Reconciliation for CV-QKD using globally-coupled LDPC codes

doi:10.1088/1674-1056/ab6d4f

中国物理B ›› 2020, Vol. 29 ›› Issue (4): 40301-040301.doi: 10.1088/1674-1056/ab6d4f

Reconciliation for CV-QKD using globally-coupled LDPC codes

Jin-Jing Shi(石金晶), Bo-Peng Li(李伯鹏), Duan Huang(黄端)

School of Computer Science and Engineering, Central South University, Changsha 410083, China

收稿日期:2019-11-26 修回日期:2020-01-13 出版日期:2020-04-05 发布日期:2020-04-05
通讯作者: Duan Huang E-mail:duanhuang@csu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61801522, 61972418, and 61872390), the Natural Science Foundation of Hunan Province, China (Grant Nos. 2019JJ40352 and 2017JJ3415), and the Special Foundation for Distinguished Young Scientists of Changsha City, China (Grant No. kq1905058).

Reconciliation for CV-QKD using globally-coupled LDPC codes

Jin-Jing Shi(石金晶), Bo-Peng Li(李伯鹏), Duan Huang(黄端)

School of Computer Science and Engineering, Central South University, Changsha 410083, China

Received:2019-11-26 Revised:2020-01-13 Online:2020-04-05 Published:2020-04-05
Contact: Duan Huang E-mail:duanhuang@csu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61801522, 61972418, and 61872390), the Natural Science Foundation of Hunan Province, China (Grant Nos. 2019JJ40352 and 2017JJ3415), and the Special Foundation for Distinguished Young Scientists of Changsha City, China (Grant No. kq1905058).

摘要/Abstract

摘要： Reconciliation is a necessary step in postprocessing of continuous-variable quantum key distribution (CV-QKD) system. We use globally coupled low-density parity-check (GC-LDPC) codes in reconciliation to extract a precise secret key from the raw keys over the authenticated classical public channel between two users. GC-LDPC codes have excellent performance over both the additive Gaussian white noise and binary-erasure channels. The reconciliation based on GC-LDPC codes can improve the reconciliation efficiency to 95.42% and reduce the frame error rate to 3.25×10^-3. Using distillation, the decoding speed can achieve 23.8 Mbits/s and decrease the cost of memory. Given decoding speed and low memory usage, this makes the proposed reconciliation method viable approach for high-speed CV-QKD system.

关键词: continuous-variable quantum key distribution, globally coupled low-density parity-check, reconciliation efficiency, frame error rate

Abstract: Reconciliation is a necessary step in postprocessing of continuous-variable quantum key distribution (CV-QKD) system. We use globally coupled low-density parity-check (GC-LDPC) codes in reconciliation to extract a precise secret key from the raw keys over the authenticated classical public channel between two users. GC-LDPC codes have excellent performance over both the additive Gaussian white noise and binary-erasure channels. The reconciliation based on GC-LDPC codes can improve the reconciliation efficiency to 95.42% and reduce the frame error rate to 3.25×10^-3. Using distillation, the decoding speed can achieve 23.8 Mbits/s and decrease the cost of memory. Given decoding speed and low memory usage, this makes the proposed reconciliation method viable approach for high-speed CV-QKD system.

Key words: continuous-variable quantum key distribution, globally coupled low-density parity-check, reconciliation efficiency, frame error rate

中图分类号: (Quantum information)

03.67.-a

03.67.Dd (Quantum cryptography and communication security) 03.67.Hk (Quantum communication) 03.67.Pp (Quantum error correction and other methods for protection against decoherence)

石金晶, 李伯鹏, 黄端. Reconciliation for CV-QKD using globally-coupled LDPC codes[J]. 中国物理B, 2020, 29(4): 40301-040301.

Jin-Jing Shi(石金晶), Bo-Peng Li(李伯鹏), Duan Huang(黄端). Reconciliation for CV-QKD using globally-coupled LDPC codes[J]. Chin. Phys. B, 2020, 29(4): 40301-040301.

参考文献 56

[1]	Gisin N, Ribordy G, Tittel W and Zbinden H 2002 Rev. Mod. Phys. 74 145 doi: 10.1103/RevModPhys.74.145
[2]	Wang X Y, Zhang Y C, Yu S and Guo H 2018 Sci. Rep. 8 10543 doi: 10.1038/s41598-018-28703-4
[3]	Scarani V, Bechmann-Pasquinucci H, Cerf N J, Dušek M, Lütkenhaus N and Peev M 2009 Rev. Mod. Phys. 81 1301 doi: 10.1103/RevModPhys.81.1301
[4]	Lin D K, Huang D, Huang P, Peng J Y and Zeng G H 2015 Int. J. Quantum. Inf. 13.02 100501
[5]	Qian Y J, He D Y, Wang S, Chen W, Yin Z Q, Guo G C and Han Z F 2019 Optica 6 1178 doi: 10.1364/OPTICA.6.001178
[6]	Wang S, Chen W, Yin Z Q, He D Y, Hui C, Hao P L, Fan-Yan G J, Wang C, Zhang L J, Kuang J, Liu S F, Zhou Z, Wang Y G, Guo G C and Han Z F 2018 Opt. Lett. 43 2030 doi: 10.1364/OL.43.002030
[7]	Wang S, Yin Z Q, Chau H F, Chen W, Wang C, Guo G C and Han Z F 2018 Quantum Science and Technology 3 025006 doi: 10.1088/2058-9565/aaace4
[8]	Wang S, He D Y, Yin Z Q, Lu F Y, Cui C H, Chen W, Zhou Z, Guo G C and Han Z F 2019 Phys. Rev. X 9 021046
[9]	Yin Z Q, Wang S, Chen W, Han Y G, Wang R, Guo G C and Han Z F 2018 Nat. Commun. 9 457 doi: 10.1038/s41467-017-02211-x
[10]	Wang S, Yin Z Q, Chen W, He D Y, Song X T, Li H W, Zhang L J, Zhou Z, Guo G C and Han Z F 2015 Nat. Phoron. 9.12 832
[11]	Wang S, Chen W, Guo J F, Yin Z Q, Li H W, Zhou Z, Guo G C and Han Z F 2012 Opt. Lett. 37 1008 doi: 10.1364/OL.37.001008
[12]	Wang S, Chen W, Yin Z Q, Li H W, He D Y, Li Y H, Zhou Z, Song X T, Li F Y, Wang D, Chen H, Han Y G, Huang J Z, Guo J F, Hao P L, Li M, Zhang C M, Liu D, Liang W Y, Miao C H, Wu P, Guo G C and Han Z F 2014 Opt. Express 22 21739 doi: 10.1364/OE.22.021739
[13]	Assche G V, Cardinal J and Cerf N J 2004 IEEE Trans. Inf. Theory 50 394 doi: 10.1109/TIT.2003.822618
[14]	Furrer F 2014 Phys. Rev. A 90 042325 doi: 10.1103/PhysRevA.90.042325
[15]	Milicevic M, Chen F, Zhang L M and Gulak P G 2018 Npj. Quantum Inform. 4 21 doi: 10.1038/s41534-018-0070-6
[16]	Diamanti E, Lo H K, Qi B and Yuan Z 2016 Npj. Quantum Inform. 2 16025 doi: 10.1038/npjqi.2016.25
[17]	Huang D, Huang P, Li H S, Wang T, Zhou Y M and Zeng G H 2016 Opt. Lett. 41 3511 doi: 10.1364/OL.41.003511
[18]	Huang D, Huang P, Wang T, Li H S, Zhou Y M and Zeng G H 2016 Phys. Rev. A 94 032305 doi: 10.1103/PhysRevA.94.032305
[19]	Jouguet P, Kunz-Jacques S, Leverrier A, Grangier P and Diamanti E 2013 Nat. Photon. 7 378 doi: 10.1038/nphoton.2013.63
[20]	Tang G Z, Sun S H and Li C Y 2019 Chin. Phys. Lett. 36 70301 doi: 10.1088/0256-307X/36/7/070301
[21]	Jiang X Q, Huang P, Huang D, Lin D K and Zeng G H 2018 Phys. Rev. A 95 022318
[22]	Bennett C H and Brassard G 1984 Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India, p. 175
[23]	Guo Y, Su Y, Zhou J, Zhang L and Huang D 2019 Chin. Phys. B 28 010305 doi: 10.1088/1674-1056/28/1/010305
[24]	Wang C, Huang P, Huang D, Lin D K and Zeng G H 2016 Phys. Rev. A 93 022315 doi: 10.1103/PhysRevA.93.022315
[25]	Lu Z X, Yu L, Li K, Liu B C, Lin J G, Jiao R Z and Yang B J 2010 Sci. China-Phys., Mech. Astron. 53 100 doi: 10.1007/s11433-010-0069-2
[26]	Zhang H, Mao Y, Huang D, Guo Y, Wu X and Zhang L 2018 Chin. Phys. B 27 090307 doi: 10.1088/1674-1056/27/9/090307
[27]	Li D W, Huang P, Zhou Y M, Li Y and Zeng G H 2018 IEEE Photon. J. 10.5 1
[28]	Jiang X Q, Huang P, Huang D, Lin D K and Zeng G H 2017 Phys. Rev. A 95 022318 doi: 10.1103/PhysRevA.95.022318
[29]	Bacco D, Canale M, Laurenti N, Vallone G and Villoresi P 2013 Nat. Commun. 4 2363 doi: 10.1038/ncomms3363
[30]	Huang D, Lin D K, Wang C, Wei W Q, Fang S H, Peng J Y, Huang P and Zeng G H 2015 Opt. Express 23 017511 doi: 10.1364/OE.23.017511
[31]	Bai Z L, Wang X Y, Yang S S and Li Y M 2016 Sci. China-Phys. Mech. Astron. 59 614201 doi: 10.1007/s11433-015-5702-7
[32]	Jouguet P, Kunz-Jacques S, Diamanti E and Leverrier A 2012 Phys. Rev. A 86 032309 doi: 10.1103/PhysRevA.86.032309
[33]	Leverrier A, Grosshans F and Grangier P 2010 Phys. Rev. A 81 062343 doi: 10.1103/PhysRevA.81.062343
[34]	Kiktenko E O, rushechkin A S, Lim TC C W, Kurochkin Y V and Fedorov A K 2017 Phys. Rev. Appl. 8 044017 doi: 10.1103/PhysRevApplied.8.044017
[35]	Leverrier A and Grangier P 2011 Phys. Rev. A 83 042312 doi: 10.1103/PhysRevA.83.042312
[36]	Jouguet P and Kunz-Jacques S 2012 arXiv: 1204.5882
[37]	Li Y M, Wang X Y, Bai Z L, Liu W Y, Yang S S and Peng K C 2017 Chin. Phys. B 26 040303 doi: 10.1088/1674-1056/26/4/040303
[38]	Li J, Lin S, Abdel-Ghaffar K, Ryan W E and Costello D J 2016 IEEE Inform. Theory Appl. Workshop 16777097
[39]	Phromsa-ard T, Sangwongngam P, Sripimanwat K, Kaemarungsri K, Vanichchanunt P and Wuttisittikulkij L 2014 IEEE Electron., Comput., Telecommun. Inform. Technol. 1-5
[40]	Zhang J, Bai B, Mu X, Xu H, Liu Z and Li H 2018 Wirel. Commun. Mob. Com. 14 4397671
[41]	Diao Q, Huang Q and Lin S 2012 IEEE Trans. Inf. Theory 58 4030 doi: 10.1109/TIT.2012.2184834
[42]	Jouguet P, Elkouss D and Kunz-Jacques S 2014 Phys. Rev. A 90 042329 doi: 10.1103/PhysRevA.90.042329
[43]	Grosshans F, Van Assche G, Wenger J, Brouri R, Cerf N J and Grangier P 2003 Nature 421 238 doi: 10.1038/nature01289
[44]	Fossorier M P C, Mihaljevic M and Imai H 1999 IEEE Trans. Inf. Theory 47.5 673
[45]	Gallager R 1962 IEEE Trans. Inf. Theory 8.1 21
[46]	Lodewyck J, Bloch M, Garciá-Patroán R, Fossier S, Karpov E, Diamanti E, Debuisschert T, Cerf N J, Tualle-Brouri R and McLaughlin S W 2007 Phys. Rev. A 76 042305 doi: 10.1103/PhysRevA.76.042305
[47]	Jiang X Q, Yang S Y, Huang P and Zeng G H 2018 IEEE Photon. J. 10.4 1-10
[48]	MacKay D J 1999 IEEE Trans. Inf. Theory 45 399 doi: 10.1109/18.748992
[49]	Document 3GPP R1-1711982 3GPP TSG RAN WG1 Meeting AH NR2, 3GPP, June 2017
[50]	Leverrier A, Alléaume R, Boutros J, Zémor G and Grangier P 2008 Phys. Rev. A 77 042325 doi: 10.1103/PhysRevA.77.042325
[51]	Huang D, Huang P, Wang T, Li H S, Zhou Y M and Zeng G H 2016 Phys. Rev. A 94 032305 doi: 10.1103/PhysRevA.94.032305
[52]	Fossier S, Diamanti E, Debuisschert T, Tualle-Brouri R and Grangier P 2009 J. Phys. B 42 114014 doi: 10.1088/0953-4075/42/11/114014
[53]	Huang D, Huang P, Lin D K and Zeng G H 2016 Sci. Rep. 6 19201 doi: 10.1038/srep19201
[54]	Guo Y, Liao Q, Wang Y, Huang D, Huang P and Zeng G H 2017 Phys. Rev. A 95 032304 doi: 10.1103/PhysRevA.95.032304
[55]	Jouguet P, Kunz-Jacques S and Leverrier A 2011 Phys. Rev. A 84 062317 doi: 10.1103/PhysRevA.84.062317
[56]	Johnson S J, Chandrasetty V A and Lance A M 2016 IEEE Australian Communications Theory Workshop pp. 18-23

Reconciliation for CV-QKD using globally-coupled LDPC codes

Reconciliation for CV-QKD using globally-coupled LDPC codes

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 56

相关文章 7

Metrics

本文评价

推荐阅读 0

[1]	Qingquan Peng(彭清泉), Qin Liao(廖骎), Hai Zhong(钟海), Junkai Hu(胡峻凯), and Ying Guo(郭迎). Short-wave infrared continuous-variable quantum key distribution over satellite-to-submarine channels[J]. 中国物理B, 2022, 31(6): 60306-060306.
[2]	贺宇千, 毛云, 钟海, 黄端, 郭迎. Hybrid linear amplifier-involved detection for continuous variable quantum key distribution with thermal states[J]. 中国物理B, 2020, 29(5): 50309-050309.
[3]	张淑静, 马鸿鑫, 汪翔, 周淳, 鲍皖苏, 张海龙. Temperature effects on atmospheric continuous-variable quantum key distribution[J]. 中国物理B, 2019, 28(8): 80304-080304.
[4]	郭迎, 苏玉, 周健, 张玲, 黄端. Finite-size analysis of continuous-variable quantum key distribution with entanglement in the middle[J]. 中国物理B, 2019, 28(1): 10305-010305.
[5]	张航, 毛宇, 黄端, 郭迎, 吴晓东, 张玲. Finite-size analysis of eight-state continuous-variable quantum key distribution with the linear optics cloning machine[J]. 中国物理B, 2018, 27(9): 90307-090307.
[6]	刘维琪, 彭进业, 黄鹏, 汪诗寓, 王涛, 曾贵华. Continuous-variable quantum key distribution based on continuous random basis choice[J]. 中国物理B, 2018, 27(7): 70305-070305.
[7]	卢钊, 史建红, 李风光. Spherical reconciliation for a continuous-variable quantum key distribution[J]. 中国物理B, 2017, 26(4): 40304-040304.