Impossible colorings and Bell's theorem

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 262, Issue 4-5, 1999, Pages 282-286

  Aravind, P K ^a,b  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b WORCESTER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BELL'S THEOREM; NONLOCALITIES;

BELLS;

EID: 0042586044     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(99)00703-3     Document Type: Article

References (22)

1. J.S. Bell, Rev. Mod. Phys. 38 (1966) 447. Reprinted in J.S. Bell, Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, Cambridge, New York, 1987.
2. J.S. Bell, Rev. Mod. Phys. 38 (1966) 447. Reprinted in J.S. Bell, Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, Cambridge, New York, 1987.
3. S. Kochen, E.P. Specker, J. Math. Mech. 17 (1967) 59.
4. J.S. Bell, Physics 1 (1964) 195, Reprinted in the book quoted in Ref. [1].
5. D.M. Greenberger, M.A. Home, A. Zeilinger, Going beyond Bell's theorem, in: M. Kafatos (Ed.), Bell's Theorem, Quantum Theory and Conceptions of the Universe, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1989, p. 73; D.M. Greenberger, M.A. Home, A. Shimony, A. Zeilinger, Am. J. Phys. 58 (1990) 1131.
6. D.M. Greenberger, M.A. Home, A. Zeilinger, Going beyond Bell's theorem, in: M. Kafatos (Ed.), Bell's Theorem, Quantum Theory and Conceptions of the Universe, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1989, p. 73; D.M. Greenberger, M.A. Home, A. Shimony, A. Zeilinger, Am. J. Phys. 58 (1990) 1131.
7. N.D. Mermin, Am. J. Phys. 58 (1990) 731.
8. For example, L. Hardy, 'Non-locality for two particles without inequalities for almost all entangled states', Phys. Rev. Lett. 71 (1993) 1665.
9. An authoritative survey of recent work on the Bell-Kochen-Specker and Bell theorems until the mid 90s can be found in A. Peres, Quantum Theory: Concepts and methods, Kluwer Academic Publishers, Boston, 1995, Chs. 5-7.
10. A.M. Gleason, Measures on the closed subspaces of a Hilbert space, J. Math. Mech. 6, 885-893.
11. N.D. Mermin, Phys. Rev. Lett. 65 (1990) 3373.
12. A. Peres, J. Phys. A24 (1991) 174.
13. J. Zimba, R. Penrose, Stud. Hist. Phil. Sci. 24 (1993) 697. A simplified version of the Zimba-Penrose proof can be found in the paper by J.E. Massad, P.K. Aravind, The Penrose Dodecahedron revisited, to appear in the July 99 issue of Am. J. Phys. For a popular account of the magic dodecahedron see R. Penrose, Shadows of the mind, Oxford University Press, New York 1994, Ch.5.
14. J. Zimba, R. Penrose, Stud. Hist. Phil. Sci. 24 (1993) 697. A simplified version of the Zimba-Penrose proof can be found in the paper by J.E. Massad, P.K. Aravind, The Penrose Dodecahedron revisited, to appear in the July 99 issue of Am. J. Phys. For a popular account of the magic dodecahedron see R. Penrose, Shadows of the mind, Oxford University Press, New York 1994, Ch.5.
15. J. Zimba, R. Penrose, Stud. Hist. Phil. Sci. 24 (1993) 697. A simplified version of the Zimba-Penrose proof can be found in the paper by J.E. Massad, P.K. Aravind, The Penrose Dodecahedron revisited, to appear in the July 99 issue of Am. J. Phys. For a popular account of the magic dodecahedron see R. Penrose, Shadows of the mind, Oxford University Press, New York 1994, Ch.5.
16. N.D. Mermin, Rev. Mod. Phys. 65 (1993) 803.
17. M. Kernaghan, A. Peres, Phys. Lett. A 198 (1995) 1.
18. A. Cabello, J.M. Estebaranz, G. Garcia-Alcaine, Phys. Lett. A 212 (1996) 183.
19. P.K. Aravind, F. Lee-Elkin, J. Phys. A: Math. Gen. 31 (1998) 9829.
20. P. Heywood, M.L.G. Redhead, Found. Phys. 13 (1983) 481; A. Staira, Philosophy of Science 50 (1983) 578; H.R. Brown, G. Svetlichny, Found. Phys. 20 (1990) 1379.
21. P. Heywood, M.L.G. Redhead, Found. Phys. 13 (1983) 481; A. Staira, Philosophy of Science 50 (1983) 578; H.R. Brown, G. Svetlichny, Found. Phys. 20 (1990) 1379.
22. P. Heywood, M.L.G. Redhead, Found. Phys. 13 (1983) 481; A. Staira, Philosophy of Science 50 (1983) 578; H.R. Brown, G. Svetlichny, Found. Phys. 20 (1990) 1379.