Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Wide-Spectrum Security of Quantum Key Distribution

Hao Tan1,2,3,*, Mikhail Petrov4,*, Weiyang Zhang5, Liying Han1,2, Sheng-Kai Liao1,2,5, Vadim Makarov2,4,†, Feihu Xu1,2,5,‡, and Jian-Wei Pan1,2,5

  • *These authors contributed equally.
  • †Contact author: makarov@vad1.com
  • ‡Contact author: feihuxu@ustc.edu.cn

PRX Quantum 6, 040331 – Published 12 November, 2025

DOI: https://doi.org/10.1103/smdh-dcpm

Abstract

Implementations of quantum key distribution (QKD) need vulnerability assessment against loopholes in their optical scheme. Most of the optical attacks involve injecting or receiving extraneous light via the communication channel. An eavesdropper can choose her attack wavelengths arbitrarily within the quantum channel passband to maximize the attack performance, exploiting spectral transparency windows of system components. Here we propose a wide-spectrum security evaluation methodology to achieve full optical spectrum safety for QKD systems. This technique requires transmittance characterization in a wide spectral band with a high sensitivity. We report a testbench that characterizes insertion loss of fiber-optic components in a wide spectral range of 400–2300 nm and up to 70 dB dynamic range. To illustrate practical application of the proposed methodology, we give a full Trojan-horse attack analysis for some typical QKD system configurations and discuss briefly induced-photorefraction and detector-backflash attacks. Our methodology can be used for certification of QKD systems.

View figure in article

Physics Subject Headings (PhySH)

Corrections

15 May, 2026

Correction: An erroneous funding statement has been removed from the Acknowledgments.

Popular Summary

Article Text

References (66)

  1. C. H. Bennett and G. Brassard, in Proc. International Conference on Computers, Systems, and Signal Processing (IEEE Press, New York, Bangalore, India, 1984), pp. 175–179.
  2. A. K. Ekert, Quantum cryptography based on Bell’s theorem, Phys. Rev. Lett. 67, 661 (1991).
  3. 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).
  4. E. Diamanti, H.-K. Lo, B. Qi, and Z. Yuan, Practical challenges in quantum key distribution, npj Quantum Inf. 2, 16025 (2016).
  5. A. Vakhitov, V. Makarov, and D. R. Hjelme, Large pulse attack as a method of conventional optical eavesdropping in quantum cryptography, J. Mod. Opt. 48, 2023 (2001).
  6. N. Gisin, S. Fasel, B. Kraus, H. Zbinden, and G. Ribordy, Trojan-horse attacks on quantum-key-distribution systems, Phys. Rev. A 73, 022320 (2006).
  7. V. Makarov, A. Anisimov, and J. Skaar, Effects of detector efficiency mismatch on security of quantum cryptosystems, Phys. Rev. A 74, 022313 (2006), erratum ibid. 78, 019905 (2008).
  8. V. Makarov, Controlling passively quenched single photon detectors by bright light, New J. Phys. 11, 065003 (2009).
  9. F. Xu, B. Qi, and H.-K. Lo, Experimental demonstration of phase-remapping attack in a practical quantum key distribution system, New J. Phys. 12, 113026 (2010).
  10. L. Lydersen, C. Wiechers, C. Wittmann, D. Elser, J. Skaar, and V. Makarov, Hacking commercial quantum cryptography systems by tailored bright illumination, Nat. Photonics 4, 686 (2010).
  11. H.-W. Li, S. Wang, J.-Z. Huang, W. Chen, Z.-Q. Yin, F.-Y. Li, Z. Zhou, D. Liu, Y. Zhang, G.-C. Guo, W.-S. Bao, and Z.-F. Han, Attacking a practical quantum-key-distribution system with wavelength-dependent beam-splitter and multiwavelength sources, Phys. Rev. A 84, 062308 (2011).
  12. N. Jain, E. Anisimova, I. Khan, V. Makarov, C. Marquardt, and G. Leuchs, Trojan-horse attacks threaten the security of practical quantum cryptography, New J. Phys. 16, 123030 (2014).
  13. S. Sajeed, I. Radchenko, S. Kaiser, J.-P. Bourgoin, A. Pappa, L. Monat, M. Legré, and V. Makarov, Attacks exploiting deviation of mean photon number in quantum key distribution and coin tossing, Phys. Rev. A 91, 032326 (2015).
  14. A. N. Bugge, S. Sauge, A. M. M. Ghazali, J. Skaar, L. Lydersen, and V. Makarov, Laser damage helps the eavesdropper in quantum cryptography, Phys. Rev. Lett. 112, 070503 (2014).
  15. S.-H. Sun, F. Xu, M.-S. Jiang, X.-C. Ma, H.-K. Lo, and L.-M. Liang, Effect of source tampering in the security of quantum cryptography, Phys. Rev. A 92, 022304 (2015).
  16. Y. Shi, J. Z. J. Lim, H. S. Poh, P. K. Tan, P. A. Tan, A. Ling, and C. Kurtsiefer, Breakdown flash at telecom wavelengths in InGaAs avalanche photodiodes, Opt. Express 25, 30388 (2017).
  17. P. V. P. Pinheiro, P. Chaiwongkhot, S. Sajeed, R. T. Horn, J.-P. Bourgoin, T. Jennewein, N. Lütkenhaus, and V. Makarov, Eavesdropping and countermeasures for backflash side channel in quantum cryptography, Opt. Express 26, 21020 (2018).
  18. A. Huang, Á. Navarrete, S.-H. Sun, P. Chaiwongkhot, M. Curty, and V. Makarov, Laser-seeding attack in quantum key distribution, Phys. Rev. Appl. 12, 064043 (2019).
  19. K. Wei, W. Zhang, Y.-L. Tang, L. You, and F. Xu, Implementation security of quantum key distribution due to polarization-dependent efficiency mismatch, Phys. Rev. A 100, 022325 (2019).
  20. A. Huang, R. Li, V. Egorov, S. Tchouragoulov, K. Kumar, and V. Makarov, Laser-damage attack against optical attenuators in quantum key distribution, Phys. Rev. Appl. 13, 034017 (2020).
  21. H. Tan, W. Li, L. Zhang, K. Wei, and F. Xu, Chip-based quantum key distribution against Trojan-horse attack, Phys. Rev. Appl. 15, 064038 (2021).
  22. A. Ponosova, D. Ruzhitskaya, P. Chaiwongkhot, V. Egorov, V. Makarov, and A. Huang, Protecting fiber-optic quantum key distribution sources against light-injection attacks, PRX Quantum 3, 040307 (2022).
  23. P. Ye, W. Chen, G.-W. Zhang, F.-Y. Lu, F.-X. Wang, G.-Z. Huang, S. Wang, D.-Y. He, Z.-Q. Yin, G.-C. Guo, and Z.-F. Han, Induced-photorefraction attack against quantum key distribution, Phys. Rev. Appl. 19, 054052 (2023).
  24. L. Han, Y. Li, H. Tan, W. Zhang, W. Cai, J. Yin, J. Ren, F. Xu, S. Liao, and C. Peng, Effect of light injection on the security of practical quantum key distribution, Phys. Rev. Appl. 20, 044013 (2023).
  25. M. Fadeev, A. Ponosova, Q. Peng, A. Huang, R. Shakhovoy, and V. Makarov, Optical-pumping attack on a quantum key distribution laser source, Opt. Express (in press).
  26. S. Sajeed, C. Minshull, N. Jain, and V. Makarov, Invisible Trojan-horse attack, Sci. Rep. 7, 8403 (2017).
  27. A. Meda, I. P. Degiovanni, A. Tosi, Z. Yuan, G. Brida, and M. Genovese, Quantifying backflash radiation to prevent zero-error attacks in quantum key distribution, Light Sci. Appl. 6, e16261 (2017).
  28. M. Lucamarini, I. Choi, M. B. Ward, J. F. Dynes, Z. L. Yuan, and A. J. Shields, Practical security bounds against the Trojan-horse attack in quantum key distribution, Phys. Rev. X 5, 031030 (2015).
  29. N. Jain, B. Stiller, I. Khan, V. Makarov, C. Marquardt, and G. Leuch, Risk analysis of Trojan-horse attacks on practical quantum key distribution systems, IEEE J. Sel. Top. Quantum Electron. 21, 6600710 (2015).
  30. ISO/IEC 23837-2:2023(en, Information security—Security requirements, test and evaluation methods for quantum key distribution—Part 2: Evaluation and testing methods, https://www.iso.org/obp/ui/en/#iso:std:iso-iec:23837:-2:ed-1:v1:en, visited 22 Nov 2023.
  31. V. Makarov, A. Abrikosov, P. Chaiwongkhot, A. K. Fedorov, A. Huang, E. Kiktenko, M. Petrov, A. Ponosova, D. Ruzhitskaya, A. Tayduganov, D. Trefilov, and K. Zaitsev, Preparing a commercial quantum key distribution system for certification against implementation loopholes, Phys. Rev. Appl. 22, 044076 (2024).
  32. A. Tomita, Implementation security certification of decoy-BB84 quantum key distribution systems, Adv. Quantum Technol. 2, 1900005 (2019).
  33. S. Sajeed, P. Chaiwongkhot, A. Huang, H. Qin, V. Egorov, A. Kozubov, A. Gaidash, V. Chistiakov, A. Vasiliev, A. Gleim, and V. Makarov, An approach for security evaluation and certification of a complete quantum communication system, Sci. Rep. 11, 5110 (2021).
  34. Draft ETSI GS QKD 010 V0.4.1 (2021-06, Quantum key distribution (QKD); Implementation security: protection against Trojan horse attacks, https://docbox.etsi.org/ISG/QKD/Open/GS-QKD-0010_ISTrojan_v0.4.1_OpenArea.pdf, visited 16 Mar 2025.
  35. Y. Zhang, Y. Bian, Z. Li, S. Yu, and H. Guo, Continuous-variable quantum key distribution system: past, present, and future, Appl. Phys. Rev. 11, 011318 (2024).
  36. C. Marquardt, U. Seyfarth, S. Bettendorf, M. Bohmann, A. Buchner, M. Curty, D. Elser, S. Eul, T. Gehring, N. Jain, T. Klocke, M. Reinecke, N. Sieber, R. Ursin, M. Wehling, and H. Weier, Implementation attacks against QKD systems, BSI technical report, https://www.bsi.bund.de/EN/Service-Navi/Publikationen/Studien/QKD-Systems/Implementation_Attacks_QKD_Systems_node.html, visited 14 Feb 2024.
  37. NKT Photonics, SuperK Fianium supercontinuum white light fiber lasers, https://www.nktphotonics.com/products/supercontinuum-white-light-lasers/superk-fianium/, visited 27 Nov 2023.
  38. B. Nasedkin, F. Kiselev, I. Filipov, D. Tolochko, A. Ismagilov, V. Chistiakov, A. Gaidash, A. Tcypkin, A. Kozubov, and V. Egorov, Loopholes in the 1500–2100-nm range for quantum-key-distribution components: prospects for Trojan-horse attacks, Phys. Rev. Appl. 20, 014038 (2023).
  39. NKT Photonics, SuperK Split spectral splitter, https://www.nktphotonics.com/products/supercontinuum-white-light-lasers/superk-split/, visited 27 Nov 2023.
  40. NKT Photonics, SuperK Connect broadband fiber delivery, https://www.nktphotonics.com/products/supercontinuum-white-light-lasers/superk-connect/, visited 27 Nov 2023.
  41. Yokogawa, AQ6374 wide range optical spectrum analyzer, https://tmi.yokogawa.com/solutions/discontinued/aq6374-wide-range-optical-spectrum-analyzer-350-1750-nm/, visited 27 Nov 2023.
  42. Yokogawa, AQ6375B wide range optical spectrum analyzer, https://tmi.yokogawa.com/solutions/discontinued/aq6375b-optical-spectrum-analyzer/, visited 27 Nov 2023.
  43. Q. Wang, G. Farrell, and T. Freir, Theoretical and experimental investigations of macro-bend losses for standard single mode fibers, Opt. Express 13, 4476 (2005).
  44. W. Chen, Z. Chen, Y. Zhang, H. Li, and Y. Lian, Agarose coated macro-bend fiber sensor for relative humidity and temperature measurement at 2μm, Opt. Fiber Technol. 50, 118 (2019).
  45. M. A. Green and M. J. Keevers, Optical properties of intrinsic silicon at 300 K, Prog. Photovolt. Res. Appl. 3, 189 (1995).
  46. M. A. Green, Self-consistent optical parameters of intrinsic silicon at 300 K including temperature coefficients, Sol. Energy Mater. Sol. Cells 92, 1305 (2008).
  47. S. Kasap and P. Kapper, (Eds.), Springer Handbook of Electronic and Photonic Materials (Springer, Stürtz GmbH, Würzburg, 2006), p. 54.
  48. K. Tamaki, M. Curty, and M. Lucamarini, Decoy-state quantum key distribution with a leaky source, New J. Phys. 18, 065008 (2016).
  49. S. Sun and F. Xu, Security of quantum key distribution with source and detection imperfections, New J. Phys. 23, 023011 (2021).
  50. X. Ma, B. Qi, Y. Zhao, and H.-K. Lo, Practical decoy state for quantum key distribution, Phys. Rev. A 72, 012326 (2005).
  51. H.-K. Lo, M. Curty, and B. Qi, Measurement-device-independent quantum key distribution, Phys. Rev. Lett. 108, 130503 (2012).
  52. Y.-H. Zhou, Z.-W. Yu, and X.-B. Wang, Making the decoy-state measurement-device-independent quantum key distribution practically useful, Phys. Rev. A 93, 042324 (2016).
  53. 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).
  54. F. Xu, M. Curty, B. Qi, and H.-K. Lo, Practical aspects of measurement-device-independent quantum key distribution, New J. Phys. 15, 113007 (2013).
  55. R. Kashyap and K. J. Blow, Observation of catastrophic self-propelled self-focusing in optical fibres, Electron. Lett. 24, 47 (1988).
  56. D. D. Davis, S. C. Mettler, and D. J. DiGiovanni, A comparative evaluation of fiber fuse models, Proc. SPIE 2966, 592 (1997).
  57. W. Li, V. Zapatero, H. Tan, K. Wei, H. Min, W.-Y. Liu, X. Jiang, S.-K. Liao, C.-Z. Peng, M. Curty, F. Xu, and J.-W. Pan, Experimental quantum key distribution secure against malicious devices, Phys. Rev. Appl. 15, 034081 (2021).
  58. W. Li, L. Zhang, H. Tan, Y. Lu, S.-K. Liao, J. Huang, H. Li, Z. Wang, H.-K. Mao, B. Yan, Q. Li, Y. Liu, Q. Zhang, C.-Z. Peng, L. You, F. Xu, and J.-W. Pan, High-rate quantum key distribution exceeding 110 Mb s−1, Nat. Photonics 17, 416 (2023).
  59. Y. Cao et al., Long-distance free-space measurement-device-independent quantum key distribution, Phys. Rev. Lett 125, 260503 (2020).
  60. 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).
  61. F.-Y. Lu, P. Ye, Z.-H. Wang, S. Wang, Z.-Q. Yin, R. Wang, X.-J. Huang, W. Chen, D.-Y. He, G.-J. Fan-Yuan, G.-C. Guo, and Z.-F. Han, Hacking measurement-device-independent quantum key distribution, Optica 10, 520 (2023).
  62. A. Koehler-Sidki, J. Dynes, T. Paraïso, M. Lucamarini, A. W. Sharpe, Z. Yuan, and A. Shields, Backflashes from fast-gated avalanche photodiodes in quantum key distribution, Appl. Phys. Lett. 116, 154001 (2020).
  63. S. Molotkov, Trojan horse attacks, decoy state method, and side channels of information leakage in quantum cryptography, J. Exp. Theor. Phys. 130, 809 (2020).
  64. L. Marini, R. Camphausen, B. J. Eggleton, and S. Palomba, Deterministic filtering of breakdown flashing at telecom wavelengths, Appl. Phys. Lett. 111, 213501 (2017).
  65. A. Huang, S. H. Sun, Z. Liu, and V. Makarov, Quantum key distribution with distinguishable decoy states, Phys. Rev. A 98, 012330 (2018).
  66. 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).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation