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Automated design of quantum-optical experiments for device-independent quantum key distribution

X. Valcarce1,*, P. Sekatski2, E. Gouzien1, A. Melnikov3, and N. Sangouard1

  • 1Université Paris-Saclay, CEA, CNRS, Institut de Physique Théorique, 91191 Gif-sur-Yvette, France
  • 2Department of Applied Physics, University of Geneva, 1205 Geneva, Switzerland
  • 3Terra Quantum AG, 9000 St. Gallen, Switzerland

  • *xavier.valcarce@ipht.fr

Phys. Rev. A 107, 062607 – Published 7 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.062607

Abstract

Device-independent quantum key distribution (DIQKD) reduces the vulnerability to side-channel attacks of standard quantum key distribution protocols by removing the need for characterized quantum devices. The higher security guarantees come, however, at the price of a challenging implementation. Here, we tackle the question of the conception of an experiment for implementing DIQKD with photonic devices. We introduce a technique combining reinforcement learning, an optimization algorithm, and a custom efficient simulation of quantum optics experiments to automate the design of photonic setups maximizing a given function of the measurement statistics. Applying the algorithm to DIQKD, we get unexpected experimental configurations leading to high key rates and to a high resistance to loss and noise. These configurations might be helpful to facilitate a first implementation of DIQKD with photonic devices and for future developments targeting improved performances.

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References (59)

  1. C. H. Bennett and G. Brassard, Theor. Comput. Sci. 560, 7 (2014).
  2. A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991).
  3. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
  4. V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, Rev. Mod. Phys. 81, 1301 (2009).
  5. H.-K. Lo, M. Curty, and K. Tamaki, Nat. Photonics 8, 595 (2014).
  6. S. Pirandola, U. L. Andersen, L. Banchi, M. Berta, D. Bunandar, R. Colbeck, D. Englund, T. Gehring, C. Lupo, C. Ottaviani, J. L. Pereira, M. Razavi, J. Shamsul Shaari, M. Tomamichel, V. C. Usenko, G. Vallone, P. Villoresi, and P. Wallden, Adv. Opt. Photonics 12, 1012 (2020).
  7. F. Xu, X. Ma, Q. Zhang, H.-K. Lo, and J.-W. Pan, Rev. Mod. Phys. 92, 025002 (2020).
  8. J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
  9. I. Šupić and J. Bowles, Quantum 4, 337 (2020).
  10. S. Pironio, A. Acín, S. Massar, A. B. de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature (London) 464, 1021 (2010).
  11. L. J. Stephenson, D. P. Nadlinger, B. C. Nichol, S. An, P. Drmota, T. G. Ballance, K. Thirumalai, J. F. Goodwin, D. M. Lucas, and C. J. Ballance, Phys. Rev. Lett. 124, 110501 (2020).
  12. D. P. Nadlinger, P. Drmota, B. C. Nichol, G. Araneda, D. Main, R. Srinivas, D. M. Lucas, C. J. Ballance, K. Ivanov, E. Y.-Z. Tan, P. Sekatski, R. L. Urbanke, R. Renner, N. Sangouard, and J.-D. Bancal, Nature (London) 607, 682 (2022).
  13. W. Zhang, T. van Leent, K. Redeker, R. Garthoff, R. Schwonnek, F. Fertig, S. Eppelt, W. Rosenfeld, V. Scarani, C. C.-W. Lim, and H. Weinfurter, Nature (London) 607, 687 (2022).
  14. B. G. Christensen, K. T. McCusker, J. B. Altepeter, B. Calkins, T. Gerrits, A. E. Lita, A. Miller, L. K. Shalm, Y. Zhang, S. W. Nam, N. Brunner, C. C. W. Lim, N. Gisin, and P. G. Kwiat, Phys. Rev. Lett. 111, 130406 (2013).
  15. L. K. Shalm, E. Meyer-Scott, B. G. Christensen, P. Bierhorst, M. A. Wayne, M. J. Stevens, T. Gerrits, S. Glancy, D. R. Hamel, M. S. Allman, K. J. Coakley, S. D. Dyer, C. Hodge, A. E. Lita, V. B. Verma, C. Lambrocco, E. Tortorici, A. L. Migdall, Y. Zhang, D. R. Kumor et al., Phys. Rev. Lett. 115, 250402 (2015).
  16. Y. Liu, Q. Zhao, M.-H. Li, J.-Y. Guan, Y. Zhang, B. Bai, W. Zhang, W.-Z. Liu, C. Wu, X. Yuan, H. Li, W. J. Munro, Z. Wang, L. You, J. Zhang, X. Ma, J. Fan, Q. Zhang, and J.-W. Pan, Nature (London) 562, 548 (2018).
  17. L. Shen, J. Lee, L. P. Thinh, J.-D. Bancal, A. Cerè, A. Lamas-Linares, A. Lita, T. Gerrits, S. W. Nam, V. Scarani, and C. Kurtsiefer, Phys. Rev. Lett. 121, 150402 (2018).
  18. M. Giustina, M. A. M. Versteegh, S. Wengerowsky, J. Handsteiner, A. Hochrainer, K. Phelan, F. Steinlechner, J. Kofler, J.-A. Larsson, C. Abellán, W. Amaya, V. Pruneri, M. W. Mitchell, J. Beyer, T. Gerrits, A. E. Lita, L. K. Shalm, S. W. Nam, T. Scheidl, R. Ursin et al., Phys. Rev. Lett. 115, 250401 (2015).
  19. V. Caprara Vivoli, P. Sekatski, J.-D. Bancal, C. C. W. Lim, B. G. Christensen, A. Martin, R. T. Thew, H. Zbinden, N. Gisin, and N. Sangouard, Phys. Rev. A 91, 012107 (2015).
  20. V. Zapatero, T. van Leent, R. Arnon-Friedman, W.-Z. Liu, Q. Zhang, H. Weinfurter, and M. Curty, npj Quantum Inf. 9, 10 (2023).
  21. W.-Z. Liu, Y.-Z. Zhang, Y.-Z. Zhen, M.-H. Li, Y. Liu, J. Fan, F. Xu, Q. Zhang, and J.-W. Pan, Phys. Rev. Lett. 129, 050502 (2022).
  22. M. A. Horne, A. Shimony, and A. Zeilinger, Phys. Rev. Lett. 62, 2209 (1989).
  23. K. Banaszek and K. Wódkiewicz, Phys. Rev. Lett. 82, 2009 (1999).
  24. R. García-Patrón, J. Fiurášek, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, Phys. Rev. Lett. 93, 130409 (2004).
  25. S. Tanzilli, A. Martin, F. Kaiser, M. D. Micheli, O. Alibart, and D. Ostrowsky, Laser Photonics Rev. 6, 115 (2012).
  26. E. Pelucchi, G. Fagas, I. Aharonovich, D. Englund, E. Figueroa, Q. Gong, H. Hannes, J. Liu, C.-Y. Lu, N. Matsuda, J.-W. Pan, F. Schreck, F. Sciarrino, C. Silberhorn, J. Wang, and K. D. Jöns, Nat. Rev. Phys. 4, 194 (2021).
  27. P. Sekatski, J.-D. Bancal, X. Valcarce, E. Y.-Z. Tan, R. Renner, and N. Sangouard, Quantum 5, 444 (2021).
  28. E. Woodhead, A. Acín, and S. Pironio, Quantum 5, 443 (2021).
  29. P. Brown, H. Fawzi, and O. Fawzi, arXiv:2106.13692.
  30. E. Y.-Z. Tan, R. Schwonnek, K. T. Goh, I. W. Primaatmaja, and C. C.-W. Lim, npj Quantum Inf. 7, 158 (2021).
  31. J. Kołodyński, A. Máttar, P. Skrzypczyk, E. Woodhead, D. Cavalcanti, K. Banaszek, and A. Acín, Quantum 4, 260 (2020).
  32. J.-D. Bancal, L. Sheridan, and V. Scarani, New J. Phys. 16, 033011 (2014).
  33. O. Nieto-Silleras, S. Pironio, and J. Silman, New J. Phys. 16, 013035 (2014).
  34. Y. LeCun, Y. Bengio, and G. Hinton, Nature (London) 521, 436 (2015).
  35. J. Schmidhuber, Neural Networks 61, 85 (2015).
  36. V. Mnih, K. Kavukcuoglu, D. Silver, A. A. Rusu, J. Veness, M. G. Bellemare, A. Graves, M. Riedmiller, A. K. Fidjeland, G. Ostrovski et al., Nature (London) 518, 529 (2015).
  37. D. Silver, T. Hubert, J. Schrittwieser, I. Antonoglou, M. Lai, A. Guez, M. Lanctot, L. Sifre, D. Kumaran, T. Graepel, T. Lillicrap, K. Simonyan, and D. Hassabis, Science 362, 1140 (2018).
  38. M. Krenn, M. Malik, R. Fickler, R. Lapkiewicz, and A. Zeilinger, Phys. Rev. Lett. 116, 090405 (2016).
  39. J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, Nature (London) 549, 195 (2017).
  40. V. Dunjko and H. J. Briegel, Rep. Prog. Phys. 81, 074001 (2018).
  41. G. Carleo, I. Cirac, K. Cranmer, L. Daudet, M. Schuld, N. Tishby, L. Vogt-Maranto, and L. Zdeborová, Rev. Mod. Phys. 91, 045002 (2019).
  42. M. Krenn, M. Erhard, and A. Zeilinger, Nat. Rev. Phys. 2, 649 (2020).
  43. M. Krenn, J. S. Kottmann, N. Tischler, and A. Aspuru-Guzik, Phys. Rev. X 11, 031044 (2021).
  44. A. A. Melnikov, P. Sekatski, and N. Sangouard, Phys. Rev. Lett. 125, 160401 (2020).
  45. R. S. Sutton and A. G. Barto, Reinforcement Learning: An Introduction, 2nd ed. (MIT Press, Cambridge, MA, 2018).
  46. J. A. Nelder and R. Mead, Comput. J. 7, 308 (1965).
  47. I. Devetak and A. Winter, Proc. R. Soc. London A 461, 207 (2005).
  48. S. Pironio, A. Acín, N. Brunner, N. Gisin, S. Massar, and V. Scarani, New J. Phys. 11, 045021 (2009).
  49. M. Ho, P. Sekatski, E. Y.-Z. Tan, R. Renner, J.-D. Bancal, and N. Sangouard, Phys. Rev. Lett. 124, 230502 (2020).
  50. C. Weedbrook, S. Pirandola, R. García-Patrón, N. J. Cerf, T. C. Ralph, J. H. Shapiro, and S. Lloyd, Rev. Mod. Phys. 84, 621 (2012).
  51. G. Adesso, S. Ragy, and A. R. Lee, Open Syst. Inf. Dyn. 21, 1440001 (2014).
  52. J. B. Brask, arXiv:2102.05748.
  53. X. Valcarce, QuantumOpticalCircuits.jl, https://github.com/xvalcarce/QuantumOpticalCircuits.jl (2021).
  54. J. Bezanson, A. Edelman, S. Karpinski, and V. B. Shah, SIAM Rev. 59, 65 (2017).
  55. L. Weng, lilianweng.github.io (2018).
  56. J. Schulman, F. Wolski, P. Dhariwal, A. Radford, and O. Klimov, arXiv:1707.06347.
  57. J. Schulman, S. Levine, P. Abbeel, M. I. Jordan, and P. Moritz, in Proceedings of the 32nd International Conference on Machine Learning, Lille, France, edited by F. Bach and D. Blei (PMLR, 2015), Vol. 37.
  58. W. Vogel and D.-G. Welsch, Quantum Optics (Wiley, New York, 2006).
  59. J. Tian et al., https://github.com/JuliaReinforcementLearning/ReinforcementLearning.jl (2020).

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