N-particle N-level singlet states: Some properties and applications

Physical Review Letters

Volumn 89, Issue 10, 2002, Pages 1004021-1004024

  Cabello, Adán ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; FUNCTIONS; INFORMATION THEORY; PROBLEM SOLVING; SET THEORY;

QUANTUM STATES;

QUANTUM THEORY;

EID: 0037009610     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. J.I. Cirac, during the Sixth Benasque Center for Science, 2000.
2. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
3. D. Bohm, Quantum Theory (Prentice-Hall, Englewood Cliffs, New Jersey, 1951).
4. J.S. Bell, Physics (Long Island City, New York) 1, 195 (1964).
5. D.M. Greenberger, M.A. Home, and A. Zeilinger, in Bell's Theorem, Quantum Theory, and Conceptions of the Universe, edited by M. Kafatos (Kluwer, Dordrecht, 1989), p. 69.
6. R.F. Werner, Phys. Rev. A 40, 4277 (1989).
7. L. Hardy, Phys. Rev. Lett. 71, 1665 (1993).
8. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 80, 5239 (1998).
9. W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A 62, 062314 (2000).
10. A.K. Ekert, Phys. Rev. Lett. 67, 661 (1991).
11. C.H. Bennett and S. J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992).
12. C.H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).
13. R. Cleve and H. Buhrman, Phys. Rev. A 56, 1201 (1997).
14. M. Zukowski, A. Zeilinger, M.A. Home, and H. Weinfurter, Acta Phys. Pol. 93, 187 (1998).
15. M. Hillery, V. Bužek, and A. Berthiaume, Phys. Rev. A 59, 1829 (1999).
16. A. Karlsson, M. Koashi, and N. Imoto, Phys. Rev. A 59, 162 (1999).
17. J. Lee and M. S. Kim, Phys. Rev. Lett. 84, 4236 (2000).
18. A. Cabello, Phys. Rev. Lett. 85, 5635 (2000).
19. P. Xue, C.-F. Li, and G.-C. Guo, Phys. Rev. A 64, 032305 (2001).
20. P. Highsmith, Strangers on a Train (Harper and Brothers, New York, 1950); A. Hitchcock, Strangers on a Train, Warner Brothers, Hollywood, CA, 1951.
21. P. Highsmith, Strangers on a Train (Harper and Brothers, New York, 1950); A. Hitchcock, Strangers on a Train, Warner Brothers, Hollywood, CA, 1951.
22. Or in more general, noncriminal, terms: each of N parties must perform one among N different tasks which they do not want to perform themselves. However, each party volunteers to perform some other party's task.
23. L. Lamport, R. Shostak, and M. Pease, ACM Trans. Program. Lang. Syst. 4, 382 (1982).
24. M. Fitzi, N. Gisin, and U. Maurer, Phys. Rev. Lett. 87, 217901 (2001).
25. C.H. Bennett and G. Brassard, in Proceedings of the International Conference on Computers, Systems, and Signal Processing, Bangalore, India, 1984 (IEEE, New York, 1984), p. 175.
26. i could do is to participate in another round with a different set of strangers.
27. A. Peres, Phys. Rev. A 46, 4413 (1992).
28. 3〉 violates Mermin's inequality for three observers and two alternative measurements per observer [N.D. Mermin, Phys. Rev. Lett. 65, 1838 (1990)]. The value obtained for the corresponding combination of quantum correlations is 2.24, while 2 is the maximum value allowed by local models. Curiously, this value can be obtained even if one of the three observers always measures along the same direction.
29. J.F. Clauser, M.A. Home, A. Shimony, and R.A. Holt, Phys. Rev. Lett. 23, 880 (1969).
30. A. Lamas-Linares, J.C. Howell, and D. Bouwmeester, Nature (London) 412, 887 (2001).
31. J.C. Howell, A. Lamas-Linares, and D. Bouwmeester, Phys. Rev. Lett. 88, 030401 (2002).