Abstract

Random number generation is an important task in modern science. A variety of quantum random number generation protocols have been proposed and realized. These protocols, however, are all based on two parties. Based on the weak measurement technique, we propose and realize a quantum random number generator among three observers. The violation of a double classical dimension witness based on the determinant value is first observed in experiment. With the heralding single-photon source, our experimental setup attains the independent assumption and the dimension assumption, which means our setup is semi-device-independent (DI). This Letter sheds new light on generating DI-type random number among multi-user and it has potential application prospect on the quantum cryptography and quantum random number in network environment.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Proof-of-principle implementation of a quantum random number generator with independent devices and a dimension witness

Xue-Bi An, Yun-Guang Han, Zhen-Qiang Yin, Wei Huang, Wei Chen, Shuang Wang, Guang-Can Guo, and Zheng-Fu Han
Opt. Lett. 42(20) 4139-4142 (2017)

Finite-key bound for semi-device-independent quantum key distribution

Chun Zhou, Peng Xu, Wan-Su Bao, Yang Wang, Yingying Zhang, Mu-Sheng Jiang, and Hong-Wei Li
Opt. Express 25(15) 16971-16980 (2017)

Experimental fast quantum random number generation using high-dimensional entanglement with entropy monitoring

Feihu Xu, Jeffrey H. Shapiro, and Franco N. C. Wong
Optica 3(11) 1266-1269 (2016)

References

  • View by:
  • |
  • |
  • |

  1. D. Branning and M. Bermudez, J. Opt. Soc. Am. B 27, 1594 (2010).
    [Crossref]
  2. J. Rarity, P. Owens, and P. Tapster, J. Mod. Opt. 41, 2435 (1994).
    [Crossref]
  3. J. F. Dynes, Z. L. Yuan, A. W. Sharpe, and A. J. Shields, Appl. Phys. Lett. 93, 031109 (2008).
    [Crossref]
  4. B. Qi, Y. M. Chi, H. K. Lo, and L. Qian, Opt. Lett. 35, 312 (2010).
    [Crossref]
  5. C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
    [Crossref]
  6. D. Frauchiger, R. Renner, and M. Troyer, “True randomness from realistic quantum devices,” arXiv: 1311.4547 (2013).
  7. X. Ma, F. Xu, H. Xu, X. Tan, B. Qi, and H. K. Lo, Phys. Rev. A 87, 062327 (2013).
    [Crossref]
  8. S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
    [Crossref]
  9. N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Rev. Mod. Phys. 86, 419 (2014).
    [Crossref]
  10. H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
    [Crossref]
  11. H. W. Li, M. Pawłowski, Z. Q. Yin, G. C. Guo, and Z. F. Han, Phys. Rev. A 85, 052308 (2012).
    [Crossref]
  12. M. Pawłowski and N. Brunner, Phys. Rev. A 84, 010302 (2011).
    [Crossref]
  13. J. Bowles, M. T. Quintino, and N. Brunner, Phys. Rev. Lett. 112, 140407 (2014).
    [Crossref]
  14. T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
    [Crossref]
  15. J. Ahrens, P. Badziąg, M. Pawłowski, M. Żukowski, and M. Bourennane, Phys. Rev. Lett. 112, 140401 (2014).
    [Crossref]
  16. Y. G. Han, Z. Q. Yin, H. W. Li, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Phys. Rev. A 93, 032332 (2016).
    [Crossref]
  17. X. B. An, Y. G. Han, Z. Q. Yin, W. Huang, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Opt. Lett. 42, 4139 (2017).
    [Crossref]
  18. Z. Cao, H. Zhou, and X. Ma, New J. Phys. 17, 125011 (2015).
    [Crossref]
  19. Z. Cao, H. Zhou, X. Yuan, and X. Ma, Phys. Rev. X 6, 011020 (2016).
    [Crossref]
  20. J. B. Brask, A. Martin, W. Esposito, R. Houlmann, J. Bowles, H. Zbinden, and N. Brunner, Phys. Rev. Appl. 7, 054018 (2017).
    [Crossref]
  21. R. Gallego, N. Brunner, C. Hadley, and A. Acín, Phys. Rev. Lett. 105, 230501 (2010).
    [Crossref]
  22. J. Bowles, N. Brunner, and M. Pawłowski, Phys. Rev. A 92, 022351 (2015).
    [Crossref]
  23. R. Silva, N. Gisin, Y. Guryanova, and S. Popescu, Phys. Rev. Lett. 114, 250401 (2015).
    [Crossref]
  24. M. J. Hu, Z. Y. Zhou, X. M. Hu, C. F. Li, G. C. Guo, and Y. S. Zhang, “Experimental sharing of nonlocality among multiple observers with one entangled pair via optimal weak measurements,” arXiv: 1609.01863 (2016).
  25. M. Schiavon, L. Calderaro, M. Pittaluga, G. Vallone, and P. Villoresi, Quantum Sci. Technol. 2, 015010 (2017).
    [Crossref]
  26. F. J. Curchod, M. Johansson, R. Augusiak, M. J. Hoban, P. Wittek, and A. Acín, Phys. Rev. A 95, 020102(R) (2017).
    [Crossref]
  27. H. W. Li, Y. S. Zhang, X. B. An, Z. F. Han, and G. C. Guo, Commun. Phys. 1, 10 (2018).
    [Crossref]
  28. R. König, R. Renner, and C. Schaffner, IEEE Trans. Inf. Theory 55, 4337 (2009).
    [Crossref]
  29. O. Hosten and P. Kwiat, Science 319, 787 (2008).
    [Crossref]
  30. P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
    [Crossref]
  31. X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
    [Crossref]
  32. J. S. Lundeen, B. Sutherland, A. Patel, C. Stewart, and C. Bamber, Nature 474, 188 (2011).
    [Crossref]
  33. J. S. Lundeen and C. Bamber, Phys. Rev. Lett. 108, 070402 (2012).
    [Crossref]
  34. Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, Phys. Lett. A 301, 130 (2002).
    [Crossref]

2018 (1)

H. W. Li, Y. S. Zhang, X. B. An, Z. F. Han, and G. C. Guo, Commun. Phys. 1, 10 (2018).
[Crossref]

2017 (4)

J. B. Brask, A. Martin, W. Esposito, R. Houlmann, J. Bowles, H. Zbinden, and N. Brunner, Phys. Rev. Appl. 7, 054018 (2017).
[Crossref]

M. Schiavon, L. Calderaro, M. Pittaluga, G. Vallone, and P. Villoresi, Quantum Sci. Technol. 2, 015010 (2017).
[Crossref]

F. J. Curchod, M. Johansson, R. Augusiak, M. J. Hoban, P. Wittek, and A. Acín, Phys. Rev. A 95, 020102(R) (2017).
[Crossref]

X. B. An, Y. G. Han, Z. Q. Yin, W. Huang, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Opt. Lett. 42, 4139 (2017).
[Crossref]

2016 (2)

Y. G. Han, Z. Q. Yin, H. W. Li, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Phys. Rev. A 93, 032332 (2016).
[Crossref]

Z. Cao, H. Zhou, X. Yuan, and X. Ma, Phys. Rev. X 6, 011020 (2016).
[Crossref]

2015 (4)

J. Bowles, N. Brunner, and M. Pawłowski, Phys. Rev. A 92, 022351 (2015).
[Crossref]

R. Silva, N. Gisin, Y. Guryanova, and S. Popescu, Phys. Rev. Lett. 114, 250401 (2015).
[Crossref]

Z. Cao, H. Zhou, and X. Ma, New J. Phys. 17, 125011 (2015).
[Crossref]

T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
[Crossref]

2014 (3)

J. Ahrens, P. Badziąg, M. Pawłowski, M. Żukowski, and M. Bourennane, Phys. Rev. Lett. 112, 140401 (2014).
[Crossref]

J. Bowles, M. T. Quintino, and N. Brunner, Phys. Rev. Lett. 112, 140407 (2014).
[Crossref]

N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Rev. Mod. Phys. 86, 419 (2014).
[Crossref]

2013 (2)

X. Ma, F. Xu, H. Xu, X. Tan, B. Qi, and H. K. Lo, Phys. Rev. A 87, 062327 (2013).
[Crossref]

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

2012 (2)

J. S. Lundeen and C. Bamber, Phys. Rev. Lett. 108, 070402 (2012).
[Crossref]

H. W. Li, M. Pawłowski, Z. Q. Yin, G. C. Guo, and Z. F. Han, Phys. Rev. A 85, 052308 (2012).
[Crossref]

2011 (3)

M. Pawłowski and N. Brunner, Phys. Rev. A 84, 010302 (2011).
[Crossref]

H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
[Crossref]

J. S. Lundeen, B. Sutherland, A. Patel, C. Stewart, and C. Bamber, Nature 474, 188 (2011).
[Crossref]

2010 (5)

R. Gallego, N. Brunner, C. Hadley, and A. Acín, Phys. Rev. Lett. 105, 230501 (2010).
[Crossref]

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

D. Branning and M. Bermudez, J. Opt. Soc. Am. B 27, 1594 (2010).
[Crossref]

B. Qi, Y. M. Chi, H. K. Lo, and L. Qian, Opt. Lett. 35, 312 (2010).
[Crossref]

C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
[Crossref]

2009 (2)

R. König, R. Renner, and C. Schaffner, IEEE Trans. Inf. Theory 55, 4337 (2009).
[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[Crossref]

2008 (2)

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[Crossref]

J. F. Dynes, Z. L. Yuan, A. W. Sharpe, and A. J. Shields, Appl. Phys. Lett. 93, 031109 (2008).
[Crossref]

2002 (1)

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, Phys. Lett. A 301, 130 (2002).
[Crossref]

1994 (1)

J. Rarity, P. Owens, and P. Tapster, J. Mod. Opt. 41, 2435 (1994).
[Crossref]

Acín, A.

F. J. Curchod, M. Johansson, R. Augusiak, M. J. Hoban, P. Wittek, and A. Acín, Phys. Rev. A 95, 020102(R) (2017).
[Crossref]

R. Gallego, N. Brunner, C. Hadley, and A. Acín, Phys. Rev. Lett. 105, 230501 (2010).
[Crossref]

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Aharonov, Y.

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, Phys. Lett. A 301, 130 (2002).
[Crossref]

Ahrens, J.

J. Ahrens, P. Badziąg, M. Pawłowski, M. Żukowski, and M. Bourennane, Phys. Rev. Lett. 112, 140401 (2014).
[Crossref]

An, X. B.

Andersen, U. L.

C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
[Crossref]

Augusiak, R.

F. J. Curchod, M. Johansson, R. Augusiak, M. J. Hoban, P. Wittek, and A. Acín, Phys. Rev. A 95, 020102(R) (2017).
[Crossref]

Badziag, P.

J. Ahrens, P. Badziąg, M. Pawłowski, M. Żukowski, and M. Bourennane, Phys. Rev. Lett. 112, 140401 (2014).
[Crossref]

Bamber, C.

J. S. Lundeen and C. Bamber, Phys. Rev. Lett. 108, 070402 (2012).
[Crossref]

J. S. Lundeen, B. Sutherland, A. Patel, C. Stewart, and C. Bamber, Nature 474, 188 (2011).
[Crossref]

Bermudez, M.

Botero, A.

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, Phys. Lett. A 301, 130 (2002).
[Crossref]

Bourennane, M.

J. Ahrens, P. Badziąg, M. Pawłowski, M. Żukowski, and M. Bourennane, Phys. Rev. Lett. 112, 140401 (2014).
[Crossref]

Bowles, J.

J. B. Brask, A. Martin, W. Esposito, R. Houlmann, J. Bowles, H. Zbinden, and N. Brunner, Phys. Rev. Appl. 7, 054018 (2017).
[Crossref]

J. Bowles, N. Brunner, and M. Pawłowski, Phys. Rev. A 92, 022351 (2015).
[Crossref]

T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
[Crossref]

J. Bowles, M. T. Quintino, and N. Brunner, Phys. Rev. Lett. 112, 140407 (2014).
[Crossref]

Boyer de la Giroday, A.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Branning, D.

Brask, J. B.

J. B. Brask, A. Martin, W. Esposito, R. Houlmann, J. Bowles, H. Zbinden, and N. Brunner, Phys. Rev. Appl. 7, 054018 (2017).
[Crossref]

T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
[Crossref]

Brunner, N.

J. B. Brask, A. Martin, W. Esposito, R. Houlmann, J. Bowles, H. Zbinden, and N. Brunner, Phys. Rev. Appl. 7, 054018 (2017).
[Crossref]

J. Bowles, N. Brunner, and M. Pawłowski, Phys. Rev. A 92, 022351 (2015).
[Crossref]

T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
[Crossref]

J. Bowles, M. T. Quintino, and N. Brunner, Phys. Rev. Lett. 112, 140407 (2014).
[Crossref]

N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Rev. Mod. Phys. 86, 419 (2014).
[Crossref]

M. Pawłowski and N. Brunner, Phys. Rev. A 84, 010302 (2011).
[Crossref]

R. Gallego, N. Brunner, C. Hadley, and A. Acín, Phys. Rev. Lett. 105, 230501 (2010).
[Crossref]

Calderaro, L.

M. Schiavon, L. Calderaro, M. Pittaluga, G. Vallone, and P. Villoresi, Quantum Sci. Technol. 2, 015010 (2017).
[Crossref]

Cao, Z.

Z. Cao, H. Zhou, X. Yuan, and X. Ma, Phys. Rev. X 6, 011020 (2016).
[Crossref]

Z. Cao, H. Zhou, and X. Ma, New J. Phys. 17, 125011 (2015).
[Crossref]

Cavalcanti, D.

N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Rev. Mod. Phys. 86, 419 (2014).
[Crossref]

Chen, W.

X. B. An, Y. G. Han, Z. Q. Yin, W. Huang, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Opt. Lett. 42, 4139 (2017).
[Crossref]

Y. G. Han, Z. Q. Yin, H. W. Li, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Phys. Rev. A 93, 032332 (2016).
[Crossref]

H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
[Crossref]

Chi, Y. M.

Curchod, F. J.

F. J. Curchod, M. Johansson, R. Augusiak, M. J. Hoban, P. Wittek, and A. Acín, Phys. Rev. A 95, 020102(R) (2017).
[Crossref]

Dixon, P. B.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[Crossref]

Dong, R.

C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
[Crossref]

Dynes, J. F.

J. F. Dynes, Z. L. Yuan, A. W. Sharpe, and A. J. Shields, Appl. Phys. Lett. 93, 031109 (2008).
[Crossref]

Esposito, W.

J. B. Brask, A. Martin, W. Esposito, R. Houlmann, J. Bowles, H. Zbinden, and N. Brunner, Phys. Rev. Appl. 7, 054018 (2017).
[Crossref]

Frauchiger, D.

D. Frauchiger, R. Renner, and M. Troyer, “True randomness from realistic quantum devices,” arXiv: 1311.4547 (2013).

Gabriel, C.

C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
[Crossref]

Gallego, R.

R. Gallego, N. Brunner, C. Hadley, and A. Acín, Phys. Rev. Lett. 105, 230501 (2010).
[Crossref]

Gisin, N.

R. Silva, N. Gisin, Y. Guryanova, and S. Popescu, Phys. Rev. Lett. 114, 250401 (2015).
[Crossref]

Guo, G. C.

H. W. Li, Y. S. Zhang, X. B. An, Z. F. Han, and G. C. Guo, Commun. Phys. 1, 10 (2018).
[Crossref]

X. B. An, Y. G. Han, Z. Q. Yin, W. Huang, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Opt. Lett. 42, 4139 (2017).
[Crossref]

Y. G. Han, Z. Q. Yin, H. W. Li, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Phys. Rev. A 93, 032332 (2016).
[Crossref]

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

H. W. Li, M. Pawłowski, Z. Q. Yin, G. C. Guo, and Z. F. Han, Phys. Rev. A 85, 052308 (2012).
[Crossref]

H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
[Crossref]

M. J. Hu, Z. Y. Zhou, X. M. Hu, C. F. Li, G. C. Guo, and Y. S. Zhang, “Experimental sharing of nonlocality among multiple observers with one entangled pair via optimal weak measurements,” arXiv: 1609.01863 (2016).

Guryanova, Y.

R. Silva, N. Gisin, Y. Guryanova, and S. Popescu, Phys. Rev. Lett. 114, 250401 (2015).
[Crossref]

Hadley, C.

R. Gallego, N. Brunner, C. Hadley, and A. Acín, Phys. Rev. Lett. 105, 230501 (2010).
[Crossref]

Han, Y. G.

X. B. An, Y. G. Han, Z. Q. Yin, W. Huang, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Opt. Lett. 42, 4139 (2017).
[Crossref]

Y. G. Han, Z. Q. Yin, H. W. Li, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Phys. Rev. A 93, 032332 (2016).
[Crossref]

Han, Z. F.

H. W. Li, Y. S. Zhang, X. B. An, Z. F. Han, and G. C. Guo, Commun. Phys. 1, 10 (2018).
[Crossref]

X. B. An, Y. G. Han, Z. Q. Yin, W. Huang, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Opt. Lett. 42, 4139 (2017).
[Crossref]

Y. G. Han, Z. Q. Yin, H. W. Li, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Phys. Rev. A 93, 032332 (2016).
[Crossref]

H. W. Li, M. Pawłowski, Z. Q. Yin, G. C. Guo, and Z. F. Han, Phys. Rev. A 85, 052308 (2012).
[Crossref]

H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
[Crossref]

Hayes, D.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Hoban, M. J.

F. J. Curchod, M. Johansson, R. Augusiak, M. J. Hoban, P. Wittek, and A. Acín, Phys. Rev. A 95, 020102(R) (2017).
[Crossref]

Hosten, O.

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[Crossref]

Houlmann, R.

J. B. Brask, A. Martin, W. Esposito, R. Houlmann, J. Bowles, H. Zbinden, and N. Brunner, Phys. Rev. Appl. 7, 054018 (2017).
[Crossref]

Howell, J. C.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[Crossref]

Hu, M. J.

M. J. Hu, Z. Y. Zhou, X. M. Hu, C. F. Li, G. C. Guo, and Y. S. Zhang, “Experimental sharing of nonlocality among multiple observers with one entangled pair via optimal weak measurements,” arXiv: 1609.01863 (2016).

Hu, X. M.

M. J. Hu, Z. Y. Zhou, X. M. Hu, C. F. Li, G. C. Guo, and Y. S. Zhang, “Experimental sharing of nonlocality among multiple observers with one entangled pair via optimal weak measurements,” arXiv: 1609.01863 (2016).

Huang, W.

Johansson, M.

F. J. Curchod, M. Johansson, R. Augusiak, M. J. Hoban, P. Wittek, and A. Acín, Phys. Rev. A 95, 020102(R) (2017).
[Crossref]

Jordan, A. N.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[Crossref]

Kedem, Y.

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

König, R.

R. König, R. Renner, and C. Schaffner, IEEE Trans. Inf. Theory 55, 4337 (2009).
[Crossref]

Kwiat, P.

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[Crossref]

Lavigne, Q.

T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
[Crossref]

Leuchs, G.

C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
[Crossref]

Li, C. F.

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

M. J. Hu, Z. Y. Zhou, X. M. Hu, C. F. Li, G. C. Guo, and Y. S. Zhang, “Experimental sharing of nonlocality among multiple observers with one entangled pair via optimal weak measurements,” arXiv: 1609.01863 (2016).

Li, H. W.

H. W. Li, Y. S. Zhang, X. B. An, Z. F. Han, and G. C. Guo, Commun. Phys. 1, 10 (2018).
[Crossref]

Y. G. Han, Z. Q. Yin, H. W. Li, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Phys. Rev. A 93, 032332 (2016).
[Crossref]

H. W. Li, M. Pawłowski, Z. Q. Yin, G. C. Guo, and Z. F. Han, Phys. Rev. A 85, 052308 (2012).
[Crossref]

H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
[Crossref]

Lim, C. C. W.

T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
[Crossref]

Lo, H. K.

X. Ma, F. Xu, H. Xu, X. Tan, B. Qi, and H. K. Lo, Phys. Rev. A 87, 062327 (2013).
[Crossref]

B. Qi, Y. M. Chi, H. K. Lo, and L. Qian, Opt. Lett. 35, 312 (2010).
[Crossref]

Lundeen, J. S.

J. S. Lundeen and C. Bamber, Phys. Rev. Lett. 108, 070402 (2012).
[Crossref]

J. S. Lundeen, B. Sutherland, A. Patel, C. Stewart, and C. Bamber, Nature 474, 188 (2011).
[Crossref]

Lunghi, T.

T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
[Crossref]

Luo, L.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Ma, X.

Z. Cao, H. Zhou, X. Yuan, and X. Ma, Phys. Rev. X 6, 011020 (2016).
[Crossref]

Z. Cao, H. Zhou, and X. Ma, New J. Phys. 17, 125011 (2015).
[Crossref]

X. Ma, F. Xu, H. Xu, X. Tan, B. Qi, and H. K. Lo, Phys. Rev. A 87, 062327 (2013).
[Crossref]

Manning, T. A.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Marquardt, C.

C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
[Crossref]

Martin, A.

J. B. Brask, A. Martin, W. Esposito, R. Houlmann, J. Bowles, H. Zbinden, and N. Brunner, Phys. Rev. Appl. 7, 054018 (2017).
[Crossref]

T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
[Crossref]

Massar, S.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Matsukevich, D. N.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Mauerer, W.

C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
[Crossref]

Maunz, P.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Monroe, C.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Olmschenk, S.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Owens, P.

J. Rarity, P. Owens, and P. Tapster, J. Mod. Opt. 41, 2435 (1994).
[Crossref]

Patel, A.

J. S. Lundeen, B. Sutherland, A. Patel, C. Stewart, and C. Bamber, Nature 474, 188 (2011).
[Crossref]

Pawlowski, M.

J. Bowles, N. Brunner, and M. Pawłowski, Phys. Rev. A 92, 022351 (2015).
[Crossref]

J. Ahrens, P. Badziąg, M. Pawłowski, M. Żukowski, and M. Bourennane, Phys. Rev. Lett. 112, 140401 (2014).
[Crossref]

H. W. Li, M. Pawłowski, Z. Q. Yin, G. C. Guo, and Z. F. Han, Phys. Rev. A 85, 052308 (2012).
[Crossref]

M. Pawłowski and N. Brunner, Phys. Rev. A 84, 010302 (2011).
[Crossref]

Pironio, S.

N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Rev. Mod. Phys. 86, 419 (2014).
[Crossref]

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

Pittaluga, M.

M. Schiavon, L. Calderaro, M. Pittaluga, G. Vallone, and P. Villoresi, Quantum Sci. Technol. 2, 015010 (2017).
[Crossref]

Popescu, S.

R. Silva, N. Gisin, Y. Guryanova, and S. Popescu, Phys. Rev. Lett. 114, 250401 (2015).
[Crossref]

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, Phys. Lett. A 301, 130 (2002).
[Crossref]

Qi, B.

X. Ma, F. Xu, H. Xu, X. Tan, B. Qi, and H. K. Lo, Phys. Rev. A 87, 062327 (2013).
[Crossref]

B. Qi, Y. M. Chi, H. K. Lo, and L. Qian, Opt. Lett. 35, 312 (2010).
[Crossref]

Qian, L.

Quintino, M. T.

J. Bowles, M. T. Quintino, and N. Brunner, Phys. Rev. Lett. 112, 140407 (2014).
[Crossref]

Rarity, J.

J. Rarity, P. Owens, and P. Tapster, J. Mod. Opt. 41, 2435 (1994).
[Crossref]

Renner, R.

R. König, R. Renner, and C. Schaffner, IEEE Trans. Inf. Theory 55, 4337 (2009).
[Crossref]

D. Frauchiger, R. Renner, and M. Troyer, “True randomness from realistic quantum devices,” arXiv: 1311.4547 (2013).

Reznik, B.

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, Phys. Lett. A 301, 130 (2002).
[Crossref]

Scarani, V.

N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Rev. Mod. Phys. 86, 419 (2014).
[Crossref]

Schaffner, C.

R. König, R. Renner, and C. Schaffner, IEEE Trans. Inf. Theory 55, 4337 (2009).
[Crossref]

Schiavon, M.

M. Schiavon, L. Calderaro, M. Pittaluga, G. Vallone, and P. Villoresi, Quantum Sci. Technol. 2, 015010 (2017).
[Crossref]

Sharpe, A. W.

J. F. Dynes, Z. L. Yuan, A. W. Sharpe, and A. J. Shields, Appl. Phys. Lett. 93, 031109 (2008).
[Crossref]

Shields, A. J.

J. F. Dynes, Z. L. Yuan, A. W. Sharpe, and A. J. Shields, Appl. Phys. Lett. 93, 031109 (2008).
[Crossref]

Silva, R.

R. Silva, N. Gisin, Y. Guryanova, and S. Popescu, Phys. Rev. Lett. 114, 250401 (2015).
[Crossref]

Starling, D. J.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[Crossref]

Stewart, C.

J. S. Lundeen, B. Sutherland, A. Patel, C. Stewart, and C. Bamber, Nature 474, 188 (2011).
[Crossref]

Sun, K.

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

Sutherland, B.

J. S. Lundeen, B. Sutherland, A. Patel, C. Stewart, and C. Bamber, Nature 474, 188 (2011).
[Crossref]

Sych, D.

C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
[Crossref]

Tan, X.

X. Ma, F. Xu, H. Xu, X. Tan, B. Qi, and H. K. Lo, Phys. Rev. A 87, 062327 (2013).
[Crossref]

Tapster, P.

J. Rarity, P. Owens, and P. Tapster, J. Mod. Opt. 41, 2435 (1994).
[Crossref]

Tollaksen, J.

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, Phys. Lett. A 301, 130 (2002).
[Crossref]

Troyer, M.

D. Frauchiger, R. Renner, and M. Troyer, “True randomness from realistic quantum devices,” arXiv: 1311.4547 (2013).

Vaidman, L.

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

Vallone, G.

M. Schiavon, L. Calderaro, M. Pittaluga, G. Vallone, and P. Villoresi, Quantum Sci. Technol. 2, 015010 (2017).
[Crossref]

Villoresi, P.

M. Schiavon, L. Calderaro, M. Pittaluga, G. Vallone, and P. Villoresi, Quantum Sci. Technol. 2, 015010 (2017).
[Crossref]

Wang, S.

X. B. An, Y. G. Han, Z. Q. Yin, W. Huang, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Opt. Lett. 42, 4139 (2017).
[Crossref]

Y. G. Han, Z. Q. Yin, H. W. Li, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Phys. Rev. A 93, 032332 (2016).
[Crossref]

H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
[Crossref]

Wehner, S.

N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Rev. Mod. Phys. 86, 419 (2014).
[Crossref]

Wittek, P.

F. J. Curchod, M. Johansson, R. Augusiak, M. J. Hoban, P. Wittek, and A. Acín, Phys. Rev. A 95, 020102(R) (2017).
[Crossref]

Wittmann, C.

C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
[Crossref]

Wu, Y. C.

H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
[Crossref]

Xu, F.

X. Ma, F. Xu, H. Xu, X. Tan, B. Qi, and H. K. Lo, Phys. Rev. A 87, 062327 (2013).
[Crossref]

Xu, H.

X. Ma, F. Xu, H. Xu, X. Tan, B. Qi, and H. K. Lo, Phys. Rev. A 87, 062327 (2013).
[Crossref]

Xu, X. Y.

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

Yin, Z. Q.

X. B. An, Y. G. Han, Z. Q. Yin, W. Huang, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Opt. Lett. 42, 4139 (2017).
[Crossref]

Y. G. Han, Z. Q. Yin, H. W. Li, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Phys. Rev. A 93, 032332 (2016).
[Crossref]

H. W. Li, M. Pawłowski, Z. Q. Yin, G. C. Guo, and Z. F. Han, Phys. Rev. A 85, 052308 (2012).
[Crossref]

H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
[Crossref]

Yuan, X.

Z. Cao, H. Zhou, X. Yuan, and X. Ma, Phys. Rev. X 6, 011020 (2016).
[Crossref]

Yuan, Z. L.

J. F. Dynes, Z. L. Yuan, A. W. Sharpe, and A. J. Shields, Appl. Phys. Lett. 93, 031109 (2008).
[Crossref]

Zbinden, H.

J. B. Brask, A. Martin, W. Esposito, R. Houlmann, J. Bowles, H. Zbinden, and N. Brunner, Phys. Rev. Appl. 7, 054018 (2017).
[Crossref]

T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
[Crossref]

Zhang, Y. S.

H. W. Li, Y. S. Zhang, X. B. An, Z. F. Han, and G. C. Guo, Commun. Phys. 1, 10 (2018).
[Crossref]

M. J. Hu, Z. Y. Zhou, X. M. Hu, C. F. Li, G. C. Guo, and Y. S. Zhang, “Experimental sharing of nonlocality among multiple observers with one entangled pair via optimal weak measurements,” arXiv: 1609.01863 (2016).

Zhou, H.

Z. Cao, H. Zhou, X. Yuan, and X. Ma, Phys. Rev. X 6, 011020 (2016).
[Crossref]

Z. Cao, H. Zhou, and X. Ma, New J. Phys. 17, 125011 (2015).
[Crossref]

Zhou, Z. Y.

M. J. Hu, Z. Y. Zhou, X. M. Hu, C. F. Li, G. C. Guo, and Y. S. Zhang, “Experimental sharing of nonlocality among multiple observers with one entangled pair via optimal weak measurements,” arXiv: 1609.01863 (2016).

Zou, X. B.

H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
[Crossref]

Zukowski, M.

J. Ahrens, P. Badziąg, M. Pawłowski, M. Żukowski, and M. Bourennane, Phys. Rev. Lett. 112, 140401 (2014).
[Crossref]

Appl. Phys. Lett. (1)

J. F. Dynes, Z. L. Yuan, A. W. Sharpe, and A. J. Shields, Appl. Phys. Lett. 93, 031109 (2008).
[Crossref]

Commun. Phys. (1)

H. W. Li, Y. S. Zhang, X. B. An, Z. F. Han, and G. C. Guo, Commun. Phys. 1, 10 (2018).
[Crossref]

IEEE Trans. Inf. Theory (1)

R. König, R. Renner, and C. Schaffner, IEEE Trans. Inf. Theory 55, 4337 (2009).
[Crossref]

J. Mod. Opt. (1)

J. Rarity, P. Owens, and P. Tapster, J. Mod. Opt. 41, 2435 (1994).
[Crossref]

J. Opt. Soc. Am. B (1)

Nat. Photonics (1)

C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, Nat. Photonics 4, 711 (2010).
[Crossref]

Nature (2)

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, Nature 464, 1021 (2010).
[Crossref]

J. S. Lundeen, B. Sutherland, A. Patel, C. Stewart, and C. Bamber, Nature 474, 188 (2011).
[Crossref]

New J. Phys. (1)

Z. Cao, H. Zhou, and X. Ma, New J. Phys. 17, 125011 (2015).
[Crossref]

Opt. Lett. (2)

Phys. Lett. A (1)

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, Phys. Lett. A 301, 130 (2002).
[Crossref]

Phys. Rev. A (7)

F. J. Curchod, M. Johansson, R. Augusiak, M. J. Hoban, P. Wittek, and A. Acín, Phys. Rev. A 95, 020102(R) (2017).
[Crossref]

J. Bowles, N. Brunner, and M. Pawłowski, Phys. Rev. A 92, 022351 (2015).
[Crossref]

X. Ma, F. Xu, H. Xu, X. Tan, B. Qi, and H. K. Lo, Phys. Rev. A 87, 062327 (2013).
[Crossref]

Y. G. Han, Z. Q. Yin, H. W. Li, W. Chen, S. Wang, G. C. Guo, and Z. F. Han, Phys. Rev. A 93, 032332 (2016).
[Crossref]

H. W. Li, Z. Q. Yin, Y. C. Wu, X. B. Zou, S. Wang, W. Chen, G. C. Guo, and Z. F. Han, Phys. Rev. A 84, 034301 (2011).
[Crossref]

H. W. Li, M. Pawłowski, Z. Q. Yin, G. C. Guo, and Z. F. Han, Phys. Rev. A 85, 052308 (2012).
[Crossref]

M. Pawłowski and N. Brunner, Phys. Rev. A 84, 010302 (2011).
[Crossref]

Phys. Rev. Appl. (1)

J. B. Brask, A. Martin, W. Esposito, R. Houlmann, J. Bowles, H. Zbinden, and N. Brunner, Phys. Rev. Appl. 7, 054018 (2017).
[Crossref]

Phys. Rev. Lett. (8)

R. Gallego, N. Brunner, C. Hadley, and A. Acín, Phys. Rev. Lett. 105, 230501 (2010).
[Crossref]

R. Silva, N. Gisin, Y. Guryanova, and S. Popescu, Phys. Rev. Lett. 114, 250401 (2015).
[Crossref]

J. S. Lundeen and C. Bamber, Phys. Rev. Lett. 108, 070402 (2012).
[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[Crossref]

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

J. Bowles, M. T. Quintino, and N. Brunner, Phys. Rev. Lett. 112, 140407 (2014).
[Crossref]

T. Lunghi, J. B. Brask, C. C. W. Lim, Q. Lavigne, J. Bowles, A. Martin, H. Zbinden, and N. Brunner, Phys. Rev. Lett. 114, 150501 (2015).
[Crossref]

J. Ahrens, P. Badziąg, M. Pawłowski, M. Żukowski, and M. Bourennane, Phys. Rev. Lett. 112, 140401 (2014).
[Crossref]

Phys. Rev. X (1)

Z. Cao, H. Zhou, X. Yuan, and X. Ma, Phys. Rev. X 6, 011020 (2016).
[Crossref]

Quantum Sci. Technol. (1)

M. Schiavon, L. Calderaro, M. Pittaluga, G. Vallone, and P. Villoresi, Quantum Sci. Technol. 2, 015010 (2017).
[Crossref]

Rev. Mod. Phys. (1)

N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Rev. Mod. Phys. 86, 419 (2014).
[Crossref]

Science (1)

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[Crossref]

Other (2)

M. J. Hu, Z. Y. Zhou, X. M. Hu, C. F. Li, G. C. Guo, and Y. S. Zhang, “Experimental sharing of nonlocality among multiple observers with one entangled pair via optimal weak measurements,” arXiv: 1609.01863 (2016).

D. Frauchiger, R. Renner, and M. Troyer, “True randomness from realistic quantum devices,” arXiv: 1311.4547 (2013).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1. (a) Schematic illustration of the previous semi-DI-QRNG. (b) Circuit model of the three-observer classical dimension witness violation. Alice prepares the two-dimensional quantum state ρx, and Bob and Charlie apply the two-dimensional projective measurement and weak measurement, respectively. Here is the NOT operation.
Fig. 2.
Fig. 2. Experimental setup. LBO, LiB3O5 crystal; BBO, β-BaB2O4 crystal; HWP, half-wave plate; filter, 3 nm bandpass interference filter; EOM, electro-optic modulator; PBS, polarization beam splitter; SPCM, single-photon counting module; BD, beam displacer. HWP1 are rotated at θ2 and HWP2 is π4θ2.
Fig. 3.
Fig. 3. Min-entropy of the experimental data and theoretical curves with noise. The purple line and purple squares are the min-entropy between Alice and Bob. The blue line and blue dots are the min-entropy between Alice and Charlie.

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

W=|p(1|00)p(1|10)p(1|20)p(1|30)p(1|01)p(1|11)p(1|21)p(1|31)|.
|ψ|0|ϕ1=α|H|0+β|V|1.
|ϕ1|ϕ2=α(cosθ|H+sinθ|V)|0+β(sinθ|H+cosθ|V)|1.
|ϕ2|ϕ3=α|H|ϕH+β|V|ϕV.
|ϕH=cosθ|0+sinθ|1|ϕV=sinθ|0+cosθ|1.
WAB=(12sin(2θ)+12)2,
WAC=cos2(2θ).
WAB=(12sin(2θ)+122pnoise)24pnoise2WAC=(cos(2θ)2pnoise)24pnoise2.