channel, and the receiving end Bob modulates the orthogonal component by using a homodyne detector
Figure GDA0003247182980000096
And (4) carrying out homodyne measurement, and finally obtaining a final security key by both communication parties through error correction and privacy enhancement.
Without loss of generality, the discrete states mainly include two, four and eight states, and the set S is changed according to the type of the discrete states in different phasesNThe relationship between the key rate and the transmission distance of the continuous variable quantum key distribution system in the three types of discrete states is obtained, the performance of the continuous variable quantum key distribution system in the discrete state and the Gaussian state is compared, the comparison result is shown in FIG. 4, it can be known from FIG. 4 that the key rate in the Gaussian state is higher than that in the discrete state when the transmission distance is less than 20km, and the key rate in the discrete state is higher than that in the Gaussian state when the transmission distance is between 20km and 70km, i.e. the application of the discrete state in short-distance key transmission is more extensive.
The above description is only for the preferred embodiment of the present invention, and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention shall fall within the protection scope of the present invention.

Claims (6)

1.基于离散态的一维连续变量量子密钥分发系统的实现方法,其特征在于,包括以下步骤:1. the realization method of the one-dimensional continuous variable quantum key distribution system based on discrete state, is characterized in that, comprises the following steps: S1,使用分束器1将脉冲激光器产生的脉冲相干光分离成1%信号光和99%本振光,并将信号光输送至电光相位调制器1,经典计算机PC1生成随机数信号,并将随机数信号输入电光相位调制器1控制其对信号光进行一维离散调制,所述一维离散调制过程如下:S1, use the beam splitter 1 to separate the pulsed coherent light generated by the pulsed laser into 1% signal light and 99% local oscillator light, and send the signal light to the electro-optical phase modulator 1, the classical computer PC1 generates a random number signal, and The random number signal is input to the electro-optical phase modulator 1 to control it to perform one-dimensional discrete modulation on the signal light. The one-dimensional discrete modulation process is as follows: S11,经典计算机PC1内含的FPGA信号生成卡生成均匀随机数集合{0,1,2,…,N-1},并将随机数集合发送至电光相位调制器1;S11, the FPGA signal generation card included in the classical computer PC1 generates a uniform random number set {0,1,2,...,N-1}, and sends the random number set to the electro-optical phase modulator 1; S12,电光相位调制器1以相同的概率从集合{0,1,2,…,N-1}中随机抽取数字k,对信号光进行调制得到离散量子态|αk>=|Aei(2k+1)π/N>,N类离散量子态组成集合SN,SN={|Aeiπ/N>,…,|Ae(2k+1)iπ/N>,…,|Ae(2N-1)iπ/N>},其中i为虚数,A为幅值;S12, the electro-optic phase modulator 1 randomly extracts a number k from the set {0,1,2,...,N-1} with the same probability, modulates the signal light to obtain a discrete quantum state |α k >= |Ae i( 2k+1)π/N >, N discrete quantum states form a set S N , S N ={|Ae iπ/N >,…,|Ae (2k+1)iπ/N >,…,|Ae (2N -1)iπ/N >}, where i is an imaginary number and A is the amplitude; S2,电光相位调制器1将SN输入可调衰减器,衰减至量子水平后输入偏振耦合器1,偏振耦合器1将其与本振光耦合成量子信号,经过量子信道输送至偏振控制器;S2, the electro-optic phase modulator 1 inputs SN into the adjustable attenuator, and after attenuating to the quantum level, it is input into the polarization coupler 1, and the polarization coupler 1 couples it with the local oscillator light into a quantum signal, which is sent to the polarization controller through the quantum channel ; S3,偏振控制器对量子信号进行偏振补偿,而后入射至分束器2分离成1%信号光和99%本振光,经典计算机PC2控制电光相位调制器2对本振光进行相位调制,使其与信号光的相位差为0或π/2,然后将调制后的本振光输入偏振耦合器2与信号光干涉,将干涉光发送至零差检测器进行相位分量检测;S3, the polarization controller performs polarization compensation on the quantum signal, and then enters the beam splitter 2 to separate it into 1% signal light and 99% local oscillator light, and the classical computer PC2 controls the electro-optic phase modulator 2 to perform phase modulation on the local oscillator light to make it The phase difference with the signal light is 0 or π/2, then the modulated local oscillator light is input into the polarization coupler 2 to interfere with the signal light, and the interference light is sent to the homodyne detector for phase component detection; S4,经典计算机PC2采集相位分量检测结果,并通过经典信道与经典计算机PC1进行参数估计、纠错、一致性校验、保密增强操作,得到最终共享密钥。S4, the classical computer PC2 collects the phase component detection results, and performs parameter estimation, error correction, consistency check, and privacy enhancement operations with the classical computer PC1 through the classical channel to obtain the final shared key. 2.根据权利要求1所述的基于离散态的一维连续变量量子密钥分发系统的实现方法,其特征在于,所述脉冲激光器采用Thorlabs OPG1015皮秒光脉冲发生器,所述分束器1采用端口类型为1×2的分束器,所述电光相位调制器1的型号为MPZ-LN-10,所述可调衰减器采用型号为VOA780PM-FC的保偏可调激光衰减器,所述偏振耦合器1的型号为ThorlabsPBC980PM-FC。2. the realization method of the one-dimensional continuous variable quantum key distribution system based on discrete state according to claim 1, is characterized in that, described pulse laser adopts Thorlabs OPG1015 picosecond light pulse generator, and described beam splitter 1 A beam splitter with a port type of 1×2 is used, the electro-optic phase modulator 1 is MPZ-LN-10, and the adjustable attenuator is a polarization-maintaining adjustable laser attenuator VOA780PM-FC. The model of the polarized coupler 1 is Thorlabs PBC980PM-FC. 3.根据权利要求1所述的基于离散态的一维连续变量量子密钥分发系统的实现方法,其特征在于,所述分束器2采用端口类型为1×2的分束器,所述电光相位调制器2的型号为MPZ-LN-10,所述偏振耦合器2的型号为Thorlabs PBC980PM-FC。3. The method for realizing a discrete state-based one-dimensional continuous variable quantum key distribution system according to claim 1, wherein the beam splitter 2 adopts a beam splitter with a port type of 1×2, and the The model of the electro-optical phase modulator 2 is MPZ-LN-10, and the model of the polarization coupler 2 is Thorlabs PBC980PM-FC. 4.根据权利要求1所述的基于离散态的一维连续变量量子密钥分发系统的实现方法,其特征在于,所述步骤4包括以下步骤:4. the realization method of the one-dimensional continuous variable quantum key distribution system based on discrete state according to claim 1, is characterized in that, described step 4 comprises the following steps: S41,经典计算机PC1和经典计算机PC2分别从原始密钥中挑选部分位置相同的密钥比特进行公开比对,计算量子误码率,若量子误码率≥阈值则舍弃本次传输的密钥,若量子误码率<阈值则进行S42;S41, the classical computer PC1 and the classical computer PC2 respectively select some key bits in the same position from the original key for public comparison, and calculate the quantum bit error rate. If the quantum bit error rate is less than the threshold, go to S42; S42,经典计算机PC1编码获得校验比特,并通过经典信道将校验比特发送至经典计算机PC2,经典计算机PC2将校验比特与原始密钥比特混合,并进行译码运算,以纠正经典计算机PC2获得的原始密钥比特中的误码比特;S42, the classic computer PC1 encodes the check bits to obtain the check bits, and sends the check bits to the classic computer PC2 through the classic channel. The classic computer PC2 mixes the check bits with the original key bits, and performs a decoding operation to correct the classic computer PC2. Error bits in the obtained original key bits; S43,经典计算机PC1和经典计算机PC2分别计算纠错后密钥比特的哈希值,若两者的计算结果相同则纠错成功,保留该组密钥比特并进行S44,否则舍弃该组密钥比特;S43, the classical computer PC1 and the classical computer PC2 respectively calculate the hash value of the key bits after error correction, if the calculation results of the two are the same, the error correction is successful, keep the set of key bits and perform S44, otherwise discard the set of keys bit; S44,对密钥比特进行保密增强获得最终共享密钥。S44, performing security enhancement on the key bits to obtain a final shared key. 5.根据权利要求4所述的基于离散态的一维连续变量量子密钥分发系统的实现方法,其特征在于,所述步骤42中编码包括以下步骤:5. The realization method of the one-dimensional continuous variable quantum key distribution system based on discrete state according to claim 4, is characterized in that, in described step 42, encoding comprises the following steps: (1)在n-k′个校验位上置0,根据DVB-S2协议为校验矩阵定义双对角矩阵,得到校验位地址列表;(1) Set 0 on the n-k' check bits, define a bidiagonal matrix for the check matrix according to the DVB-S2 protocol, and obtain a check bit address list; (2)以360个信息位为一组,将第一组信息位数据与校验位地址列表中第一行的校验位对应进行异或计算,将第二组信息位数据与校验位地址列表中第二行的校验位对应进行异或计算,以此类推获得校验位地址列表中所有检验位的值;(2) Take 360 information bits as a group, perform exclusive OR calculation on the first group of information bit data and the check bit in the first row in the check bit address list, and compare the second group of information bit data with the check bit The check digit of the second row in the address list is XORed correspondingly, and by analogy, the values of all check digits in the check digit address list are obtained; 所述异或计算如下:{x+(mmod360×q)}mod(n-k′),其中m为表示信息位数目的变量,x是第m+1个信息位im对应的校验位地址,q为所选码率对应的参数;The XOR calculation is as follows: {x+(mmod360×q)}mod(nk′), where m is a variable representing the number of information bits, x is the parity bit address corresponding to the m +1th information bit im, q is the parameter corresponding to the selected bit rate; (3)利用公式
Figure FDA0003247182970000021
获得最终的奇偶校验位pi,将pi附到信息序列后得到编码后码字,pi中的i为表示校验位数目的变量,i=1,2,3,...,n-k′-1。
(3) Using the formula
Figure FDA0003247182970000021
Obtain the final parity check bit p i , attach p i to the information sequence to obtain the encoded codeword, i in p i is a variable representing the check bit, i=1, 2, 3,..., nk'-1.
6.根据权利要求4所述的基于离散态的一维连续变量量子密钥分发系统的实现方法,其特征在于,所述步骤S42中译码包括以下步骤:6. The realization method of the one-dimensional continuous variable quantum key distribution system based on discrete state according to claim 4, is characterized in that, in described step S42, decoding comprises the following steps: (1)信息初始化:变量节点a接收的初始概率似然比信息为L(Pa),变量节点a传向校验节点b的初始信息为L(0)(qab)=L(Pa),qab为从变量节点a到校验节点b的外部概率信息;(1) Information initialization: the initial probability-likelihood ratio information received by variable node a is L(P a ), and the initial information transmitted by variable node a to check node b is L (0) (q ab )=L(P a ), q ab is the external probability information from variable node a to check node b; (2)利用如下计算对校验节点进行处理更新:(2) Use the following calculation to process and update the check node:
Figure FDA0003247182970000031
Figure FDA0003247182970000031
其中u为迭代次数,L(u)(rba)为第u次迭代时校验节点b传向变量节点a的信息,Rb\a为除变量节点a外与校验节点b相连的变量节点集合,c为除变量节点a外与校验节点b相连的变量节点,L(u-1)(qcb)为第u-1次迭代时变量节点c传向校验节点b的信息;where u is the number of iterations, L (u) (r ba ) is the information transmitted from the check node b to the variable node a at the uth iteration, and R b \a is the variable connected to the check node b except for the variable node a node set, c is the variable node connected to the check node b except for the variable node a, L (u-1) (q cb ) is the information that the variable node c transmits to the check node b during the u-1th iteration; 使用以下计算对变量节点进行更新:
Figure FDA0003247182970000032
L(u)(qab)为第u次迭代时变量节点a传向校验节点b的信息,Ca\b为除校验节点b外与变量节点a相连的校验节点集合,d为除校验节点b外与变量节点a相连的校验节点,L(u)(rda)为第u次迭代时校验节点d传向变量节点a的信息;
The variable node is updated with the following calculation:
Figure FDA0003247182970000032
L (u) (q ab ) is the information transmitted from variable node a to check node b in the u-th iteration, C a \b is the set of check nodes connected to variable node a except check node b, and d is For the check nodes connected to the variable node a except the check node b, L (u) (r da ) is the information that the check node d transmits to the variable node a during the u-th iteration;
译码判决:
Figure FDA0003247182970000033
其中L(u)(qa)为变量节点a收集到的所有信息,Ca为与变量节点a相连的所有校验节点集合,若L(u)(qa)>0就认为
Figure FDA0003247182970000034
否则
Figure FDA0003247182970000035
Figure FDA0003247182970000036
为变量节点a的译码输出序列;
Decoding decision:
Figure FDA0003247182970000033
Among them, L (u) (q a ) is all the information collected by variable node a, and C a is the set of all check nodes connected to variable node a. If L (u) (q a )>0, it is considered that
Figure FDA0003247182970000034
otherwise
Figure FDA0003247182970000035
Figure FDA0003247182970000036
is the decoding output sequence of variable node a;
(3)迭代终止:当
Figure FDA0003247182970000037
或达到预设的迭代次数时迭代终止,得到译码判决后的码字,其中H为对应的奇偶校验矩阵,
Figure FDA0003247182970000038
为译码得到的译码序列组成的矩阵,T为转置。
(3) Iterative termination: when
Figure FDA0003247182970000037
Or the iteration is terminated when the preset number of iterations is reached, and the codeword after the decoding decision is obtained, where H is the corresponding parity check matrix,
Figure FDA0003247182970000038
is the matrix composed of the decoding sequence obtained by decoding, and T is the transpose.
CN202011558468.4A 2020-12-25 2020-12-25 One-dimensional continuous variable quantum key distribution system based on discrete state and its realization method Active CN112702162B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202011558468.4A CN112702162B (en) 2020-12-25 2020-12-25 One-dimensional continuous variable quantum key distribution system based on discrete state and its realization method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202011558468.4A CN112702162B (en) 2020-12-25 2020-12-25 One-dimensional continuous variable quantum key distribution system based on discrete state and its realization method

Publications (2)

Publication Number Publication Date
CN112702162A CN112702162A (en) 2021-04-23
CN112702162B true CN112702162B (en) 2021-12-17

Family

ID=75510319

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202011558468.4A Active CN112702162B (en) 2020-12-25 2020-12-25 One-dimensional continuous variable quantum key distribution system based on discrete state and its realization method

Country Status (1)

Country Link
CN (1) CN112702162B (en)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115913389B (en) * 2021-09-30 2024-08-16 中国联合网络通信集团有限公司 Quantum network routing method, device and system
CN114221758A (en) * 2021-11-29 2022-03-22 湖南大学 A kind of quantum key sharing system and method of round-trip biphase modulation
CN114531233B (en) * 2021-12-31 2023-06-30 华南师范大学 QKD post-processing system for multi-degree-of-freedom modulation and error correction decoding method

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106707263A (en) * 2017-01-18 2017-05-24 浙江神州量子网络科技有限公司 Quantum radar based on continuous variable and treatment method thereof
CN107453820A (en) * 2017-09-12 2017-12-08 中南大学 Continuous variable quantum key distribution system and implementation method based on independent clock source
CN107947929A (en) * 2017-12-28 2018-04-20 中南大学 Continuous variable quantum key distribution system and implementation method based on k neighbours processing

Family Cites Families (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107070560A (en) * 2017-04-21 2017-08-18 中南大学 The polarization compensation of continuous variable quantum key dispatching system realizes devices and methods therefor
CN107317676B (en) * 2017-04-26 2020-05-22 中南大学 Key distribution method based on quantum graph state
KR102031966B1 (en) * 2017-04-27 2019-10-15 한국과학기술원 Method and Apparatus for Distributing Quantum Secure Key Based on Photon Subtraction of Receiver
KR101833956B1 (en) * 2017-05-19 2018-03-02 한국과학기술원 System for phase compensation in continuous variable quantum key distribution
CN108259166B (en) * 2017-12-28 2020-08-07 中南大学 Continuous variable quantum key distribution system based on SVM processing and its realization method
CN107947930B (en) * 2017-12-29 2020-08-07 中南大学 Continuous variable quantum key distribution modulation compensation system and implementation method thereof

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106707263A (en) * 2017-01-18 2017-05-24 浙江神州量子网络科技有限公司 Quantum radar based on continuous variable and treatment method thereof
CN107453820A (en) * 2017-09-12 2017-12-08 中南大学 Continuous variable quantum key distribution system and implementation method based on independent clock source
CN107947929A (en) * 2017-12-28 2018-04-20 中南大学 Continuous variable quantum key distribution system and implementation method based on k neighbours processing

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
基于量子远程通信的连续变量量子确定性密钥分配协议;宋汉冲等;《物理学报》;20120808(第15期);154206-3-154206-5 *

Also Published As

Publication number Publication date
CN112702162A (en) 2021-04-23

Similar Documents

Publication Publication Date Title
CN112702162B (en) One-dimensional continuous variable quantum key distribution system based on discrete state and its realization method
CN107113169B (en) Permanently secure communications from short-term secure encrypted quantum communications
Zhou et al. Continuous-variable quantum key distribution with rateless reconciliation protocol
Ma et al. Practical decoy state for quantum key distribution
CN112448815B (en) A quantum key distribution device that can be configured with multiple protocols
CN111245606B (en) Discrete modulation continuous variable QKD system and method based on compression state
Rosenberg et al. Practical long-distance quantum key distribution system using decoy levels
CN108650088B (en) Quantum communication device and method comprising at least three parties
Qi Simultaneous classical communication and quantum key distribution using continuous variables
CN113328855B (en) An asynchronous matching method and system for measuring device-independent quantum key distribution
WO2007036012A1 (en) Methods and systems for communicating over a quantum channel
Duplinskiy et al. Quantum-secured data transmission in urban fiber-optics communication lines
CN108964873B (en) Physical layer protection method, system, networking method and network of chaotic optical network
CN109088730B (en) A Circular Differential Phase Shift Quantum Key Distribution Protocol Based on Orbital Angular Momentum
Bian et al. High-rate point-to-multipoint quantum key distribution using coherent states
CN105763313A (en) Chaotic signal dynamic synchronization-based key distribution method and system
Wang et al. Non-Gaussian reconciliation for continuous-variable quantum key distribution
CN112702164B (en) Multi-user double-field QKD network system and method based on orbital angular momentum
CN114520717B (en) Security analysis method of continuous variable quantum key distribution protocol based on optimal bias threshold detection
Zhou et al. Twin-field quantum key distribution with partial phase postselection
CN111541536B (en) Continuous variable quantum key distribution system enhanced by phase sensitive amplification technology
Pirandola et al. Improved composable key rates for CV-QKD
Li et al. Finite-key analysis for coherent one-way quantum key distribution
Teja et al. Quantum cryptography: state-of-art, challenges and future perspectives
Hirota et al. Quantum key distribution with unconditional security for all optical fiber network

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant
TR01 Transfer of patent right

Effective date of registration: 20231017

Address after: Room 415, 4th Floor, Building A1, No. 2 Courtyard of Shaoyaoju, Chaoyang District, Beijing, 100020

Patentee after: Guoke Blue Shield (Beijing) Technology Co.,Ltd.

Address before: 410083 zuojialong, Yuelu Mountain, Yuelu District, Changsha City, Hunan Province

Patentee before: CENTRAL SOUTH University

TR01 Transfer of patent right