Theoretical analysis of measurement-device-independent quantum key distribution systems integrated into fiber-optic communication lines using dense wavelength division multiplexing

Vorontsova, I.O., Goncharov, R.K., Tarabrina, A.D., Tupyakov, D.V., Bolychev, E.А., Smirnov, S.V., Kiselev, F.D., Egorov, V.I.

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Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

Воронцова И.О., Гончаров Р.К., Тарабрина А.Д., Тупяков Д.В., Болычев Е.А., Смирнов С.В., Киселев Ф.Д., Егоров В.И. Теоретический анализ систем распределения квантовых ключей, не зависящих от измерительных устройств, при их интеграции в волоконно-оптические линии связи с применением технологии плотного мультиплексирования по длине волны // Оптический журнал. 2022. Т. 89. № 7. С. 80–89. http://doi.org/ 10.17586/1023-5086-2022-89-07-80-89

Vorontsova I.O., Goncharov R.K., Tarabrina A.D., Tupyakov D.V., Bolychev E.A., Smirnov S.V., Kiselev F.D., Egorov V.I. Theoretical analysis of measurement-device-independent quantum key distribution systems integrated into fiber-optic communication lines using dense wavelength division multiplexing [in Russian] // Opticheskii Zhurnal. 2022. V. 89. № 7. P. 80–89. http://doi.org/10.17586/1023-5086-2022-89-07-80-89

For citation (Journal of Optical Technology):

I. O. Vorontsova, R. K. Goncharov, A. D. Tarabrina, D. V. Tupyakov, E. A. Bolychev, S. V. Smirnov, F. D. Kiselev, and V. I. Egorov, "Theoretical analysis of measurement-device-independent quantum key distribution systems integrated into fiber-optic communication lines using dense wavelength division multiplexing," Journal of Optical Technology. 89(7), 424-429 (2022). https://doi.org/10.1364/JOT.89.000424

Abstract:

Subject of study. The effect of noise resulting from spontaneous Raman scattering, four-wave mixing, and linear channel crosstalk on the performance of measurement-device-independent quantum key distribution systems with symmetric and asymmetric realizations is studied. Mathematical models of the measurement-device-independent quantum key distribution system and considered channel noise sources are presented. The secure key generation rate was calculated in all cases for assessment and subsequent analysis of the system performance. These results enabled the identification and presentation of the operation features of the measurement-device-independent quantum key distribution system upon its integration into existing fiber-optic communication networks using dense wavelength division multiplexing. Aim of the work. The performance of measurement-device-independent quantum key distribution systems integrated into fiber-optic communication lines using dense wavelength division multiplexing by means of numerical simulation is investigated. Method. An approach based on analysis of the Raman scattering cross section plot and allocation of the information channels of frequencies corresponding to areas located sideways to the pump wavelength was used to determine the optimal configurations of the allocation of quantum and information channels. A single-photon scheme in one symmetric and two asymmetric system realizations was considered for numerical simulations of the quantum key distribution system with an untrusted node. A security analysis was performed according to the Devetak–Winter bound that enables estimating the secure key generation rate in an asymptotic mode (for symmetric infinite sequences) in the presence of collective attacks in the quantum channel. Main results. It was confirmed that the implementation of measurement-device-independent quantum key distribution systems with equal paths of the sender and the receiver (i.e., symmetric) is optimal. The result deteriorated with an increase in the asymmetry parameter. If the quantum channel is within the C-band, the advantage of the symmetric realization was minimal, and it was almost indiscernible when the number of information channels was increased to 40. However, if the quantum channel was at the wavelength of 1310 nm (O band), the difference was significant. Moreover, allocation of the wavelength of 1310 nm to the quantum channel enables the longest distance of operation, and it weakly depends on the number of channels. Practical significance. For practical implementation of quantum key distribution systems, their integration into existing telecommunication infrastructure is of particular interest. This can be achieved through the simultaneous propagation of quantum and information channels in the fiber-optic communication lines by means of multiplexing, and in particular, dense wavelength division multiplexing. However, the power levels characteristic for quantum signals are significantly lower than those for information signals. Therefore, if the information and quantum channels propagate in the same fiber, the noise from the information channels significantly reduces the performance of the quantum key distribution systems. For this reason, the physical and mathematical description, analysis, and numerical simulation of the noise and its interaction with different quantum key distribution systems aimed at identifying the most effective integration method are crucial for the integration of quantum key distribution systems into existing telecommunication networks.

Keywords:

quantum key dustribution, wavelength division multiplexing, secret key generation rate, fiber-optic communication lines

Acknowledgements:

The research is supported by JSC "Russian Railways" (JSC "RZD").

OCIS codes: 270.5565, 270.5568, 270.558

References:

1. Scarani V., Bechmann-Pasquinucci H., Cerf N., et al. The security of practical quantum key distribution // Rev. Modern Phys. 2009. V. 81. № 3. P. 1301–1350. https://doi.org/10.1103/RevModPhys.81.1301
2. Pirandola S., Andersen U.L., Banchiet L., et al. Advances in quantum cryptography // Advances Opt. and Photon. 2020. V. 12. № 4. P. 1012–1236. https://doi.org/10.1364/AOP.361502
3. Gisin N., Ribordy G., Tittel W., Zbinden H. Quantum cryptography // Rev. Modern Phys. 2002. V. 74. № 1. P. 145. https://doi.org/10.1103/RevModPhys.74.145
4. Shor P.W. Algorithms for quantum computation: Discrete logarithms and factoring // Proc. 35th Annual Symp. Foundations of Computer Sci. 1994. P. 124–134. DOI: 10.1109/SFCS.1994.365700
5. Mlejnek M., Kaliteevskiy N., Nolan D. Reducing spontaneous Raman scattering noise in high quantum bit rate QKD systems over optical fiber // arXiv preprint. 2017. arXiv:1712.05891. https://doi.org/10.48550/arXiv.1712.05891
6. Niu J.N., Sun Y.M., Cai C., Ji Y.F. Optimized channel allocation scheme for jointly reducing four-wave mixing and Raman scattering in the DWDM-QKD system // Appl. Opt. 2018. V. 57. № 27. P. 7987–7996. https://doi.org/10.1364/AO.57.007987
7. Kumar R., Qin H., Alléaume R. Coexistence of continuous variable QKD with intense DWDM classical channels // New J. Phys. 2015. V. 17. № 4. P. 043027. https://doi.org/10.1088/1367-2630/17/4/043027
8. Lo H.K., Curty M., Qi B. Measurement-device-independent quantum key distribution // Phys. Rev. Lett. 2012. V. 108. № 13. P. 130503. https://doi.org/10.1103/PhysRevLett.108.130503
9. Ma X., Razavi M. Alternative schemes for measurement-device-independent quantum key distribution // Phys. Rev. A – Atomic, Molecular, and Opt. Phys. 2012. V. 86. № 6. P. 062319. https://doi.org/10.1103/PhysRevA.86.062319
10. Lin R., Chen J. Minimizing spontaneous Raman scattering noise for quantum key distribution in WDM networks // 2021 Optical Fiber Commun. Conf. and Exhib. (OFC). San Francisco, CA, USA. June 6–10 2021. P. 1–3.
11. Cai C., Sun Y., Ji Y. Intercore spontaneous Raman scattering impact on quantum key distribution in multicore fiber // New J. Phys. 2020. V. 22. № 8. P. 083020. https://doi.org/10.1088/1367-2630/aba023
12. Eraerds P., Walenta N., Legré M., et al. Quantum key distribution and 1 Gbps data encryption over a single fibre // New J. Phys. 2010. V. 12. № 6. P. 063027. https://doi.org/10.1088/1367-2630/12/6/063027
13. Boyd R.W. Nonlinear optics. 4th ed. San Diego, CA: Academic Press, 2020. 634 p.
14. Lin Q., Yaman F., Agrawal G.P. Photon-pair generation in optical fibers through four-wave mixing: Role of Raman scattering and pump polarization // Phys. Rev. A – Atomic, Molecular, and Opt. Phys. 2007. V. 75. № 2. P. 023803. https://doi.org/10.1103/PhysRevA.75.023803

15. Hill A., Payne D. Linear crosstalk in wavelength-division-multiplexed optical-fiber transmission systems // J. Lightwave Technol. 1985. V. 3. № 3. P. 643–651. DOI: 10.1109/JLT.1985.1074232
16. Bahrani S., Razavi M., Salehi J.A. Wavelength assignment in hybrid quantum-classical networks // Scientific Reports. 2018. V. 8. № 1. P. 1–13. https://doi.org/10.1038/s41598-018-21418-6
17. Da Silva T.F., Vitoreti D., Xavier G.B., et al. Proof-of-principle demonstration of measurement-deviceindependent quantum key distribution using polarization qubits // Phys. Rev. A. 2013. V. 88. № 5. P. 052303. https://doi.org/10.1103/PhysRevA.88.052303
18. Comandar L., Lucamarini M., Fröhlich B., et al. Quantum key distribution without detector vulnerabilities using optically seeded lasers // Nature Photon. 2016. V. 10. № 5. P. 312–315. https://doi.org/10.1038/nphoton.2016.50
19. Rubenok A., Slater J.A., Chan P., Lucio-Martinez I., Tittel W. Real-world two-photon interference and proof-of-principle quantum key distribution immune to detector attacks // Phys. Rev. Lett. 2013. V. 111. № 13. P. 130501. https://doi.org/10.1103/PhysRevLett.111.130501