Bell inequality with an arbitrary number of settings and its applications

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 6, 2006, Pages

  Nagata, Koji ^a,b   Laskowski, Wiesław ^a   Paterek, Tomasz ^a,c  

^a UNIVERSITY OF GDA SK   (Poland)

^b NATIONAL INSTITUTE OF INFORMATION AND COMMUNICATIONS TECHNOLOGY   (Japan)

^c Erwin Schrodinger International Institute for Mathematical Physics   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL GEOMETRY; ELECTRON ENERGY LEVELS; GROUND STATE;

BELL INEQUALITY; QUANTUM PROTOCOLS; QUANTUM STATES; TWO-LEVEL SYSTEMS;

QUANTUM THEORY;

EID: 33845660841     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.062109     Document Type: Article

References (30)

1. J. S. Bell, Physics (Long Island City, N.Y.) PYCSAP 0554-128X 10.1103/PhysRev.47.777 1, 195 (1964).
2. J. F. Clauser and A. Shimony, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/41/12/002 41, 1881 (1978);
3. D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.16243 58, 1131 (1990);
4. T. Paterek, W. Laskowski, and M. Zukowski, Mod. Phys. Lett. A MPLAEQ 0217-7323 10.1142/S0217732306019414 21, 111 (2006).
5. M. A. Nielsen and I. L. Chuang, in Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
6. A. K. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.661 67, 661 (1991);
7. V. Scarani and N. Gisin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.117901 87, 117901 (2001);
8. A. Acin, N. Gisin, and V. Scarani, Quantum Inf. Comput. QICUAW 1533-7146 3, 563 (2003).
9. Č. Brukner, M. Zukowski, J.-W. Pan, and A. Zeilinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.127901 92, 127901 (2004).
10. M. Zukowski, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(93)90002-H 177, 290 (1993).
11. J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.23.880 23, 880 (1969).
12. N. D. Mermin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65. 1838 65, 1838 (1990);
13. M. Ardehali, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.5375 46, 5375 (1992);
14. A. V. Belinskii and D. N. Klyshko, Phys. Usp. PHUSEY 1063-7869 10.1016/0375-9601(93)90228-R 36, 653 (1993).
15. D. M. Greenberger, M. A. Horne, and A. Zeilinger, in Bell's Theorem, Quantum Theory and Conceptions of the Universe, edited by, M. Kafatos, (Kluwer Academic, Dordrecht, 1989).
16. M. Zukowski, Č. Brukner, W. Laskowski, and M. Wiesśniak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.210402 88, 210402 (2002).
17. W. Dür, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 230402 87, 230402 (2001).
18. A. Peres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413 77, 1413 (1996);
19. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
20. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5239 80, 5239 (1998).
21. A. Peres, Found. Phys. FNDPA4 0015-9018 10.1023/A:1018816310000 29, 589 (1999).
22. M. Zukowski and D. Kaszlikowski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.R1682 56, R1682 (1997).
23. R. F. Werner and M. M. Wolf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.032112 64, 032112 (2001).
24. M. Zukowski and Č. Brukner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.210401 88, 210401 (2002).
25. D. Kaszlikowski, L. C. Kwek, J. Chen, and C. H. Oh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.052309 66, 052309 (2002).
26. A. Sen (De), U. Sen, and M. Zukowski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.062318 66, 062318 (2002).
27. K. Nagata, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.064101 66, 064101 (2002).
28. R. F. Werner and M. M. Wolf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.062102 61, 062102 (2000).
29. A. C.-C. Yao, in Proceedings of the 11th Annual ACM Symposium on Theory of Computing (ACM Press, New York, 1979).
30. P. Trojek, C. Schmid, M. Bourennane, Č. Brukner, M. Zukowski, and H. Weinfurter, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.050305 72, 050305 (R) (2005).