Bell inequalities with auxiliary communication

Physical Review Letters

Volumn 90, Issue 15, 2003, Pages

  Bacon, D ^a,b   Toner, B F ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DATA COMMUNICATION SYSTEMS; MATHEMATICAL MODELS; NETWORK PROTOCOLS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SET THEORY; VECTORS;

AUXILIARY COMMUNICATION; BELL INEQUALITIES; LOCAL HIDDEN VARIABLES;

QUANTUM THEORY;

EID: 0037526428     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. P.W. Shor, in Proceedings of the 35th Annual Symposium on the Foundations of Computer Science, Santa Fe, NM, 1994 (IEEE Computer Society, Los Alamitos, CA, 1994), pp. 124-134
2. L. Grover, in Proceedings of the 28th Annual ACM Symposium on the Theory of Computing (ACM Press, New York, 1996), pp. 212-219.
3. J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964).
4. R. F. Werner and M. M. Wolf, Quantum Inf. Comput. 1, 1 (2001).
5. G. Brassard, R. Cleve, and A. Tapp, Phys. Rev. Lett. 83, 1874 (1999)
6. G. Brassard, quant-ph/0101005.
7. T. Maudlin, in Proceedings of the 1992 Meeting of the Philosophy of Science Association, edited by D. Hull, M. Forbes, and K. Okruhlik (Philosophy of Science Association, East Lansing, MI, 1992), Vol. 1, pp. 404-417
8. N. Cerf, N. Gisin, and S. Massar, Phys. Rev. Lett. 84, 2521 (2000)
9. M. Steiner, Phys. Rev. A 270, 238 (2000)
10. S. Massar, D. Bacon, N. Cerf, and R. Cleve, Phys. Rev. A 63, 052305 (2001)
11. A. Coates, quant-ph/0203112.
12. J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge Press, New York, 1993).
13. B. F. Toner and D. Bacon, The Communication Cost of Simulating Bell Correlations, quant-ph/0304076 (to be published).
14. M. Friossart, Nuovo Cimento Soc. Ital. Fis. 64B, 241 (1981)
15. I. Pitowsky, Quantum Probability-Quantum Logic (Springer, Berlin, 1989)
16. R. F. Werner and M. M. Wolf, Phys. Rev. A 64, 032112 (2001).
17. E. Kushilevitz and N. Nisan, Communication Complexity (Cambridge University Press, New York, 1997).
18. R. T. Rockafellar, Convex Analysis (Princeton University Press, Princeton, New Jersey, 1970).
19. A. Fine, Phys. Rev. Lett. 48, 291 (1982).
20. I. Pitowsky and K. Svozil, Phys. Rev. A 64, 014102 (2001).
21. A. Garg and N. D. Mermin, Found. Phys. 14, 1 (1984).
22. A. C. Yao, in Proceedings of the 11th ACM Symposium on Theory of Computing, Atlanta, GA, 1979 (ACM Press, New York, 1979), pp. 209-213.
23. D. Bremner, K. Fukuda, and A. Marzetta, Disc. Comput. Geom. 20, 333 (1998)
24. K. Fukuda and A. Prodon, Lect. Notes Comput. Sci. 1120, 91 (1996).
25. That such a violation must exist is implied by [4].