One sided indeterminism alone is not a useful resource to simulate any nonlocal correlation

详细信息    查看全文

• 作者：Biswajit Paul (1)
  Kaushiki Mukherjee (2)
  Debasis Sarkar (2)
  
• 关键词：Nonlocal correlation ; Bell inequality ; No signaling
• 刊名：Quantum Information Processing
• 出版年：2014
• 出版时间：August 2014
• 年：2014
• 卷：13
• 期：8
• 页码：1687-1699
• 全文大小：541 KB
• 参考文献：1. Bell, J.S.: Physics 1, 195 (1964)
  2. Jarrett, J.P.: Nous 18(4), 569 (1984) CrossRef
  3. Seevinck, M.P.: Parts and Wholes, arXiv:0811.1027
  4. Branciard, C., et al.: Nat. Phys. 4, 681 (2008) CrossRef
  5. Barrett, J., Gisin, N.: Phys. Rev. Lett. 106, 100406 (2011)
  6. Hall, M.J.W.: Phys. Rev. Lett. 105, 250404 (2010) CrossRef
  7. Hall, M.J.W.: Phys. Rev. A 82, 062117 (2010) CrossRef
  8. Hall, M.J.W.: Phys. Rev. A 84, 022102 (2011) 022102" target="_blank" title="It opens in new window">CrossRef
  9. Kar, G., Gazi, M.D.R., Banik, M., Das, S., Rai, A., Kunkri, S.: J. Phys. A: Math. Theor. 44, 152002 (2011) CrossRef
  10. Banik, M., Gazi, M.D.R., Das, S., Rai, A., Kunkri, S.: J. Phys. A: Math Theor. 45, 475302 (2012) CrossRef
  11. Pawlowski, M., Kofler, J., Paterek, T., Seevinck, M., Brukner, C.: New J. Phys. 12, 083051 (2010) CrossRef
  12. Paul, B., Mukherjee, K., Sarkar, D.: Phys. Rev. A 88, 014104 (2013) CrossRef
  13. Banik, M.: Phys. Rev. A 88, 032118 (2013) CrossRef
  14. Roy, A., Mukherjee, A., Bhattacharya, S. S., Banik, M., Das, S.: arXiv:1310.8570
  15. Massar, S., Bacon, D., Cerf, N., Cleve, R.: Phys. Rev. A 63, 052305 (2001) CrossRef
  16. Toner, B.F., Bacon, D.: Phys. Rev. Lett. 91, 187904 (2003) CrossRef
  17. Degorre, J., Laplante, S., Roland, J.: Phys. Rev. A 72, 062314 (2005) CrossRef
  18. Cerf, N.J., Gisin, N., Massar, S., Popescu, S.: Phys. Rev. Lett. 94, 220403 (2005) CrossRef
  19. Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Phys. Rev. Lett. 23, 880-84 (1969) CrossRef
  20. Tsirelson, B.: Lett. Math. Phys. 4, 93 (1980) CrossRef
  
• 作者单位：Biswajit Paul (1)
  Kaushiki Mukherjee (2)
  Debasis Sarkar (2)
  
  1. Department of Mathematics, St.Thomas-College of Engineering and Technology, 4, Diamond Harbour Road, Alipore, Kolkata, 700023, India
  2. Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata, 700009, India
  
• ISSN：1573-1332

文摘

Determinism, no signaling and measurement independence are some of the constraints required for framing Bell inequality. Any model simulating nonlocal correlations must either individually or jointly give up these constraints. Recently Hall (Phys Review A, 84:022102, 2011) derived different forms of Bell inequalities under the assumption of individual or joint relaxation of those constraints on both (i.e., two) the sides of a bipartite system. In this work, we have investigated whether one sided relaxation can also be a useful resource for simulating nonlocal correlations or not. We have derived Bell-type inequalities under the assumption of joint relaxation of these constraints only by one party of a bipartite system. Interestingly, we found that any amount of randomness in correlations of one party in absence of signaling between two parties is incapable of showing any sort of Bell–CHSH violation, whereas signaling and measurement dependence individually can simulate any nonlocal correlations. We have also completed the proof of a recent conjecture due to Hall (Phys. Rev. A 82:062117, 2010; Phys. Rev. A 84:022102, 2011) for one-sided relaxation scenario only.