Abstract
Boson sampling is a promising candidate for demonstrating quantum supremacy. The validation that involves judging whether a quantum setup outputs photons following the boson sampling model is an essential task in the experiments. However, the current validation methods may result in an incorrect conclusion being reached in realistic experiments, in which no ideally identical photons exist. Accordingly, this study proposes a slope-based approach, which is an extended Bayesian validation, to model the degree of photon indistinguishability. Through numerical simulations and performance evaluations, we demonstrate that the proposed approach can correctly validate boson sampling against the distribution of classical particles. In addition to offering a useful approach for validation, our research indicates that physicists should pay more attention to the quality of photon indistinguishability in boson sampling experiments.
Similar content being viewed by others
References
S. Aaronson, and A. Arkhipov, in The Computational Complexity of Linear Optics: STOC’11 Proceedings of the Forty-Third Annual ACM Symposium on Theory of Computing, San Jose, California, USA, June 06–08, 2011 (ACM, New York, 2011), pp. 333–342.
J. Preskill, arXiv: 1203.5813.
M. A. Nielsen, and I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, New York, 2011).
T. Xin, S. Huang, S. Lu, K. Li, Z. Luo, Z. Yin, J. Li, D. Lu, G. Long, and B. Zeng, Sci. Bull. 63, 17 (2018).
W. C. Peng, B. N. Wang, F. Hu, Y. J. Wang, X. J. Fang, X. Y. Chen, and C. Wang, Sci. China-Phys. Mech. Astron. 62, 060311 (2019).
J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X. M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, Science 339, 798 (2013), arXiv: 1212.2622.
M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, Science 339, 794 (2013), arXiv: 1212.2234.
M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, Nat. Photon. 7, 540 (2013), arXiv: 1212.2240.
A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, Nat. Photon. 7, 545 (2013), arXiv: 1212.2783.
N. Spagnolo, C. Vitelli, M. Bentivegna, D. J. Brod, A. Crespi, F. Flamini, S. Giacomini, G. Milani, R. Ramponi, P. Mataloni, R. Osellame, E. F. Galvão, and F. Sciarrino, Nat. Photon. 8, 615 (2014), arXiv: 1311.1622.
M. Bentivegna, N. Spagnolo, C. Vitelli, F. Flamini, N. Viggianiello, L. Latmiral, P. Mataloni, D. J. Brod, E. F. Galvão, A. Crespi, R. Ramponi, R. Osellame, and F. Sciarrino, Sci. Adv. 1, e1400255 (2015), arXiv: 1505.03708.
H. Wang, W. Li, X. Jiang, Y. M. He, Y. H. Li, X. Ding, M. C. Chen, J. Qin, C. Z. Peng, C. Schneider, M. Kamp, W. J. Zhang, H. Li, L. X. You, Z. Wang, J. P. Dowling, S. Höfling, C. Y. Lu, and J. W. Pan, Phys. Rev. Lett. 120, 230502 (2018), arXiv: 1801.08282.
H. S. Zhong, Y. Li, W. Li, L. C. Peng, Z. E. Su, Y. Hu, Y. M. He, X. Ding, W. Zhang, H. Li, L. Zhang, Z. Wang, L. You, X. L. Wang, X. Jiang, L. Li, Y. A. Chen, N. L. Liu, C. Y. Lu, and J. W. Pan, Phys. Rev. Lett. 121, 250505 (2018), arXiv: 1810.04823.
L. G. Valiant, Theor. Comput. Sci. 8, 189 (1979).
S. Scheel, and S. Y. Buhmann, Acta Phys. Slovaca 58, 675 (2008), arXiv: 0902.3586.
S. Aaronson, and L. Chen, in Complexity-theoretic Foundations of Quantum Supremacy Experiments: 32nd Computational Complexity Conference (CCC 2017), editor by R. O’Donnell (Schloss Dagstuhl, Dagstuhl, 2017), pp. 22:1–22:67.
J. Wu, Y. Liu, B. Zhang, X. Jin, Y. Wang, H. Wang, and X. Yang, Natl. Sci. Rev. 5, 715 (2018).
A. Neville, C. Sparrow, R. Clifford, E. Johnston, P. M. Birchall, A. Montanaro, and A. Laing, Nat. Phys. 13, 1153 (2017).
C. Guo, Y. Liu, M. Xiong, S. Xue, X. Fu, A. Huang, X. Qiang, P. Xu, J. Liu, S. Zheng, H. Huang, M. Deng, D. Poletti, W. Bao, and J. Wu, Phys. Rev. Lett. 123, 190501 (2019).
H. L. Huang, W. S. Bao, and C. Guo, Phys. Rev. A 100, 032305 (2019), arXiv: 1812.06614.
Z. Y. Chen, Q. Zhou, C. Xue, X. Yang, G. C. Guo, and G. P. Guo, Sci. Bull. 63, 964 (2018).
N. Mahmud, E. El-Araby, and D. Caliga, Quantum Eng. 1, 1350045 (2019).
M. Bentivegna, N. Spagnolo, C. Vitelli, D. J. Brod, A. Crespi, F. Flamini, R. Ramponi, P. Mataloni, R. Osellame, E. F. Galvão, and F. Sciarrino, Int. J. Quantum Inform. 12, 1560028 (2014).
S. Aaronson, and A. Arkhipov, Quantum Inf. Comput. 14, 1383 (2014).
I. Agresti, N. Viggianiello, F. Flamini, N. Spagnolo, A. Crespi, R. Osellame, N. Wiebe, and F. Sciarrino, Phys. Rev. X 9, 011013 (2019).
H. Wang, Y. He, Y. H. Li, Z. E. Su, B. Li, H. L. Huang, X. Ding, M. C. Chen, C. Liu, J. Qin, J. P. Li, Y. M. He, C. Schneider, M. Kamp, C. Z. Peng, S. Höfling, C. Y. Lu, and J. W. Pan, Nat. Photon. 11, 361 (2017).
H. S. Zhong, L. C. Peng, Y. Li, Y. Hu, W. Li, J. Qin, D. Wu, W. Zhang, H. Li, L. Zhang, Z. Wang, L. You, X. Jiang, L. Li, N. L. Liu, J. P. Dowling, C. Y. Lu, and J. W. Pan, Sci. Bull. 64, 511 (2019).
X. Sun, P. Wang, B. Sheng, T. Wang, Z. Chen, K. Gao, M. Li, J. Zhang, W. Ge, Y. Arakawa, B. Shen, M. Holmes, and X. Wang, Quantum Eng. 1, e20 (2019).
N. Viggianiello, F. Flamini, M. Bentivegna, N. Spagnolo, A. Crespi, D. J. Brod, E. F. Galvão, R. Osellame, and F. Sciarrino, Sci. Bull. 63, 1470 (2018).
J. J. Renema, A. Menssen, W. R. Clements, G. Triginer, W. S. Kolthammer, and I. A. Walmsley, Phys. Rev. Lett. 120, 220502 (2018), arXiv: 1707.02793.
M. Jerrum, A. Sinclair, and E. Vigoda, J. ACM 51, 671 (2004).
S. Chin, and J. Huh, arXiv: 1807.11187.
M. C. Tichy, Phys. Rev. A 91, 022316 (2015), arXiv: 1410.7687.
V. S. Shchesnovich, Int. J. Quantum Inform. 11, 1350045 (2013), arXiv: 1304.6675.
J. D. Urbina, J. Kuipers, S. Matsumoto, Q. Hummel, and K. Richter, Phys. Rev. Lett. 116, 100401 (2016), arXiv: 1409.1558.
X. Liao, L. Xiao, C. Yang, and Y. Lu, Front. Comput. Sci. 8, 345 (2014).
X. Liao, Front. Comput. Sci. 8, 343 (2014).
E. Bax, and J. Franklin, A Finite-Difference Sieve to Compute the Permanent, Technical Report, CalTech-CS-TR-96-04 (1996).
J. S. Liu, Stat. Comput. 6, 113 (1996).
M. C. Tichy, M. Tiersch, F. de Melo, F. Mintert, and A. Buchleitner, Phys. Rev. Lett. 104, 220405 (2010), arXiv: 1002.5038.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Dai, Z., Liu, Y., Xu, P. et al. A Bayesian validation approach to practical boson sampling. Sci. China Phys. Mech. Astron. 63, 250311 (2020). https://doi.org/10.1007/s11433-019-1440-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11433-019-1440-y