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Automated design of quantum-optical experiments for device-independent quantum key distribution
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)
- C. H. Bennett and G. Brassard, Theor. Comput. Sci. 560, 7 (2014).
- A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991).
- N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
- V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, Rev. Mod. Phys. 81, 1301 (2009).
- H.-K. Lo, M. Curty, and K. Tamaki, Nat. Photonics 8, 595 (2014).
- 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).
- F. Xu, X. Ma, Q. Zhang, H.-K. Lo, and J.-W. Pan, Rev. Mod. Phys. 92, 025002 (2020).
- J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
- I. Šupić and J. Bowles, Quantum 4, 337 (2020).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- V. Zapatero, T. van Leent, R. Arnon-Friedman, W.-Z. Liu, Q. Zhang, H. Weinfurter, and M. Curty, npj Quantum Inf. 9, 10 (2023).
- 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).
- M. A. Horne, A. Shimony, and A. Zeilinger, Phys. Rev. Lett. 62, 2209 (1989).
- K. Banaszek and K. Wódkiewicz, Phys. Rev. Lett. 82, 2009 (1999).
- R. García-Patrón, J. Fiurášek, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, Phys. Rev. Lett. 93, 130409 (2004).
- S. Tanzilli, A. Martin, F. Kaiser, M. D. Micheli, O. Alibart, and D. Ostrowsky, Laser Photonics Rev. 6, 115 (2012).
- 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).
- P. Sekatski, J.-D. Bancal, X. Valcarce, E. Y.-Z. Tan, R. Renner, and N. Sangouard, Quantum 5, 444 (2021).
- E. Woodhead, A. Acín, and S. Pironio, Quantum 5, 443 (2021).
- P. Brown, H. Fawzi, and O. Fawzi, arXiv:2106.13692.
- E. Y.-Z. Tan, R. Schwonnek, K. T. Goh, I. W. Primaatmaja, and C. C.-W. Lim, npj Quantum Inf. 7, 158 (2021).
- J. Kołodyński, A. Máttar, P. Skrzypczyk, E. Woodhead, D. Cavalcanti, K. Banaszek, and A. Acín, Quantum 4, 260 (2020).
- J.-D. Bancal, L. Sheridan, and V. Scarani, New J. Phys. 16, 033011 (2014).
- O. Nieto-Silleras, S. Pironio, and J. Silman, New J. Phys. 16, 013035 (2014).
- Y. LeCun, Y. Bengio, and G. Hinton, Nature (London) 521, 436 (2015).
- J. Schmidhuber, Neural Networks 61, 85 (2015).
- 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).
- 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).
- M. Krenn, M. Malik, R. Fickler, R. Lapkiewicz, and A. Zeilinger, Phys. Rev. Lett. 116, 090405 (2016).
- J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, Nature (London) 549, 195 (2017).
- V. Dunjko and H. J. Briegel, Rep. Prog. Phys. 81, 074001 (2018).
- G. Carleo, I. Cirac, K. Cranmer, L. Daudet, M. Schuld, N. Tishby, L. Vogt-Maranto, and L. Zdeborová, Rev. Mod. Phys. 91, 045002 (2019).
- M. Krenn, M. Erhard, and A. Zeilinger, Nat. Rev. Phys. 2, 649 (2020).
- M. Krenn, J. S. Kottmann, N. Tischler, and A. Aspuru-Guzik, Phys. Rev. X 11, 031044 (2021).
- A. A. Melnikov, P. Sekatski, and N. Sangouard, Phys. Rev. Lett. 125, 160401 (2020).
- R. S. Sutton and A. G. Barto, Reinforcement Learning: An Introduction, 2nd ed. (MIT Press, Cambridge, MA, 2018).
- J. A. Nelder and R. Mead, Comput. J. 7, 308 (1965).
- I. Devetak and A. Winter, Proc. R. Soc. London A 461, 207 (2005).
- S. Pironio, A. Acín, N. Brunner, N. Gisin, S. Massar, and V. Scarani, New J. Phys. 11, 045021 (2009).
- M. Ho, P. Sekatski, E. Y.-Z. Tan, R. Renner, J.-D. Bancal, and N. Sangouard, Phys. Rev. Lett. 124, 230502 (2020).
- 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).
- G. Adesso, S. Ragy, and A. R. Lee, Open Syst. Inf. Dyn. 21, 1440001 (2014).
- J. B. Brask, arXiv:2102.05748.
- X. Valcarce, QuantumOpticalCircuits.jl, https://github.com/xvalcarce/QuantumOpticalCircuits.jl (2021).
- J. Bezanson, A. Edelman, S. Karpinski, and V. B. Shah, SIAM Rev. 59, 65 (2017).
- L. Weng, lilianweng.github.io (2018).
- J. Schulman, F. Wolski, P. Dhariwal, A. Radford, and O. Klimov, arXiv:1707.06347.
- 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.
- W. Vogel and D.-G. Welsch, Quantum Optics (Wiley, New York, 2006).
- J. Tian et al., https://github.com/JuliaReinforcementLearning/ReinforcementLearning.jl (2020).