CN109842486A - Four states of one kind modulation continuous variable quantum key distribution data coordinating method and system - Google Patents

Four states of one kind modulation continuous variable quantum key distribution data coordinating method and system Download PDF

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Publication number
CN109842486A
CN109842486A CN201711200554.6A CN201711200554A CN109842486A CN 109842486 A CN109842486 A CN 109842486A CN 201711200554 A CN201711200554 A CN 201711200554A CN 109842486 A CN109842486 A CN 109842486A
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China
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key
information
coherent state
balanced homodyne
detector measurement
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Inventor
曾荣
马媛媛
黄秀丽
赵生妹
胡康
钱陈辰
管小娟
周诚
汪晨
李伟伟
邵志鹏
石聪聪
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State Grid Corp of China SGCC
Global Energy Interconnection Research Institute
Nanjing Post and Telecommunication University
State Grid Shanghai Electric Power Co Ltd
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State Grid Corp of China SGCC
Global Energy Interconnection Research Institute
Nanjing Post and Telecommunication University
State Grid Shanghai Electric Power Co Ltd
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Priority to CN201711200554.6A priority Critical patent/CN109842486A/en
Publication of CN109842486A publication Critical patent/CN109842486A/en
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Abstract

The present invention relates to a kind of four states modulation continuous variable quantum key distribution data coordinating method and systems, which comprises key is modulated to coherent state, is sent to receiving end by quantum channel;Measurement result is obtained using balanced homodyne detector, and then obtain the normalization result of coherent state, and determine filter functional value, judge whether to retain every key, if, then freeze information in the position mark of this key, key information section in the key of reservation is sent to transmitting terminal by classical channel;Judge whether quantum channel is safe, will judge that information is sent to receiving end;If judging information for quantum channel safety, the information of freezing of the key information in addition to key information section is sent to transmitting terminal after system Polar code coding;It is decoded through system Polar code, obtains this and freeze the corresponding key information of information, amplify through close property, obtain final security key.Data harmonization efficiency can be improved in the present invention, effectively extraction security key, the degree that can reduce that the device is complicated.

Description

Four states of one kind modulation continuous variable quantum key distribution data coordinating method and system
Technical field
The invention belongs to quantum information science interleaving techniques fields, and in particular to a kind of four states modulation continuous variable quantum is close Key distributes data coordinating method and system.
Background technique
According to quantum-mechanical physical characteristic, quantum key distribution (Quantum key distribution, QKD) agreement The quantum state of throughput subchannel transmission encoded information between the sender and the recipient can establish safety between legitimate user Communication key, and guarantee its safety and the detectability to listener-in from physical mechanism.The theoretical scheme of QKD agreement is all wrapped Containing two parts, first part includes the coding of data, transmission, decoding, it is therefore an objective to shared data is established between two users, Obtain screening key;Second part is to detect whether existing transmission process is safe by bit error rate estimation.If result table Bright transmission process safety, then can be by information post-processing approach, the final key for obtaining safety.With discrete variable quantum key point Hair (DVQKD) agreement carries information difference, continuous variable quantum key distribution using discrete variables such as polarization, the phases of photon It (CVQKD) is a kind of physical quantity using consecutive variations come the quantum key distribution agreement for the key information distributed needed for carrying. Because its Preparation equipment is simple, detection efficient is high, with the advantages such as existing fiber network compatibility is good, become grinding for quantum key distribution Study carefully hot spot.
In continuous variable quantum key distribution agreement, carrier of the different quantum states as information not only can choose, It is also an option that different modulates information modes, most common to have Gaussian modulation and discrete modulation.Theoretical and experiment shows Gauss Though the CVQKD agreement of modulation has the maximum advantage of mutual information, disadvantage is also fairly obvious, i.e., communication distance is far smaller than discrete Variable quantum key distribution agreement.Main cause is the increase with communication distance, and the decline of data harmonization efficiency is rapid.Solution at present Certainly there are two types of thinkings for this problem: one is the better data harmonization algorithm of performance is designed, under the condition that the signal-to-noise ratio is very low Also still there is higher coordinating efficiency;Another kind is using non-gaussian modulation protocol.
2009, Leverrier et al. proposed the coherent state CVQKD agreement of two condition and the modulation of four states, this is non-gaussian One kind of modulation protocol, increases communications distance, but the device is complicated and practical for the linear Noiseless amplifier that uses of the agreement Success rate is far below desired value, therefore is unable to satisfy demand.
Summary of the invention
The present invention provides four states of one kind modulation continuous variable quantum key distribution data coordinating method and system, the purpose is to Based on a kind of four state modulation continuous variable quantum key distribution data coordinating method provided by the invention and system, data association is improved Adjust efficiency, effectively extraction security key, and reduce the device is complicated degree.
The purpose of the present invention is adopt the following technical solutions realization:
A kind of four states modulation continuous variable quantum key distribution data coordinating method, it is improved in that the method For transmitting terminal, comprising:
Key is modulated on the amplitude component and phase component of coherent state by laser, and passes through quantum channel for institute It states coherent state and is sent to receiving end;
Judge that the quantum channel is according to the bit error rate of the key received and the transmitting terminal itself original key No safety, and will judge that information is sent to receiving end;
Receive the key returned from receiving end freezes information;
It obtains and received freezes information corresponding key information on the original key of the transmitting terminal itself;
Freeze information corresponding close property amplification of key information on the original key of the transmitting terminal itself for described, obtains Take final security key.
Preferably, the key received is sent to institute after the coherent state is handled as follows for the receiving end State the key information section of transmitting terminal:
The coherent state received using balanced homodyne detector measurement obtains the balanced homodyne of every key in the key Detector measurement result;
The normalization of the coherent state is obtained according to the balanced homodyne detector measurement result of key every in the key As a result, and determine the coherent state normalization result the value for filtering function;
Judge whether to retain every key in the key according to the value of the filter function of the normalization result of the coherent state, If so, retaining this key, and freeze information in the position mark of this key;
Key information section in the key of reservation is sent to transmitting terminal by classical channel.
Preferably, described according to the judgement of the bit error rate of the key received and the original key of the transmitting terminal itself Whether quantum channel is safe, comprising:
If the bit error rate of the key that the basis receives and its own original key is greater than bit error rate threshold, judge Information is that quantum channel is dangerous;If the bit error rate of the key that the basis receives and its own original key is less than or equal to Bit error rate threshold then judges information for quantum channel safety.
Preferably, the acquisition is received freezes information corresponding key on the original key of the transmitting terminal itself Information, comprising:
Freeze information after reception system Polar code coding, then through freezing position letter described in the decoding acquisition of system Polar code Breath;
Freeze information corresponding key information on the original key of the transmitting terminal itself described in acquisition.
It is further, described through freezing information described in the decoding acquisition of system Polar code, comprising:
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α0>=| α eiπ/4 >;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α1>=| α e3iπ/4 >;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α2>=| α e5iπ/4 >;
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α3>=| α e7iπ/4 >;
Wherein, α is coherent state coefficient.
A kind of four states modulation continuous variable quantum key distribution data coordinating method, it is improved in that the method For receiving end, comprising:
The coherent state received using balanced homodyne detector measurement obtains the balanced homodyne of every key in the key Detector measurement result;
The normalization of the coherent state is obtained according to the balanced homodyne detector measurement result of key every in the key As a result, and determine the coherent state normalization result the value for filtering function;
Judge whether to retain every key in the key according to the value of the filter function of the normalization result of the coherent state, If so, retaining this key, and freeze information in the position mark of this key;
Key information section in the key of reservation is sent to transmitting terminal by classical channel;
If received judge that for quantum channel safety, the key in the key of reservation in addition to key information section is believed for information The information of freezing of breath is sent to transmitting terminal by the classical channel;
By the close property amplification of the key information in the key of the reservation in addition to key information section, final security key is obtained.
Preferably, the normalization result v of the coherent state is determined as the following formula:
In above formula,It is the balanced homodyne detector measurement of every key in the key as a result, g is linear without amplification of making an uproar Device amplification factor.
Preferably, the value P of the filter function of the normalization result of the coherent state is determined as the following formulaacc(v):
Wherein, V be coherent state normalization as a result,It is that everybody is close in the key For the balanced homodyne detector measurement of key as a result, g is linear Noiseless amplifier amplification factor, Δ is customized median.
Preferably, the value of the filter function of the measurement result according to key every in the key judges whether to retain institute State every key in key, comprising:
If in the key filter functional value of m keys be more than or equal to filter function threshold, retain described m it is close Key, and the position mark of m keys freezes information in the key, if in the key m keys filter function Value is less than filter function threshold, then judges next bit key.
Preferably, the key information in the key by reservation in addition to key information section freeze information pass through it is described Classical channel is sent to transmitting terminal, comprising:
Key information in the key of reservation in addition to key information section is freezed into information after system Polar code coding Transmitting terminal is sent to by the classical channel.
Further, the system Polar code coding includes:
If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are positive value in key, Then it is encoded to 1;If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are negative in key Value, then be encoded to 0.
The invention also includes a kind of four states to modulate continuous variable quantum key distribution data harmonization system, and improvements exist In the system is used for transmitting terminal, comprising:
Modulation unit for key to be modulated to the amplitude component and phase component of coherent state by laser, and leads to It crosses quantum channel and the coherent state is sent to receiving end;
First judging unit, for being sentenced according to the bit error rate of key and the transmitting terminal itself the original key received Whether the quantum channel that breaks is safe, and will judge that information is sent to receiving end;
Receiving unit freezes information from the key that receiving end returns for receiving;
First acquisition unit, for obtaining, received to freeze information corresponding on the original key of the transmitting terminal itself Key information;
Second acquisition unit, for freeze information corresponding close on the original key of the transmitting terminal itself by described The close property amplification of key information, obtains final security key.
Preferably, the key received is that the receiving end sends the coherent state after following module is handled To the transmitting terminal key information section:
First obtains module, and the coherent state for being received using balanced homodyne detector measurement is obtained in the key The balanced homodyne detector measurement result of every key;
First determining module, for obtaining institute according to the balanced homodyne detector measurement result of key every in the key State the normalization of coherent state as a result, and determine the coherent state normalization result the value for filtering function;
Judgment module judges whether to retain described close for the value according to the filter function of the normalization result of the coherent state Every key in key if so, retaining this key, and freezes information in the position mark of this key;
Sending module is sent to transmitting terminal by classical channel for key information section in the key by reservation.
Preferably, first judging unit, is used for:
If the bit error rate of the key that the basis receives and its own original key is greater than bit error rate threshold, judge Information is that quantum channel is dangerous;If the bit error rate of the key that the basis receives and its own original key is less than or equal to Bit error rate threshold then judges information for quantum channel safety.
Preferably, the first acquisition unit, comprising:
Decoding module is obtained for receiving the information of freezing after system Polar code encodes, then through the decoding of system Polar code Freeze information described in taking;
Second obtains module, and for obtaining, described to freeze information corresponding on the original key of the transmitting terminal itself Key information.
Further, the decoding module, is used for:
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α0>=| α eiπ/4 >;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α1>=| α e3iπ/4 >;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α2>=| α e5iπ/4 >;
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α3>=| α e7i π/4>;
Wherein, α is coherent state coefficient.
A kind of four states modulation continuous variable quantum key distribution data harmonization system, it is improved in that the system For receiving end, comprising:
Third acquiring unit, the coherent state for being received using balanced homodyne detector measurement, is obtained in the key The balanced homodyne detector measurement result of every key;
First determination unit, for obtaining institute according to the balanced homodyne detector measurement result of key every in the key State the normalization of coherent state as a result, and determine the coherent state normalization result the value for filtering function;
Second judgment unit, the value for the filter function according to the normalization result of the coherent state judge whether to retain institute Every key in key is stated, if so, retaining this key, and freezes information in the position mark of this key;
First transmission unit is sent to transmitting terminal by classical channel for key information section in the key by reservation;
Second transmission unit, it is close by being removed in the key of reservation if judging that information is safe for quantum channel for received The information of freezing of key information outside key message segment is sent to transmitting terminal by the classical channel;
4th acquiring unit, for the close property of the key information in the key of the reservation in addition to key information section to be amplified, Obtain final security key.
Preferably, first determination unit, comprising:
Second determining module, for determining the normalization result v of the coherent state as the following formula:
In above formula,It is the balanced homodyne detector measurement of every key in the key as a result, g is linear without amplification of making an uproar Device amplification factor.
Preferably, first determination unit, comprising:
Third determining module, the value P of the filter function of the normalization result for determining the coherent state as the following formulaace(v):
Wherein, V be coherent state normalization as a result,It is that everybody is close in the key For the balanced homodyne detector measurement of key as a result, g is linear Noiseless amplifier amplification factor, Δ is customized median.
Preferably, the second judgment unit, is used for:
If in the key filter functional value of m keys be more than or equal to filter function threshold, retain described m it is close Key, and the position mark of m keys freezes information in the key, if in the key m keys filter function Value is less than filter function threshold, then judges next bit key.
Preferably, second transmission unit, comprising:
Coding module freezes information through system for the key information in the key by reservation in addition to key information section Transmitting terminal is sent to by the classical channel after Polar code coding.
Further, the coding module, is used for:
If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are positive value in key, Then it is encoded to 1;If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are negative in key Value, then be encoded to 0.
Compared with the immediate prior art, technical solution provided by the invention is had the following beneficial effects:
Key is modulated on coherent state, receiving end is sent to by quantum channel;It is obtained using balanced homodyne detector Measurement result, so obtain coherent state normalization as a result, and determine filter functional value, judge whether to retain every key, if so, Then freeze information in the position mark of this key, key information section in the key of reservation is sent to by classical channel Sending end;Judge whether quantum channel is safe, will judge that information is sent to receiving end;If judging, information is safe for quantum channel, The information of freezing of key information in the key of reservation in addition to key information section is sent to after system Polar code coding Sending end;It is decoded through system Polar code, obtains this and freeze the corresponding key information of information, after the amplification of close property, obtain final peace Full key;
Filter function is applied to four state tune using the physics realization process of the filter linear Noiseless amplifier of functional simulation by the present invention In the coherent state CVQKD agreement of system, the degree that reduces that the device is complicated avoids the difficulty of physics realization, and communications distance is remote, with one Fixed probability extracts key, retains the biggish key of accuracy;And use the reverse data coordinating method based on system Polar code The agreement is analyzed, data harmonization efficiency is improved, effectively extraction security key.
Detailed description of the invention
Fig. 1 is a kind of flow chart of four states modulation continuous variable quantum key distribution data coordinating method of the invention;
Fig. 2 is that a kind of four states modulation continuous variable quantum key distribution data coordinating method of the invention realizes schematic diagram;
Fig. 3 is a kind of four states modulation continuous variable quantum key distribution data coordinating method of the invention in different transmission ranges Under distribution number result figure;
Fig. 4 (a), Fig. 4 (b) are a kind of four states modulation continuous variable quantum key distribution data coordinating method of the invention respectively Distribution number result figure when L is 120km, 140km under different amplification;
Fig. 5 is the schematic diagram of the reverse data coordinating method based on system Polar code in technical solution provided by the invention;
Fig. 6 is reverse data coordinating method based on system Polar code in technical solution provided by the invention in different codes Bit error rate change curve under rate;
Fig. 7 is a kind of structural schematic diagram of four states modulation continuous variable quantum key distribution data harmonization system of the invention.
Specific embodiment
It elaborates with reference to the accompanying drawing to a specific embodiment of the invention.
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in conjunction with the embodiment of the present invention In attached drawing, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described embodiment is A part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, those of ordinary skill in the art All other embodiment obtained without making creative work, shall fall within the protection scope of the present invention.
2009, Leverrier et al. proposed the coherent state CVQKD agreement of two condition and the modulation of four states, they are non-height One kind of this modulation protocol considerably increases communications distance.But the agreement has used linear Noiseless amplifier, due to line Property Noiseless amplifier the device is complicated and practical success rate be far below desired value, therefore the present invention propose it is a kind of with filter functional simulation The physics realization process of linear Noiseless amplifier, applies this method in the coherent state CVQKD agreement of four states modulation, and use Reverse data coordinating method based on system Polar code analyzes the agreement.
In preparing measurement scheme, transmitting terminal Alice will prepare four kinds of coherent states: S={ α eiπ/4,αe3iπ/4,αe5iπ/4,α e7i/π4And generally select one in this four coherent states to be sent to receiving end Bob at random etc..Bob is randomly to reception state Quadrature component measures, and coherent state intensity after quantum channel transmits has certain decaying, and can be superimposed with from quantum and believe The additional noise ε introduced in road.Due to the decaying of channel and the superposition of interchannel noise, it may appear that the erroneous judgement of a part of key, because This, we can simulate application of the linear Noiseless amplifier in the modulation of four states by rear selection.
If by quantum state ρBAfter inputting a linear Noiseless amplifier, it is assumed that amplify successfully, then quantum state can be obtainedAre as follows:
Wherein,Amplify operator without making an uproar to be linear.Then, when input state is coherent state | α eiπ(2k+1)/4>, k ∈ 0,1, When 2,3 }, linear Noiseless amplifier success amplification process be may be expressed as:
It is measured and is defined according to quantum, the quantum ρ received is measured, measurement result β will be obtained with probability P (β):
Wherein | β > it is measurement operator.
If to quantum stateIt measures, measures resultProbabilityFor,
It can be seen that linear Noiseless amplifier is not only exaggerated the quantum state of input, while also changing and obtaining the quantum The probability of measurement result.Selection is after now designing to realize the process.It enablesWherein,For coherent state general formula, v is relevant State normalization as a result, g be linear Noiseless amplifier amplification factor, can obtain
As can be seen that the effect of linear Noiseless amplifier can be by the filter function that selects after oneCome Obtained key is screened to obtain.
However, analysis filter function w (v) is it can be found that due to g > 1, so that the probability of the function, always greater than 1, this is aobvious It cannot so achieve the purpose that garbled data.But it is found that v is bigger, then the probability left is bigger, this is phase with actual conditions Symbol.When the mean value of Gaussian Profile is 0, most of value is all concentrated near 0, so our optional one suitable centre It is worth Δ, the key that absolute value is more than or equal to Δ is fully retained, and the key that absolute value is less than Δ will be with certain probability reservation. If the retained probability of measurement result is Pacc(v), actual filter function Pacc(v) it may be designed as:
Therefore, a kind of four state provided by the invention modulates continuous variable quantum key distribution data coordinating method, such as Fig. 1 institute Show, comprising:
Key is modulated on the amplitude component and phase component of coherent state by transmitting terminal by laser, and is believed by quantum The coherent state is sent to receiving end by road;
The coherent state that receiving end is received using balanced homodyne detector measurement obtains the flat of every key in the key Weigh zero-difference detection device measurement result, obtains the phase according to the balanced homodyne detector measurement result of key every in the key The normalization of dry state as a result, and determine the coherent state normalization result the value for filtering function, according to returning for the coherent state The value of the filter function of one change result judges whether to retain every key in the key, if so, retaining this key, and at this The position mark of position key freezes information, and key information section in the key of reservation is sent to transmitting terminal by classical channel;
Transmitting terminal judges the quantum according to the bit error rate of the key and the original key of the transmitting terminal itself that receive Whether channel is safe, and will judge that information is sent to receiving end;
If receiving end it is received judge information for quantum channel safety, by the key of reservation in addition to key information section The information of freezing of key information is sent to transmitting terminal by the classical channel;
Transmitting terminal receives the information of freezing of the key returned from receiving end, obtains received information of freezing described Corresponding key information on the original key of transmitting terminal itself, to freeze information original close in the transmitting terminal itself by described The corresponding close property amplification of key information, obtains final security key on key;
The close property of the key information in the key of the reservation in addition to key information section is amplified in receiving end, obtains final safety Key.
The normalization result v of the coherent state is determined as the following formula:
In above formula,It is the balanced homodyne detector measurement of every key in the key as a result, g is linear without amplification of making an uproar Device amplification factor.
The value P of the filter function of the normalization result of the coherent state is determined as the following formulaacc(v):
Wherein, V be coherent state normalization as a result,It is that everybody is close in the key For the balanced homodyne detector measurement of key as a result, g is linear Noiseless amplifier amplification factor, Δ is customized median.
The value of the filter function of the measurement result according to key every in the key judges whether to retain the key In every key, comprising:
If in the key filter functional value of m keys be more than or equal to filter function threshold, retain described m it is close Key, and the position mark of m keys freezes information in the key, if in the key m keys filter function Value is less than filter function threshold, then judges next bit key.
The key received is to be sent to the transmission after the coherent state is handled as follows in the receiving end The key information section at end:
The coherent state received using balanced homodyne detector measurement obtains the balanced homodyne of every key in the key Detector measurement result;
The normalization of the coherent state is obtained according to the balanced homodyne detector measurement result of key every in the key As a result, and determine the coherent state normalization result the value for filtering function;
Judge whether to retain every key in the key according to the value of the filter function of the normalization result of the coherent state, If so, retaining this key, and freeze information in the position mark of this key;
Key information section in the key of reservation is sent to transmitting terminal by classical channel.
The bit error rate of key and the original key of the transmitting terminal itself that the basis receives judges that the quantum is believed Whether road is safe, comprising:
If the bit error rate of the key that the basis receives and its own original key is greater than bit error rate threshold, judge Information is that quantum channel is dangerous;If the bit error rate of the key that the basis receives and its own original key is less than or equal to Bit error rate threshold then judges information for quantum channel safety.
The information of freezing of key information in the key by reservation in addition to key information section passes through the classical letter Road is sent to transmitting terminal, comprising:
Key information in the key of reservation in addition to key information section is freezed into information after system Polar code coding Transmitting terminal is sent to by the classical channel.
The system Polar code encodes
If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are positive value in key, Then it is encoded to 1;If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are negative in key Value, then be encoded to 0.
The acquisition is received to freeze information corresponding key information on the original key of the transmitting terminal itself, packet It includes:
Freeze information after reception system Polar code coding, then through freezing position letter described in the decoding acquisition of system Polar code Breath;
Freeze information corresponding key information on the original key of the transmitting terminal itself described in acquisition.
Described decode through system Polar code freezes information described in acquisition, comprising:
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α0>=| α eiπ/4 >;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is α1>=| α e3iπ/4 >;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α2>=| α e5iπ/4 >;
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α3>=| α e7iπ/4 >;
Wherein, α is coherent state coefficient.
Continuous variable quantum key distribution data coordinating method is modulated in order to verify four state of one kind proposed by the invention, with And numerical simulation is now carried out based on the reverse data harmonization performance of system Polar code in technical solution provided by the invention.
Fig. 2 is that a kind of four states of the present invention modulate continuous variable quantum key distribution data coordinating method realization schematic diagram, Fig. 3 Distribution number of the continuous variable quantum key distribution data coordinating method under different transmission ranges is modulated for four states of one kind of the invention Result figure.Four states modulation continuous variable quantum key distribution of the invention emulates the experiment parameter of selection are as follows: coherent state variance VA= 0.108, coherent state factor alpha=0.328, quantum channel noise ε=0.005, transmitance T=10-aL/10, wherein fading channel system Number a=0.2dB/km, L is transmission range, and the sample number selected is 10000;As shown in Figure 3: when transmission range is 100km, The distribution number of each data is not 0 or so, it means that influence of the interchannel noise to quantum state is little, the error code that Bob is received Rate is very low, can directly be coordinated by channel coding to data so that both sides' key agreement.And when transmission range reaches 120km When, the signal that Bob is received just has the value near some 0, actually or we are difficult to judge that original value is just negative at this time, The bit error rate of this part is higher;When transmission range reaches 140km, it can be seen that the value near 0 is more, the error code of Bob It increases therewith.
We will analyze for the case where distance L=120km, L=140km below: Fig. 4 (a) and Fig. 4 (b) is respectively In different amplifications when one kind of the invention four states modulation continuous variable quantum key distribution data coordinating method L is 120km, 140km Distribution number result figure under multiple.The result shows that: when signal decaying is larger, and the bit error rate is caused to increase, the rear application for selecting agreement The probability of the lesser cipher key number of amplitude is effectively reduced, and amplification factor is bigger, the retained probability of the key near 0 is got over Small, the effect of coordination is better.
Fig. 5 is the schematic diagram of the reverse data coordinating method based on system Polar code in technical solution provided by the invention. It is 0 that the key that the transmission of the end Alice is assumed in emulation, which is mean value, and variance is one group of data of V=1.328, and the key at the end Bob is What the key at the end Alice was received by a Gauss noisy channel.Quantum channel is that obedience mean value is 0, variances sigma2=0.005 For gauss of distribution function.Key data size is set in emulation as 1024, the code rate R that system Polar is arranged in emulation is respectively 0.4,0.5 and 0.6, study the coordinating efficiency under the coordinating efficiency and different amplification g under different code rates.
Fig. 6 is the reverse data coordinating method based on system Polar code in technical solution provided by the invention in different codes Bit error rate change curve under rate.As seen from Figure 6, it when one timing of code length, with the increase of Signal to Noise Ratio (SNR), is based on The bit error rate of the discrete modulation data matchmaking protocol of system Polar code is lower and lower, and error-correcting performance is become better and better;And another party Face, when Signal to Noise Ratio (SNR) is identical, based on the bit error rate that code rate is 0.5 system Polar code than using the system that code rate is 0.6 The low an order of magnitude of the error code of Polar code, the bit error rate of system Polar code for being 0.4 based on code rate is also 0.5 to be than code rate It unites the bit error rate also lower an order of magnitude of Polar code.It is thus appreciated that the code rate of Polar code is lower, it is based on system The error correcting capability of Polar code is stronger, and applicable signal-to-noise ratio is lower.
The present invention also provides a kind of four states to modulate continuous variable quantum key distribution data harmonization system, as shown in fig. 7, institute System is stated for transmitting terminal, comprising:
Modulation unit for key to be modulated to the amplitude component and phase component of coherent state by laser, and leads to It crosses quantum channel and the coherent state is sent to receiving end;
First judging unit, for being sentenced according to the bit error rate of key and the transmitting terminal itself the original key received Whether the quantum channel that breaks is safe, and will judge that information is sent to receiving end;
Receiving unit freezes information from the key that receiving end returns for receiving;
First acquisition unit, for obtaining, received to freeze information corresponding on the original key of the transmitting terminal itself Key information;
Second acquisition unit, for freeze information corresponding close on the original key of the transmitting terminal itself by described The close property amplification of key information, obtains final security key.
The key received is that the receiving end sends the coherent state after the respective handling of following module To the transmitting terminal key information section:
First obtains module, and the coherent state for being received using balanced homodyne detector measurement is obtained in the key The balanced homodyne detector measurement result of every key;
First determining module, for obtaining institute according to the balanced homodyne detector measurement result of key every in the key State the normalization of coherent state as a result, and determine the coherent state normalization result the value for filtering function;
Judgment module judges whether to retain described close for the value according to the filter function of the normalization result of the coherent state Every key in key if so, retaining this key, and freezes information in the position mark of this key;
Sending module is sent to transmitting terminal by classical channel for key information section in the key by reservation.
First judging unit, is used for:
If the bit error rate of the key that the basis receives and its own original key is greater than bit error rate threshold, judge Information is that quantum channel is dangerous;If the bit error rate of the key that the basis receives and its own original key is less than or equal to Bit error rate threshold then judges information for quantum channel safety.
The first acquisition unit, comprising:
Decoding module is obtained for receiving the information of freezing after system Polar code encodes, then through the decoding of system Polar code Freeze information described in taking;
Second obtains module, and for obtaining, described to freeze information corresponding on the original key of the transmitting terminal itself Key information.
The decoding module, is used for:
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α0>=| α eiπ/4 >;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α1>=| α e3iπ/4 >;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α2>=| α e5iπ/4 >;
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of m keys, then coherent state is | α3>=| α e7iπ/4 >;
Wherein, α is coherent state coefficient.
A kind of four states modulation continuous variable quantum key distribution data harmonization system, as shown in Fig. 2, the system is for connecing Receiving end, comprising:
Third acquiring unit, the coherent state for being received using balanced homodyne detector measurement, is obtained in the key The balanced homodyne detector measurement result of every key;
First determination unit, for obtaining institute according to the balanced homodyne detector measurement result of key every in the key State the normalization of coherent state as a result, and determine the coherent state normalization result the value for filtering function;
Second judgment unit, the value for the filter function according to the normalization result of the coherent state judge whether to retain institute Every key in key is stated, if so, retaining this key, and freezes information in the position mark of this key;
First transmission unit is sent to transmitting terminal by classical channel for key information section in the key by reservation;
Second transmission unit, it is close by being removed in the key of reservation if judging that information is safe for quantum channel for received The information of freezing of key information outside key message segment is sent to transmitting terminal by the classical channel;
4th acquiring unit, for the close property of the key information in the key of the reservation in addition to key information section to be amplified, Obtain final security key.
First determination unit, comprising:
Second determining module, for determining the normalization result v of the coherent state as the following formula:
In above formula,It is the balanced homodyne detector measurement of every key in the key as a result, g is linear without amplification of making an uproar Device amplification factor.
First determination unit, comprising:
Third determining module, the value P of the filter function of the normalization result for determining the coherent state as the following formulaacc(v):
Wherein, V be coherent state normalization as a result,It is that everybody is close in the key For the balanced homodyne detector measurement of key as a result, g is linear Noiseless amplifier amplification factor, Δ is customized median.
The second judgment unit, is used for:
If in the key filter functional value of m keys be more than or equal to filter function threshold, retain described m it is close Key, and the position mark of m keys freezes information in the key, if in the key m keys filter function Value is less than filter function threshold, then judges next bit key.
Second transmission unit, comprising:
Coding module freezes information through system for the key information in the key by reservation in addition to key information section Transmitting terminal is sent to by the classical channel after Polar code coding.
The coding module, is used for:
If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are positive value in key, Then it is encoded to 1;If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are negative in key Value, then be encoded to 0.
It should be understood by those skilled in the art that, embodiments herein can provide as method, system or computer program Product.Therefore, complete hardware embodiment, complete software embodiment or reality combining software and hardware aspects can be used in the application Apply the form of example.Moreover, it wherein includes the computer of computer usable program code that the application, which can be used in one or more, The computer program implemented in usable storage medium (including but not limited to magnetic disk storage, CD-ROM, optical memory etc.) produces The form of product.
The application is referring to method, the process of equipment (system) and computer program product according to the embodiment of the present application Figure and/or block diagram describe.It should be understood that every one stream in flowchart and/or the block diagram can be realized by computer program instructions The combination of process and/or box in journey and/or box and flowchart and/or the block diagram.It can provide these computer programs Instruct the processor of general purpose computer, special purpose computer, Embedded Processor or other programmable data processing devices to produce A raw machine, so that being generated by the instruction that computer or the processor of other programmable data processing devices execute for real The device for the function of being specified in present one or more flows of the flowchart and/or one or more blocks of the block diagram.
These computer program instructions, which may also be stored in, is able to guide computer or other programmable data processing devices with spy Determine in the computer-readable memory that mode works, so that it includes referring to that instruction stored in the computer readable memory, which generates, Enable the manufacture of device, the command device realize in one box of one or more flows of the flowchart and/or block diagram or The function of being specified in multiple boxes.
These computer program instructions also can be loaded onto a computer or other programmable data processing device, so that counting Series of operation steps are executed on calculation machine or other programmable devices to generate computer implemented processing, thus in computer or The instruction executed on other programmable devices is provided for realizing in one or more flows of the flowchart and/or block diagram one The step of function of being specified in a box or multiple boxes.
Finally it should be noted that: the above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, to the greatest extent Invention is explained in detail referring to above-described embodiment for pipe, it should be understood by those ordinary skilled in the art that: still It can be with modifications or equivalent substitutions are made to specific embodiments of the invention, and without departing from any of spirit and scope of the invention Modification or equivalent replacement, should all cover within the scope of the claims of the present invention.

Claims (22)

1. a kind of four states modulate continuous variable quantum key distribution data coordinating method, which is characterized in that the method is for sending out Sending end, comprising:
Key is modulated on the amplitude component and phase component of coherent state by laser, and passes through quantum channel for the phase Dry state is sent to receiving end;
Judge whether the quantum channel pacifies according to the bit error rate of the key received and the transmitting terminal itself original key Entirely, and it will judge that information is sent to receiving end;
Receive the key returned from receiving end freezes information;
It obtains and received freezes information corresponding key information on the original key of the transmitting terminal itself;
Freeze information corresponding close property amplification of key information on the original key of the transmitting terminal itself for described, obtains most Whole security key.
2. the method as described in claim 1, which is characterized in that the key received is the receiving end to described relevant State is sent to the key information section of the transmitting terminal after being handled as follows:
The coherent state received using balanced homodyne detector measurement obtains the balanced homodyne detection of every key in the key Device measurement result;
According to the balanced homodyne detector measurement result of key every in the key obtain the coherent state normalization as a result, And determine the value of the filter function of the normalization result of the coherent state;
Judge whether to retain every key in the key according to the value of the filter function of the normalization result of the coherent state, if It is then to retain this key, and freeze information in the position mark of this key;
Key information section in the key of reservation is sent to transmitting terminal by classical channel.
3. the method as described in claim 1, which is characterized in that the key and the transmitting terminal itself that the basis receives are former The bit error rate of some keys judges whether the quantum channel is safe, comprising:
If the bit error rate of the key that the basis receives and its own original key is greater than bit error rate threshold, information is judged It is dangerous for quantum channel;If the bit error rate of the key that the basis receives and its own original key is less than or equal to error code Rate threshold value then judges information for quantum channel safety.
4. the method as described in claim 1, which is characterized in that it is described obtain it is received freeze information the transmitting terminal from Corresponding key information on the original key of body, comprising:
Freeze information after reception system Polar code coding, then through freezing information described in the decoding acquisition of system Polar code;
Freeze information corresponding key information on the original key of the transmitting terminal itself described in acquisition.
5. method as claimed in claim 4, which is characterized in that described through freezing position letter described in the decoding acquisition of system Polar code Breath,
Include:
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, m in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of position key, then coherent state is | α0>=| α eiπ/4>;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, m in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of position key, then coherent state is | α1>=| α e3iπ/4>;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, m in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of position key, then coherent state is | α2>=| α e5iπ/4>;
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, m in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of position key, then coherent state is | α3>=| α e7iπ/4>;
Wherein, α is coherent state coefficient.
6. a kind of four states modulate continuous variable quantum key distribution data coordinating method, which is characterized in that the method is for connecing Receiving end, comprising:
The coherent state received using balanced homodyne detector measurement obtains the balanced homodyne detection of every key in the key Device measurement result;
According to the balanced homodyne detector measurement result of key every in the key obtain the coherent state normalization as a result, And determine the value of the filter function of the normalization result of the coherent state;
Judge whether to retain every key in the key according to the value of the filter function of the normalization result of the coherent state, if It is then to retain this key, and freeze information in the position mark of this key;
Key information section in the key of reservation is sent to transmitting terminal by classical channel;
If received judge information for quantum channel safety, by the key information in the key of reservation in addition to key information section Freeze information and transmitting terminal is sent to by the classical channel;
By the close property amplification of the key information in the key of the reservation in addition to key information section, final security key is obtained.
7. method as claimed in claim 6, which is characterized in that determine the normalization result v of the coherent state as the following formula:
In above formula,It is the balanced homodyne detector measurement of every key in the key as a result, g is that linear Noiseless amplifier is put Big multiple.
8. method as claimed in claim 6, which is characterized in that determine the filter letter of the normalization result of the coherent state as the following formula Several value Pacc(v):
Wherein,V be coherent state normalization as a result,It is every key in the key For balanced homodyne detector measurement as a result, g is linear Noiseless amplifier amplification factor, Δ is customized median.
9. method as claimed in claim 6, which is characterized in that the measurement result according to key every in the key The value of filter function judges whether to retain every key in the key, comprising:
If the filter functional value of m keys is more than or equal to filter function threshold in the key, retain the m keys, and The position mark of m keys freezes information in the key, if the filter functional value of m keys is less than in the key Function threshold is filtered, then judges next bit key.
10. method as claimed in claim 6, which is characterized in that close in addition to key information section in the key by reservation The information of freezing of key information is sent to transmitting terminal by the classical channel, comprising:
The information of freezing of key information in the key of reservation in addition to key information section is passed through after system Polar code coding The classics channel is sent to transmitting terminal.
11. method as claimed in claim 10, which is characterized in that the system Polar code, which encodes, includes:
If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are positive value in key, compile Code is 1;If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are negative value in key, It is encoded to 0.
12. a kind of four states modulate continuous variable quantum key distribution data harmonization system, which is characterized in that the system is for sending out Sending end, comprising:
Modulation unit, for key to be modulated to the amplitude component and phase component of coherent state, and throughput by laser The coherent state is sent to receiving end by subchannel;
First judging unit, for judging institute according to the bit error rate of the key and the original key of the transmitting terminal itself that receive It whether safe states quantum channel, and will judge that information is sent to receiving end;
Receiving unit freezes information from the key that receiving end returns for receiving;
First acquisition unit, for obtaining, received to freeze information corresponding close on the original key of the transmitting terminal itself Key information;
Second acquisition unit, for believing the information corresponding key on the original key of the transmitting terminal itself that freezes Close property amplification is ceased, final security key is obtained.
13. system as claimed in claim 12, which is characterized in that the key received is the receiving end to the phase Dry state is sent to the key information section of the transmitting terminal after following module is handled:
First obtains module, and the coherent state for being received using balanced homodyne detector measurement obtains in the key everybody The balanced homodyne detector measurement result of key;
First determining module, for obtaining the phase according to the balanced homodyne detector measurement result of key every in the key The normalization of dry state as a result, and determine the coherent state normalization result the value for filtering function;
Judgment module, the value for the filter function according to the normalization result of the coherent state judge whether to retain in the key Every key if so, retaining this key, and freezes information in the position mark of this key;
Sending module is sent to transmitting terminal by classical channel for key information section in the key by reservation.
14. system as claimed in claim 12, which is characterized in that first judging unit is used for:
If the bit error rate of the key that the basis receives and its own original key is greater than bit error rate threshold, information is judged It is dangerous for quantum channel;If the bit error rate of the key that the basis receives and its own original key is less than or equal to error code Rate threshold value then judges information for quantum channel safety.
15. system as claimed in claim 12, which is characterized in that the first acquisition unit, comprising:
Decoding module decodes acquisition institute for receiving the information of freezing after system Polar code encodes, then through system Polar code It states and freezes information;
Second obtains module, described freezes information corresponding key on the original key of the transmitting terminal itself for obtaining Information.
16. system as claimed in claim 15, which is characterized in that the decoding module is used for:
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, m in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of position key, then coherent state is | α0>=| α eiπ/4>;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, m in key It is encoded to 1 on the phase component of the balanced homodyne detector measurement result of position key, then coherent state is | α1>=| α e3iπ/4>;
If being encoded to 0 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, m in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of position key, then coherent state is | α2>=| α e5iπ/4>;
If being encoded to 1 on the amplitude component of the balanced homodyne detector measurement result of m keys in key, m in key It is encoded to 0 on the phase component of the balanced homodyne detector measurement result of position key, then coherent state is | α3>=| α e7iπ/4>;
Wherein, α is coherent state coefficient.
17. a kind of four states modulate continuous variable quantum key distribution data harmonization system, which is characterized in that the system is for connecing Receiving end, comprising:
Third acquiring unit, the coherent state for being received using balanced homodyne detector measurement obtain in the key everybody The balanced homodyne detector measurement result of key;
First determination unit, for obtaining the phase according to the balanced homodyne detector measurement result of key every in the key The normalization of dry state as a result, and determine the coherent state normalization result the value for filtering function;
Second judgment unit judges whether to retain described close for the value according to the filter function of the normalization result of the coherent state Every key in key if so, retaining this key, and freezes information in the position mark of this key;
First transmission unit is sent to transmitting terminal by classical channel for key information section in the key by reservation;
Second transmission unit, if judging that information for quantum channel safety, is believed key is removed in the key of reservation for received The information of freezing of key information outside breath section is sent to transmitting terminal by the classical channel;
4th acquiring unit is obtained for amplifying the close property of the key information in the key of the reservation in addition to key information section Final security key.
18. system as claimed in claim 17, which is characterized in that first determination unit, comprising:
Second determining module, for determining the normalization result v of the coherent state as the following formula:
In above formula,It is the balanced homodyne detector measurement of every key in the key as a result, g is that linear Noiseless amplifier is put Big multiple.
19. system as claimed in claim 17, which is characterized in that first determination unit, comprising:
Third determining module, the value P of the filter function of the normalization result for determining the coherent state as the following formulaacc(v):
Wherein,V be coherent state normalization as a result,It is every key in the key For balanced homodyne detector measurement as a result, g is linear Noiseless amplifier amplification factor, Δ is customized median.
20. system as claimed in claim 17, which is characterized in that the second judgment unit is used for:
If the filter functional value of m keys is more than or equal to filter function threshold in the key, retain the m keys, and The position mark of m keys freezes information in the key, if the filter functional value of m keys is less than in the key Function threshold is filtered, then judges next bit key.
21. system as claimed in claim 17, which is characterized in that second transmission unit, comprising:
Coding module freezes information through system for the key information in the key by reservation in addition to key information section Transmitting terminal is sent to by the classical channel after Polar code coding.
22. system as claimed in claim 21, which is characterized in that the coding module is used for:
If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are positive value in key, compile Code is 1;If the amplitude component or phase component of the balanced homodyne detector measurement result of m keys are negative value in key, It is encoded to 0.
CN201711200554.6A 2017-11-27 2017-11-27 Four states of one kind modulation continuous variable quantum key distribution data coordinating method and system Pending CN109842486A (en)

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