CN116707796A - Device and method for extracting shared random bits of atmosphere turbulence related channels - Google Patents

Device and method for extracting shared random bits of atmosphere turbulence related channels Download PDF

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CN116707796A
CN116707796A CN202310821876.1A CN202310821876A CN116707796A CN 116707796 A CN116707796 A CN 116707796A CN 202310821876 A CN202310821876 A CN 202310821876A CN 116707796 A CN116707796 A CN 116707796A
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array
laser
computer
elements
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CN116707796B (en
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娄岩
赵圣亚
陈纯毅
付强
李英超
李琼
李辉
侯艺浩
秦心怡
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Chongqing Research Institute Of Changchun University Of Technology
Changchun University of Science and Technology
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Chongqing Research Institute Of Changchun University Of Technology
Changchun University of Science and Technology
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
    • H04L9/0816—Key establishment, i.e. cryptographic processes or cryptographic protocols whereby a shared secret becomes available to two or more parties, for subsequent use
    • H04L9/0819—Key transport or distribution, i.e. key establishment techniques where one party creates or otherwise obtains a secret value, and securely transfers it to the other(s)
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/11—Arrangements specific to free-space transmission, i.e. transmission through air or vacuum
    • H04B10/112—Line-of-sight transmission over an extended range
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/50—Transmitters
    • H04B10/501—Structural aspects
    • H04B10/503—Laser transmitters
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L63/00—Network architectures or network communication protocols for network security
    • H04L63/04—Network architectures or network communication protocols for network security for providing a confidential data exchange among entities communicating through data packet networks
    • H04L63/0428—Network architectures or network communication protocols for network security for providing a confidential data exchange among entities communicating through data packet networks wherein the data content is protected, e.g. by encrypting or encapsulating the payload
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02A—TECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
    • Y02A90/00—Technologies having an indirect contribution to adaptation to climate change
    • Y02A90/10—Information and communication technologies [ICT] supporting adaptation to climate change, e.g. for weather forecasting or climate simulation

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  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Computer Security & Cryptography (AREA)
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  • Optics & Photonics (AREA)
  • Computer Hardware Design (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Optical Communication System (AREA)

Abstract

The invention relates to a device and a method for extracting shared random bits of an atmospheric turbulence related channel, belonging to the technical field of information security; when the eavesdropping channel is still related to the legal channel in some atmosphere light channel extraction random key scenes, the eavesdropper can extract a key sequence similar to that of the legal party, and the key has a great risk of being broken. The theory of the invention proves the correlation between the eavesdropping channel and the legal channel, the experimental legal party and the eavesdropping party extract the shared random key sequence from the random fading laser signal transmitted by the atmospheric turbulence. The invention makes a certain contribution to perfecting the theoretical security of the random key shared by the atmosphere optical channels.

Description

Device and method for extracting shared random bits of atmosphere turbulence related channels
Technical Field
The invention belongs to the technical field of information security, and particularly relates to a method for respectively extracting random keys by a legal party and an eavesdropping party when the legal channel and the eavesdropping channel have correlation.
Background
Information security has become more and more important in the present era, and in free space laser communication, when symmetric encryption is used to protect confidential information transmission from eavesdropping, a secret key shared by both communication parties is necessary. One chinese patent application No. 202011376004.1 discloses a method for extracting random bits shared by an atmospheric turbulence optical channel. Most of the optical channel extraction random keys are now mutually independent, but in an actual communication scene, due to the influence of factors such as the position of an eavesdropper and the scattering of space light, the eavesdropping channel can still be related to the legal channel under the condition that the distance exceeds half a wavelength. Furthermore, in some scenarios, an eavesdropper has conditions of eavesdropping that are in the vicinity of a legitimate user and not found, thereby reducing the security of the physical layer key and increasing the risk of the key being compromised.
Disclosure of Invention
The technical problems to be solved by the invention are as follows: most of the optical channels extract random keys by assuming that the legal channels and the eavesdropping channels are independent of each other, but in the actual communication scenario, the eavesdropping channels are highly likely to be related to the legal channels. Furthermore, in some scenarios, an eavesdropper has conditions of eavesdropping that are in the vicinity of the legitimate user and are not found. The invention aims to provide a method for respectively extracting random keys by a legal party and an eavesdropper when the legal channel and the eavesdropper have correlation.
In order to achieve the above purpose, the specific technical scheme of the method for extracting the shared random bits of the atmospheric turbulence related channel of the invention is as follows:
the method does not need to consider the problem of whether an eavesdropper is exposed or not, and the theoretical model researches the key sequences respectively extracted by the legal party and the eavesdropper under the condition that the eavesdropping channel is related to the legal channel. As shown in fig. 1, the transceiver optical system a of the transceiver a and the transceiver optical system B of the transceiver B are mutually viewed, and the receiving optical system E of the eavesdropping end E is within the relevant distance of the optical transceiver system B, where the distance is d, and d=10mm. The method ensures that the eavesdropping channel and the legal channel have correlation, and the method utilizes the correlation channel model to extract respective key sequences from legal parties and eavesdroppers respectively.
The regenerated electrical signal at the transceiver node A, B and receiver E can be expressed as:
y A ＝ηI B +ω A ＝ηY B X B +ω A
y B ＝ηI A +ω B ＝ηY A X A +ω B
y E ＝ηI E +ω E ＝ηY E X E +ω E
wherein eta represents the photoelectric conversion coefficient, Y i I epsilon { A, B, E } represents the received-light-intensity irradiance affected by small-scale atmospheric turbulence, xi, I epsilon { A, B, E } represents the received-light-intensity irradiance affected by large-scale atmospheric turbulence, I P ＝Y i X i Representing irradiance of the received light signal. Omega is the power spectral density N 0 /2Additive White Gaussian Noise (AWGN), without loss of generality, assumes that the noise of the two channels is the same. In Secrecy outage analysis over correlated composite Nakagami-m/Gamma fading channels issued by G.C. Alexandropoulos et al in 2018, the correlation caused by large scale vortex turbulence is considered, while small scale atmospheric turbulence fluctuations are independent reality between B and E. The instantaneous signal-to-noise ratio (SNR) between A and x, x ε { B, E }, can be written as The composition of the observed light field at the optical receiver was constructed in one book of pages 108-206 of Numerical Simulations of Physical and Engineering Processes 2011: the first term is U in line-of-sight (LOS) range L The method comprises the steps of carrying out a first treatment on the surface of the The second term is the component that is forward scattered by the light on the propagation axis through atmospheric turbulence and coupled to the upper side of the LOS +.>And third item->The third term is statistically independent of the first two, due to the light intensity energy of off-axis light scattered to the receiver by atmospheric turbulence. The total observed field is written as:
wherein UL andand->Is an independent stable random process; g is subject to E [ G ]]Real variable of gamma distribution of =1; Ω=e [ |u L | 2 ]An average power of the light intensity representing the LOS component; for total scattered average power of lightA representation; phi (phi) A And phi B A phase representing LOS and deterministic coupling to LOS scattering components; delta represents the power factor coupled to LOS scattering, 0.ltoreq.delta.ltoreq.1; u (U) S ' represents a circle Gao Sifu random variable; χ and S represent the logarithmic amplitude and phase disturbances of the field caused by atmospheric turbulence.
Irradiance of a received light signal can be expressed as:wherein the method comprises the steps ofY represents the received-light irradiance affected by small-scale atmospheric turbulence, and X represents the received-light irradiance affected by large-scale atmospheric turbulence.
(1) If the probability density function of I under the influence of the correlation between the legal receiving end B and the eavesdropping end E is not considered, the probability density function is as follows:wherein->
(2) If consider the influence of the correlation between legal receiving terminal B and eavesdropping terminal E P The probability density function of (2) is:
wherein the method comprises the steps ofρ ε [0,1 ] represents the correlation coefficient between the atmospheric turbulence fading channels; ζ=2b 0 (1-delta) average power of the scattered component; omega' is the average power of large scale fluctuations, < >>Alpha represents a natural number related to the effective number in the large scale atmospheric turbulence packet during scattering; beta is a natural number related to the effective number in the small scale atmospheric turbulence packet; Γ (·) is a gamma function; />As a Meijer-G function.
Based on the mathematical theory, the experimental feasibility of the eavesdropper and the legal party to extract the random key under the condition of channel correlation is verified. The invention discloses a method for respectively extracting random keys by a legal party and an eavesdropper when a legal channel and an eavesdropping channel have correlation.
The utility model provides an atmospheric turbulence related channel sharing random bit extraction element, includes laser transceiver A, laser transceiver B and laser receiver E, and laser transceiver A and laser transceiver B are the looks at each other, and laser receiver E is in laser transceiver A's after atmospheric turbulence channel diffuse light beam's entrance pupil within range, and laser receiver E is at laser transceiver B's distance d. The laser transceiver A comprises a laser A, a transceiver optical system A, a detector A and a computer A. The laser transceiver B comprises a laser B, a transceiver optical system B, a detector B and a computer B. The laser receiving end machine E comprises a receiving optical system E, a detector E and a computer E. As shown in fig. 1, a laser signal a01 emitted by a laser a is emitted into an atmospheric turbulence channel through a receiving and transmitting optical system a, and the laser signal a01 reaches a receiving and transmitting optical system B and then is incident on a detector B; the laser signal B01 emitted by the laser B is emitted into an atmospheric turbulence channel through the receiving and transmitting optical system B, and the laser signal B01 reaches the receiving and transmitting optical system A and then is incident on the detector A; the computer A collects the electric signals output by the detector A in real time, and the computer B collects the electric signals output by the detector B in real time; the laser signal A01 emitted by the laser A is emitted into an atmospheric turbulence channel through the receiving optical system A, the laser signal A01 reaches the receiving optical system E and then is incident on the detector E, and the computer E collects the electric signals output by the detector E in real time.
The invention also provides a method for extracting the shared random bits of the atmospheric turbulence related channel, which is divided into six parts:
the first part of the method enables the laser transceiver A, the laser transceiver B and the laser receiver E to work normally, and specifically comprises the following operations:
the laser A and the laser B are enabled to work normally, the detector A, the detector B and the detector E are enabled to work normally, the computer A, the computer B and the computer E are enabled to work normally, the receiving optical system A and the receiving optical system B are aligned to each other and work normally, and the receiving optical system E is located at a position d away from the receiving optical system B and can receive laser signals sent by the laser transceiver A.
The second part of the method performs the following operations in the laser transceiver a:
step1: creating a counter in the acquisition program of the computer a, wherein the counter=1; let time t A =0; creating a one-dimensional array ArrayA containing N elements in a memory of the computer A, wherein the elements of the array ArrayA are used for storing amplitude sampling values of the electric signals output by the detector A; creating a one-dimensional array ArrayAL containing N-1 elements in the memory of the computer A, wherein the elements of the array ArrayAL are used for storing derivative values of amplitude samples of the electric signal output by the detector A; creating a list ListA in the memory of the computer A, wherein the elements of the list ListA are used for storing random bits, and the list ListA is made to be empty; creating a list ListAL in the memory of computer a, the elements of list ListAL being used to store random bits, leaving list ListAL empty; let I A =1; let I AL ＝1；
Step2: at time t A The acquisition program of the computer A performs one-time sampling on the amplitude of the electric signal output by the detector A to obtain a sampling value S001; assigning the CounterA element of the array ArrayA as a sampling value S001;
step3: let coutera = coutera+1; let t A ＝t A +δ t ，δ t Is a sampling time interval;
step4: if CounterA > N, go to Step5, otherwise go to Step2;
step5: calculating an average value S002 of all elements in the array ArrayA; let T A Equal to coefficient c t Product of mean value S002, coefficient c t Is a positive real number and is used for scaling the average value S002;
step6: starting from the 1 st element of the array ArrayA, the following operations are sequentially performed for each element S003 of the array ArrayA: adding a new element EA at the end of list ListA, the new element EA being the I < th > of list ListA A An element; determine whether the value of element S003 is greater than T A If so, list ListA of I A The element is assigned bit 1, otherwise the I-th element of the list ListA A The individual element is assigned a bit of 0; let I A ＝I A +1；
Step7: the J-th element of the array ArrayAL is assigned to the difference between the value of the j+1-th element of the array ArrayA and the value of the J-th element of the array ArrayA divided by δ for j=1, 2, …, N-1, respectively t Results of (2);
step8: calculating an average value S004 of all elements in the array ArrayAL; let T AL Equal to coefficient c tL Product of average value S004, coefficient c tL Is a positive real number and is used for scaling the average value S004;
step9: starting from the 1 st element of the array ArrayAL, the following is done for each element S005 of the array ArrayAL in turn: adding a new element EAL at the end of the list ListAL, the new element EAL being the I-th of the list ListAL AL An element; determine whether the value of element S005 is greater than T AL If so, list ListAL of I AL The element is assigned bit 1, otherwise the list LittAL is assigned I AL The individual element is assigned a bit of 0; let I AL ＝I AL +1；
Step10: the laser transceiver A completes the original shared random bit sequence extraction operation.
The third part of the method performs the following operations in the laser transceiver B:
step1: creating a counter in the acquisition program of the computer B, wherein the counter=1; let time t B =0; creating a one-dimensional array ArrayB containing N elements in a memory of the computer B, wherein the elements of the array ArrayB are used for storing amplitude sampling values of the electric signals output by the detector B; creating a one-dimensional array ArrayBL containing N-1 elements in a memory of the computer B, wherein the elements of the array ArrayBL are used for storing derivative values of amplitude samples of the electric signal output by the detector B; creating a list ListB in the memory of the computer B, the elements of the list ListB being used to store random bits, leaving the list ListB empty; creating a list ListBL in the memory of the computer B, wherein the elements of the list ListBL are used for storing random bits, and the list ListBL is made empty; let I B =1; let I BL ＝1；
Step2: at time t B The acquisition program of the computer B samples the amplitude of the electric signal output by the detector B once to obtain a sampling value D001; assigning the CounterB elements of the array ArrayB to a sampling value D001;
step3: let counterb=counterb+1; let t B ＝t B +δ t ，δ t Is a sampling time interval;
step4: if CounterB > N, go to Step5, otherwise go to Step2;
step5: calculating an average value D002 of all elements in the array ArrayB; let T B Equal to coefficient c t Product of average value D002, coefficient c t Is a positive real number and is used for scaling the average value D002;
step6: starting from the 1 st element of the array ArrayB, the following operations are sequentially performed for each element D003 of the array ArrayB: adding a new element EB at the end of list ListB, the new element EB being the I-th of list ListB B An element; determining whether the value of element D003 is greater than T B If so, list ListB I B The element is assigned bit 1, otherwise the I of the list ListB B The individual element is assigned a bit of 0; let I B ＝I B +1；
Step7: the J-th element of the array ArrayBL is assigned as the difference between the value of the j+1th element of the array ArrayB and the value of the J-th element of the array ArrayB divided by delta for J=1, 2, …, N-1, respectively t Results of (2);
step8: calculating an average value D004 of all elements in the array ArrayBL; let T BL Equal to coefficient c tL Product of average value D004, coefficient c tL Is a positive real number and is used for scaling the average value D004;
step9: starting from the 1 st element of the array ArrayBL, the following operations are sequentially performed for each element D005 of the array ArrayBL: adding a new element EBL at the end of the list ListBL, the new element EBL being the I-th of the list ListBL BL An element; determining whether the value of element D005 is greater than T BL If so, list ListBL of the I BL The element is assigned bit 1, otherwise the I of the list ListBL BL The individual element is assigned a bit of 0; let I BL ＝I BL +1；
Step10: the laser transceiver B completes the original shared random bit sequence extraction operation.
The fourth part of the method performs the following operations in the laser receiver E:
step1: to maximize the eavesdropper's ability, the eavesdropper in the method uses the same shared random bit sequence extraction operation as the legitimate party B. Creating a counter in the acquisition program of the computer E, wherein the counter=1; let time t E =0; creating a one-dimensional array ArrayE containing N elements in a memory of the computer E, wherein the elements of the array ArrayE are used for storing amplitude sampling values of the electric signals output by the detector E; creating a one-dimensional array of N-1 elements in the memory of the computer E, the elements of the array being used to store derivative values of the amplitude samples of the electrical signal output by the detector E; creating a list in the memory of the computer E, wherein the elements of the list are used for storing random bits, and the list is made to be empty; creating a list in the memory of computer E, the elements of list being used for storing the list A machine bit to make the list ListEL empty; let I E =1; let I EL ＝1；
Step2: at time t E The acquisition program of the computer E samples the amplitude of the electric signal output by the detector E once to obtain a sampling value K001; assigning the CounterE element of the array ArrayE as a sampling value K001;
step3: let counter=counter+1; let t E ＝t E +δ t ，δ t Is a sampling time interval;
step4: if CounterE > N, go to Step5, otherwise go to Step2;
step5: calculating an average value K002 of all elements in the array ArrayE; let T E Equal to coefficient c t Product of mean value K002, coefficient c t Is a positive real number and is used for scaling the average value K002;
step6: starting from the 1 st element of the array ArrayE, the following operations are sequentially performed for each element K003 of the array ArrayE: adding a new element EE at the end of list ListE, the new element EE being the I-th of list ListE E An element; determining whether the value of element K003 is greater than T E If so, list I of ListE E The element is assigned bit 1, otherwise the list is written I E The individual element is assigned a bit of 0; let I E ＝I E +1；
Step7: the J-th element of the array ArrayEL is assigned to the difference between the value of the j+1th element of the array ArrayE and the value of the J-th element of the array ArrayE divided by δ for J=1, 2, …, N-1, respectively t Results of (2);
step8: calculating an average value K004 of all elements in the array ArrayEL; let T EL Equal to coefficient c tL Product of average value K004, coefficient c tL Is a positive real number and is used for scaling the average value K004;
step9: starting from the 1 st element of the array ArrayEL, the following is done for each element K005 of the array ArrayEL in turn: adding a new element EEL at the end of the list ListELThe element EEL is the I-th of the list ListEL EL An element; determining whether the value of element K005 is greater than T EL If so, list ListEL I EL The individual elements are assigned bit 1, otherwise the list LittEL is assigned to the I EL The individual element is assigned a bit of 0; let I EL ＝I EL +1；
Step10: the laser transceiver E completes the original shared random bit sequence extraction operation.
The fifth part of the method corrects inconsistent bits in the original shared random bit sequence extracted by the laser transceiver A and the laser transceiver B, and comprises the following specific steps:
step1: in the computer A, the random bit sequences in the list ListA and the random bit sequences in the list ListAL are spliced together, namely after the random bit sequences in the list ListAL are added to the random bit sequences in the list ListA, the random bit sequences in the list ListA and the random bit sequences in the list ListA are made into one random bit sequence and are stored in the list ListA; in the computer B, the random bit sequences in the list ListB and the random bit sequences in the list ListBL are spliced together, namely after the random bit sequences in the list ListBL are added to the random bit sequences in the list ListB, the random bit sequences are made into one random bit sequence and are stored in the list ListB;
Step2: and utilizing error code estimation, key negotiation and error checking technology in the quantum key distribution post-processing to find and correct inconsistent bits in the original shared random bit sequences stored in the list LittA and the list LittB, so that the random bit sequences in the list LittA and the list LittB are consistent.
The sixth part of the method is to extract the shared random bit sequence from the laser receiver E, and the specific steps are as follows:
in the computer E, the random bit sequences in the list ListE and the random bit sequences in the list ListEL are spliced together, namely after the random bit sequences in the list ListEL are added to the random bit sequences in the list ListE, the random bit sequences are made into one random bit sequence and are stored in the list ListE;
in practicing the method, a first portion of the method is performed, then a second portion, a third portion, and a fourth portion of the method are performed simultaneously, and finally a fifth portion and a sixth portion of the method are performed sequentially.
The device and the method for extracting the shared random bits of the atmospheric turbulence related channels have the following advantages: the invention designs a method for extracting random key bit sequences by legal parties and similar key bit sequences by eavesdroppers when the legal channels and the eavesdropping channels have correlation, and can specifically measure the leakage quantity of the key sequences obtained by the eavesdroppers and the key sequences obtained by the legal parties. The preparation of experimental data is provided for the next decorrelation quantization method to reduce the amount of leakage of keys.
Drawings
FIG. 1 is a schematic diagram of the architecture of the present invention for atmospheric turbulence related channel sharing random bit extraction.
The figure indicates: 1. a laser transceiver A; 101. a laser A; 102. a transmitting/receiving optical system A; 103. a detector A; 104. a computer A; 2. a laser transceiver B; 201. a laser B; 202. a transmitting/receiving optical system B; 203. a detector B; 204. a computer B; 3. a laser receiving terminal E; 301. receiving an optical system E; 302. a detector E; 303. and a computer E.
Detailed Description
For a better understanding of the objects, structures and functions of the present invention, a method for extracting random bits for atmospheric turbulence related channel sharing according to the present invention will be described in further detail with reference to the accompanying drawings.
The device comprises a laser transceiver A1, a laser transceiver B2 and a laser receiver E3, wherein the laser transceiver A1 and the laser transceiver B2 are mutually viewed, the laser receiver E3 is in an entrance pupil range of the laser transceiver A1, which diffuses light beams after passing through an atmospheric turbulence channel, and the laser receiver E3 is at a position d=10mm away from the laser transceiver B2 and can receive laser signals sent by the laser transceiver A1;
The laser transceiver A1 comprises a laser A101, a transceiver optical system A102, a detector A103 and a computer A104; the laser transceiver B2 comprises a laser B201, a transceiver optical system B202, a detector B203 and a computer B204; the laser receiving end machine E3 comprises a receiving optical system E301, a detector E302 and a computer E303; as shown in fig. 1, a laser signal a01 emitted by a laser a101 is emitted into an atmospheric turbulence channel through a transceiver optical system a102, and the laser signal a01 reaches a transceiver optical system B202 and then is incident on a detector B203; the laser signal B01 emitted by the laser B201 is emitted into an atmospheric turbulence channel through the receiving and transmitting optical system B202, and the laser signal B01 reaches the receiving and transmitting optical system A102 and then is incident on the detector A103; the computer A104 collects the electric signals output by the detector A103 in real time, and the computer B204 collects the electric signals output by the detector B203 in real time; the laser signal A01 emitted by the laser A101 is emitted into an atmospheric turbulence channel through the receiving and transmitting optical system A102, the laser signal A01 reaches the receiving optical system E301 and then is incident on the detector E302, and the computer E303 collects the electric signals output by the detector E302 in real time.
Examples:
the method for extracting the shared random bits of the atmosphere turbulence related channel comprises the following steps of firstly executing step S1, then simultaneously executing step S2, step S3 and step S4, and finally sequentially executing step S5 and step S6:
Step S1, enabling the laser transceiver A1, the laser transceiver B2 and the laser receiver E3 to work normally:
the laser A101 and the laser B201 are enabled to work normally, the detector A103, the detector B203 and the detector E302 are enabled to work normally, the computer A104, the computer B204 and the computer E303 are enabled to work normally, the receiving and transmitting optical system A102 and the receiving and transmitting optical system B202 are enabled to be aligned with each other and work normally, and the receiving optical system E301 is located at a position d away from the receiving and transmitting optical system B202 and can receive a laser signal sent by the laser receiving and transmitting end machine A1;
step S2, the following operations are executed in the laser transceiver A1:
step S2-1: creating a counter in the acquisition program of computer a104, letting counter=1; let time t A =0; in the memory of computer A104Creating a one-dimensional array ArrayA containing N elements, wherein the elements of the array ArrayA are used for storing amplitude sampling values of the electric signals output by the detector A103; creating a one-dimensional array ArrayAL containing N-1 elements in the memory of computer A104, the elements of array ArrayAL being used to store derivative values of amplitude samples of the electrical signal output by detector A103; creating a list ListA in the memory of computer a104, the elements of list ListA being used to store random bits, leaving list ListA empty; creating a list ListAL in the memory of computer a104, the elements of list ListAL being used to store random bits, leaving list ListAL empty; let I A =1; let I AL ＝1；
Step S2-2: at time t A The acquisition program of the computer A104 samples the amplitude of the electric signal output by the detector A103 once to obtain a sampling value S001; assigning the CounterA element of the array ArrayA as a sampling value S001;
step S2-3: let coutera = coutera+1; let t A ＝t A +δ t ，δ t Is a sampling time interval;
step S2-4: if CounterA > N, go to Step5, otherwise go to Step S2-2;
step S2-5: calculating an average value S002 of all elements in the array ArrayA; let T A Equal to coefficient c t Product of mean value S002, coefficient c t Is a positive real number and is used for scaling the average value S002;
step S2-6: starting from the 1 st element of the array ArrayA, the following operations are sequentially performed for each element S003 of the array ArrayA: adding a new element EA at the end of list ListA, the new element EA being the I < th > of list ListA A An element; determine whether the value of element S003 is greater than T A If so, list ListA of I A The element is assigned bit 1, otherwise the I-th element of the list ListA A The individual element is assigned a bit of 0; let I A ＝I A +1；
Step S2-7: the J-th element of the array ArrayAL is assigned to the value of the j+1st element of the array ArrayA and the value of the j+1st element of the array ArrayA for J=1, 2, …, N-1 respectively The difference between the values of the J-th element of the array ArrayA divided by delta t Results of (2);
step S2-8: calculating an average value S004 of all elements in the array ArrayAL; let T AL Equal to coefficient c tL Product of average value S004, coefficient c tL Is a positive real number and is used for scaling the average value S004;
step S2-9: starting from the 1 st element of the array ArrayAL, the following is done for each element S005 of the array ArrayAL in turn: adding a new element EAL at the end of the list ListAL, the new element EAL being the I-th of the list ListAL AL An element; determine whether the value of element S005 is greater than T AL If so, list ListAL of I AL The element is assigned bit 1, otherwise the list LittAL is assigned I AL The individual element is assigned a bit of 0; let I AL ＝I AL +1；
Step S2-10: the laser transceiver A1 completes the original shared random bit sequence extraction operation
Step S3, the following operations are executed in the laser transceiver B2:
step S3-1: creating a counter in the acquisition program of computer B204, letting counter=1; let time t B =0; creating a one-dimensional array ArrayB containing N elements in the memory of the computer B204, wherein the elements of the array ArrayB are used for storing amplitude sampling values of the electric signals output by the detector B203; creating a one-dimensional array ArrayBL containing N-1 elements in the memory of computer B204, the elements of array ArrayBL being used to store the derivative values of the amplitude samples of the electrical signal output by detector B203; creating a list in the memory of computer B204, the elements of list being used to store random bits, leaving list empty; creating a list ListBL in the memory of computer B204, the elements of list ListBL being used to store random bits, leaving list ListBL empty; let I B =1; let I BL ＝1；
Step S3-2: at time t B The acquisition program of the computer B204 samples the amplitude of the electric signal output by the detector B203 once to obtain a sampling value D001; handle arrayThe CounterB element of ArrayB is assigned a sample value D001;
step S3-3: let counterb=counterb+1; let t B ＝t B +δ t ，δ t Is a sampling time interval;
step S3-4: if CounterB > N, go to step S3-5, otherwise go to step S3-2;
step S3-5: calculating an average value D002 of all elements in the array ArrayB; let T B Equal to coefficient c t Product of average value D002, coefficient c t Is a positive real number and is used for scaling the average value D002;
step S3-6: starting from the 1 st element of the array ArrayB, the following operations are sequentially performed for each element D003 of the array ArrayB: adding a new element EB at the end of list ListB, the new element EB being the I-th of list ListB B An element; determining whether the value of element D003 is greater than T B If so, list ListB I B The element is assigned bit 1, otherwise the I of the list ListB B The individual element is assigned a bit of 0; let I B ＝I B +1；
Step S3-7: the J-th element of the array ArrayBL is assigned as the difference between the value of the j+1th element of the array ArrayB and the value of the J-th element of the array ArrayB divided by delta for J=1, 2, …, N-1, respectively t Results of (2);
step S3-8: calculating an average value D004 of all elements in the array ArrayBL; let T BL Equal to coefficient c tL Product of average value D004, coefficient c tL Is a positive real number and is used for scaling the average value D004;
step S3-9: starting from the 1 st element of the array ArrayBL, the following operations are sequentially performed for each element D005 of the array ArrayBL: adding a new element EBL at the end of the list ListBL, the new element EBL being the I-th of the list ListBL BL An element; determining whether the value of element D005 is greater than T BL If so, list ListBL of the I BL The element is assigned bit 1, otherwise the I of the list ListBL BL The individual element is assigned a bit of 0; let I BL ＝I BL +1；
Step S3-10: the laser transceiver B2 completes the original shared random bit sequence extraction operation;
step S4, the following operations are performed in the laser receiver E3:
step S4-1: to maximize the eavesdropper's ability, the eavesdropper in the method uses the shared random bit sequence extraction operation as that of the legitimate party B; creating a counter in the acquisition program of the computer E303, wherein the counter=1; let time t E =0; creating a one-dimensional array E containing N elements in the memory of the computer E303, where the elements of the array E are used to store the amplitude sample values of the electrical signal output by the detector E302; creating a one-dimensional array of N-1 elements in the memory of computer E303, the elements of the array of array being used to store derivative values of the amplitude samples of the electrical signal output by detector E302; creating a list in the memory of computer E303, the elements of list being used to store random bits, leaving list empty; creating a list ListEL in the memory of computer E303, the elements of the list ListEL being used to store random bits, leaving the list ListEL empty; let I E =1; let I EL ＝1；
Step S4-2: at time t E The acquisition program of the computer E303 samples the amplitude of the electric signal output by the detector E302 once to obtain a sampling value K001; assigning the CounterE element of the array ArrayE as a sampling value K001;
step S4-3: let counter=counter+1; let t E ＝t E +δ t ，δ t Is a sampling time interval;
step S4-4: if CounterE > N, go to step S4-5, otherwise go to step S4-2;
step S4-5: calculating an average value K002 of all elements in the array ArrayE; let T E Equal to coefficient c t Product of mean value K002, coefficient c t Is a positive real number and is used for scaling the average value K002;
step S4-6: starting from the 1 st element of the array ArrayE, the array Arra is sequentially aimed atEach element K003 of yE does the following: adding a new element EE at the end of list ListE, the new element EE being the I-th of list ListE E An element; determining whether the value of element K003 is greater than T E If so, list I of ListE E The element is assigned bit 1, otherwise the list is written I E The individual element is assigned a bit of 0; let I E ＝I E +1；
Step S4-7: the J-th element of the array ArrayEL is assigned to the difference between the value of the j+1th element of the array ArrayE and the value of the J-th element of the array ArrayE divided by δ for J=1, 2, …, N-1, respectively t Results of (2);
step S4-8: calculating an average value K004 of all elements in the array ArrayEL; let T EL Equal to coefficient c tL Product of average value K004, coefficient c tL Is a positive real number and is used for scaling the average value K004;
step S4-9: starting from the 1 st element of the array ArrayEL, the following is done for each element K005 of the array ArrayEL in turn: adding a new element EEL at the end of the list ListEL, the new element EEL being the I-th of the list ListEL EL An element; determining whether the value of element K005 is greater than T EL If so, list ListEL I EL The individual elements are assigned bit 1, otherwise the list LittEL is assigned to the I EL The individual element is assigned a bit of 0; let I EL ＝I EL +1；
Step S4-10: the laser transceiver E completes the original shared random bit sequence extraction operation;
step S5, error correction is carried out on inconsistent bits in original shared random bit sequences extracted by the laser transceiver A1 and the laser transceiver B2, and the specific steps are as follows:
step S5-1: in computer A104, the random bit sequences in List ListA and List ListAL are spliced together, namely, after the random bit sequences in List ListAL are added to the random bit sequences in List ListA, the random bit sequences in List ListA and the random bit sequences in List ListA are made into one random bit sequence and stored in List ListA; in the computer B204, the random bit sequences in the list ListB and the random bit sequences in the list ListB are spliced together, that is, after the random bit sequences in the list ListB are added to the random bit sequences in the list ListB, the random bit sequences are made into one random bit sequence and stored in the list ListB;
Step S5-2: utilizing error code estimation, key negotiation and error checking technology in quantum key distribution post-processing to find and correct inconsistent bits in original shared random bit sequences stored in a list ListA and a list ListB, so that the random bit sequences in the list ListA and the list ListB are consistent;
step S6, extracting a shared random bit sequence from the laser receiving end machine E3, wherein the specific steps are as follows:
in the computer E303, the random bit sequences in the list ListE and the random bit sequences in the list ListEL are spliced together, i.e. after the random bit sequences in the list ListEL are added to the random bit sequences in the list ListE, they are made into one random bit sequence and stored in the list ListE.
In the present embodiment, n=20000; delta t ＝1ms；c t ＝0.8；c tL =0.8; d=10mm; the output light intensities of the laser a and the laser B are stable in time. The light intensity output by the laser A and the light intensity output by the laser B are the same. The light intensity of the receiving optical system E is the same with the receiving optical system A. The detector A, the detector B and the detector E perform identically. The question of whether the eavesdropper is found need not be considered in this example, and the eavesdropper uses the same method of operation as the legitimate party to generate the key sequence.
It will be understood that the application has been described in terms of several embodiments, and that various changes and equivalents may be made to these features and embodiments by those skilled in the art without departing from the spirit and scope of the application. In addition, many modifications may be made to adapt a particular situation or material to the teachings of the application without departing from the essential scope thereof. Therefore, it is intended that the application not be limited to the particular embodiment disclosed, but that the application will include all embodiments falling within the scope of the appended claims.

Claims (2)

1. The device is characterized by comprising a laser transceiver A (1), a laser transceiver B (2) and a laser receiver E (3), wherein the laser transceiver A (1) and the laser transceiver B (2) are mutually viewed, the laser receiver E (3) is in an entrance pupil range of the laser transceiver A (1) for diffusing a light beam after passing through an atmospheric turbulence channel, and the laser receiver E (3) is at a position d away from the laser transceiver B (2) and can receive a laser signal sent by the laser transceiver A (1);
the laser transceiver A (1) comprises a laser A (101), a transceiver optical system A (102), a detector A (103) and a computer A (104); the laser transceiver B (2) comprises a laser B (201), a transceiver optical system B (202), a detector B (203) and a computer B (204); the laser receiving end machine E (3) comprises a receiving optical system E (301), a detector E (302) and a computer E (303);
The laser signal A01 emitted by the laser A (101) is emitted into an atmospheric turbulence channel through the transmitting and receiving optical system A (102), and the laser signal A01 reaches the transmitting and receiving optical system B (202) and then is incident on the detector B (203); the laser signal B01 emitted by the laser B (201) is emitted into an atmospheric turbulence channel through the receiving and transmitting optical system B (202), and the laser signal B01 reaches the receiving and transmitting optical system A (102) and then is emitted onto the detector A (103); the computer A (104) collects the electric signal output by the detector A (103) in real time, and the computer B (204) collects the electric signal output by the detector B (203) in real time; the laser signal A01 emitted by the laser A (101) is emitted into an atmospheric turbulence channel through the receiving and transmitting optical system A (102), the laser signal A01 reaches the receiving optical system E (301) and then is emitted onto the detector E (302), and the computer E (303) collects the electric signals output by the detector E (302) in real time.
2. The method for extracting the random bit shared by the atmosphere turbulence related channels is characterized by comprising the following steps of firstly executing step S1, then simultaneously executing step S2, step S3 and step S4, and finally sequentially executing step S5 and step S6:
step S1, enabling a laser transceiver A (1), a laser transceiver B (2) and a laser receiver E (3) to work normally:
Enabling a laser A (101) and a laser B (201) to work normally, enabling a detector A (103), a detector B (203) and a detector E (302) to work normally, enabling a computer A (104), a computer B (204) and a computer E (303) to work normally, enabling a receiving optical system A (102) and a receiving optical system B (202) to be aligned with each other and work normally, enabling a receiving optical system E (301) to be at a position d away from the receiving optical system B (202) and capable of receiving laser signals sent by a laser receiving and sending end machine A (1);
step S2, the following operations are performed in the laser transceiver a (1):
step S2-1: creating a counter in the acquisition program of computer a (104), letting counter=1; let time t A =0; creating a one-dimensional array ArrayA containing N elements in a memory of the computer A (104), wherein the elements of the array ArrayA are used for storing amplitude sampling values of the electric signals output by the detector A (103); creating a one-dimensional array ArrayAL containing N-1 elements in the memory of computer A (104), the elements of array ArrayAL being used to store derivative values of amplitude samples of the electrical signal output by detector A (103); creating a list ListA in the memory of computer a (104), the elements of list ListA being used to store random bits, leaving list ListA empty; creating a list ListAL in the memory of computer a (104), the elements of the list ListAL being used to store random bits, leaving the list ListAL empty; let I A =1; let I AL ＝1；
Step S2-2: at time t A The acquisition program of the computer A (104) samples the amplitude of the electric signal output by the detector A (103) once to obtain a sampling value S001; assigning the CounterA element of the array ArrayA as a sampling value S001;
step S2-3: let coutera = coutera+1; let t A ＝t A +δ t ，δ t Is a sampling time interval;
step S2-4: if CounterA > N, go to Step5, otherwise go to Step S2-2;
step S2-5: calculation ofAn average value S002 of all elements in the array ArrayA; let T A Equal to coefficient c t Product of mean value S002, coefficient c t Is a positive real number and is used for scaling the average value S002;
step S2-6: starting from the 1 st element of the array ArrayA, the following operations are sequentially performed for each element S003 of the array ArrayA: adding a new element EA at the end of list ListA, the new element EA being the I < th > of list ListA A An element; determine whether the value of element S003 is greater than T A If so, list ListA of I A The element is assigned bit 1, otherwise the I-th element of the list ListA A The individual element is assigned a bit of 0; let I A ＝I A +1；
Step S2-7: the J-th element of the array ArrayAL is assigned to the difference between the value of the j+1-th element of the array ArrayA and the value of the J-th element of the array ArrayA divided by δ for j=1, 2, …, N-1, respectively t Results of (2);
step S2-8: calculating an average value S004 of all elements in the array ArrayAL; let T AL Equal to coefficient c tL Product of average value S004, coefficient c tL Is a positive real number and is used for scaling the average value S004;
step S2-9: starting from the 1 st element of the array ArrayAL, the following is done for each element S005 of the array ArrayAL in turn: adding a new element EAL at the end of the list ListAL, the new element EAL being the I-th of the list ListAL AL An element; determine whether the value of element S005 is greater than T AL If so, list ListAL of I AL The element is assigned bit 1, otherwise the list LittAL is assigned I AL The individual element is assigned a bit of 0; let I AL ＝I AL +1；
Step S2-10: the laser transceiver A (1) completes the original shared random bit sequence extraction operation
Step S3, executing the following operations in the laser transceiver B (2):
step S3-1: creating a counter in the acquisition program of computer B (204), with counter=1; let time t B =0; in a computerB (204) creates a one-dimensional array ArrayB containing N elements, wherein the elements of the array ArrayB are used for storing amplitude sampling values of the electric signals output by the detector B (203); creating a one-dimensional array ArrayBL containing N-1 elements in the memory of computer B (204), the elements of array ArrayBL being used to store derivative values of the amplitude samples of the electrical signal output by detector B (203); creating a list in the memory of computer B (204), the elements of list being used to store random bits, leaving list empty; creating a list ListBL in the memory of computer B (204), the elements of list ListBL being used to store random bits, leaving list ListBL empty; let I B =1; let I BL ＝1；
Step S3-2: at time t B The acquisition program of the computer B (204) samples the amplitude of the electric signal output by the detector B (203) once to obtain a sampling value D001; assigning the CounterB elements of the array ArrayB to a sampling value D001;
step S3-3: let counterb=counterb+1; let t B ＝t B +δ t ，δ t Is a sampling time interval;
step S3-4: if CounterB > N, go to step S3-5, otherwise go to step S3-2;
step S3-5: calculating an average value D002 of all elements in the array ArrayB; let T B Equal to coefficient c t Product of average value D002, coefficient c t Is a positive real number and is used for scaling the average value D002;
step S3-6: starting from the 1 st element of the array ArrayB, the following operations are sequentially performed for each element D003 of the array ArrayB: adding a new element EB at the end of list ListB, the new element EB being the I-th of list ListB B An element; determining whether the value of element D003 is greater than T B If so, list ListB I B The element is assigned bit 1, otherwise the I of the list ListB B The individual element is assigned a bit of 0; let I B ＝I B +1；
Step S3-7: the J-th element of the array ArrayBL is assigned as array ArrayB for J=1, 2, …, N-1, respectively The difference between the value of the j+1th element and the value of the J-th element of the array ArrayB divided by δ t Results of (2);
step S3-8: calculating an average value D004 of all elements in the array ArrayBL; let T BL Equal to coefficient c tL Product of average value D004, coefficient c tL Is a positive real number and is used for scaling the average value D004;
step S3-9: starting from the 1 st element of the array ArrayBL, the following operations are sequentially performed for each element D005 of the array ArrayBL: adding a new element EBL at the end of the list ListBL, the new element EBL being the I-th of the list ListBL BL An element; determining whether the value of element D005 is greater than T BL If so, list ListBL of the I BL The element is assigned bit 1, otherwise the I of the list ListBL BL The individual element is assigned a bit of 0; let I BL ＝I BL +1；
Step S3-10: the laser transceiver B (2) completes the original shared random bit sequence extraction operation;
step S4, the following operations are performed in the laser receiver E (3):
step S4-1: to maximize the eavesdropper's ability, the eavesdropper in the method uses the shared random bit sequence extraction operation as that of the legitimate party B; creating a counter in the acquisition program of the computer E (303), wherein the counter=1; let time t E =0; creating a one-dimensional array of N elements in a memory of the computer E (303), the elements of the array being used to store amplitude samples of the electrical signal output by the detector E (302); creating a one-dimensional array of N-1 elements in the memory of the computer E (303), the elements of the array of array being used to store derivative values of the amplitude samples of the electrical signal output by the detector E (302); creating a list in the memory of computer E (303), the elements of list being used to store random bits, leaving list empty; creating a list ListEL in the memory of computer E (303), the elements of the list ListEL being used to store random bits, leaving the list ListEL empty; let I E =1; let I EL ＝1；
Step (a)S4-2: at time t E The acquisition program of the computer E (303) samples the amplitude of the electric signal output by the detector E (302) once to obtain a sampling value K001; assigning the CounterE element of the array ArrayE as a sampling value K001;
step S4-3: let counter=counter+1; let t E ＝t E +δ t ，δ t Is a sampling time interval;
step S4-4: if CounterE > N, go to step S4-5, otherwise go to step S4-2;
step S4-5: calculating an average value K002 of all elements in the array ArrayE; let T E Equal to coefficient c t Product of mean value K002, coefficient c t Is a positive real number and is used for scaling the average value K002;
step S4-6: starting from the 1 st element of the array ArrayE, the following operations are sequentially performed for each element K003 of the array ArrayE: adding a new element EE at the end of list ListE, the new element EE being the I-th of list ListE E An element; determining whether the value of element K003 is greater than T E If so, list I of ListE E The element is assigned bit 1, otherwise the list is written I E The individual element is assigned a bit of 0; let I E ＝I E +1；
Step S4-7: the J-th element of the array ArrayEL is assigned to the difference between the value of the j+1th element of the array ArrayE and the value of the J-th element of the array ArrayE divided by δ for J=1, 2, …, N-1, respectively t Results of (2);
step S4-8: calculating an average value K004 of all elements in the array ArrayEL; let T EL Equal to coefficient c tL Product of average value K004, coefficient c tL Is a positive real number and is used for scaling the average value K004;
step S4-9: starting from the 1 st element of the array ArrayEL, the following is done for each element K005 of the array ArrayEL in turn: adding a new element EEL at the end of the list ListEL, the new element EEL being the I-th of the list ListEL EL An element; determining whether the value of element K005 is greater than T EL If so, list ListELI EL The individual elements are assigned bit 1, otherwise the list LittEL is assigned to the I EL The individual element is assigned a bit of 0; let I EL ＝I EL +1；
Step S4-10: the laser transceiver E completes the original shared random bit sequence extraction operation;
step S5, error correction is carried out on inconsistent bits in original shared random bit sequences extracted by the laser transceiver A (1) and the laser transceiver B (2), and the specific steps are as follows:
step S5-1: in computer A (104), the random bit sequences in List A and List ListAL are spliced together, namely after the random bit sequences in List ListAL are added to the random bit sequences in List ListA, the random bit sequences in List ListA and the random bit sequences in List ListAL are made into one random bit sequence and stored in List ListA; in computer B (204), the random bit sequences in ListB and ListB L are spliced together, namely after the random bit sequences in ListB L are added to the random bit sequences in ListB, the random bit sequences in ListB are made into one random bit sequence and stored in ListB;
step S5-2: utilizing error code estimation, key negotiation and error checking technology in quantum key distribution post-processing to find and correct inconsistent bits in original shared random bit sequences stored in a list ListA and a list ListB, so that the random bit sequences in the list ListA and the list ListB are consistent;
Step S6, extracting a shared random bit sequence from the laser receiving end machine E (3), wherein the specific steps are as follows:
in computer E (303), the random bit sequences in list ListE and list ListEL are concatenated together.
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