Non-contextuality, finite precision measurement and the Kochen-Specker theorem

Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics

Volumn 35, Issue 2, 2004, Pages 151-176

  Barrett, Jonathan ^a   Kent, Adrian ^b  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Contextual; Experiment; Finite precision; Kochen Specker; Loophole

Indexed keywords

EID: 1942484826     PISSN: 13552198     EISSN: 18792502     Source Type: Journal    
DOI: 10.1016/j.shpsb.2003.10.003     Document Type: Article

References (42)

1. Appleby D.M. (2000). Contextuality of approximate measurements. E-print quant-ph/0005010
2. Appleby D.M. (2001). Nullification of the nullification. E-print quant-ph/0109034.
3. Appleby D.M. Existential contextuality and the models of Meyer, Kent and Clifton Physical Review A 65 2002 022105
4. Appleby D.M. (2003). The Bell-Kochen-Specker theorem. E-print quant-ph/0308114
5. Basu S. Bandyopadhyay S. Kar G. Home D. Bell's inequality for a single spin 1/2 particle and quantum contextuality Physics Letters A 279 2001 281-328
6. Bell J.S. (1966). On the problem of hidden variables in quantum mechanics. Reviews of Modern Physics, 38, 447-452 (Reprinted in Bell, 1987)
7. Bell J.S. (1985). Free variables and local causality. Dialectica, 39, 103-106 (Reprinted in Bell, 1987)
8. Bell J.S. Speakable and unspeakable in quantum mechanics 1987 Cambridge University Press Cambridge
9. Boyle C.F. & Schafir R.L. (2001). Remarks on "Noncontextual hidden variables and physical measurements". E-print quant-ph/0106040.
10. Breuer T. Kochen-Specker theorem for finite precision spin one measurements Physical Review Letters 88 2002 240402
11. Buhrman H. Cleve R. van Dam W. Quantum entanglement and communication complexity SIAM Journal on Computing 30 2001 1829-1841
12. Busch P. Quantum states and generalized observables: A simple proof of Gleason's theorem Physical Review Letters 91 2003 120403
13. Cabello A. (1999). Comment on "Non-contextual hidden variables and physical measurements". E-print quant-ph/9911024.
14. Cabello A. Finite-precision measurement does not nullify the Kochen-Specker theorem Physical Review A 65 2002 052101
15. Cabello A. Estebaranz J.M. García-Alcaine G. Bell-Kochen-Specker theorem: A proof with 18 vectors Physics Letters A 212 1996 183-187
16. Cabello A. García-Alcaine G. Proposed experimental tests of the Bell-Kochen-Specker theorem Physical Review Letters 80 1998 1797-1799
17. Clauser J.F. Horne M.A. Shimony A. Holt R.A. Proposed experiment to test local hidden-variable theories Physical Review Letters 23 1969 880-884
18. Clifton R. Kent A. Simulating quantum mechanics by non-contextual hidden variables Proceedings of the Royal Society of London Series A - Mathematical, Physical and Engineering Sciences 456 2000 2101-2114
19. Conway J. & Kochen S.. Unpublished.
20. Gleason A. Measures on closed subspaces of Hilbert space Journal of Mathematics and Mechanics 6 1957 885-893
21. Godsil C. & Zaks J. (1988). Coloring the sphere. Research Report CORR 88-12, University of Waterloo.
22. Hasegawa Y. Loidl R. Badurek G. Baron M. Rauch H. Violation of a Bell-like inequality in single-neutron interferometry Nature 425 2003 45-48
23. Havlicek H. Krenn G. Summhammer J. Svozil K. Colouring the rational quantum sphere and the Kochen-Specker theorem Journal of Physics A: Mathematical and General 34 2001 3071-3077
24. Huang Y.-F. Li C.-F. Zhang Y.-S. Pan J.-W. Guo G.-C. Experimental test of the Kochen-Specker theorem with single photons Physical Review Letters 90 2003 250401
25. Kent A. Non-contextual hidden variables and physical measurements Physical Review Letters 83 1999 3755-3757
26. Kent A. (2002). Causal quantum theory and the collapse locality loophole. E-print quant-ph/0204104.
27. Kochen S. Specker E. The problem of hidden variables in quantum mechanics Journal of Mathematics and Mechanics 17 1967 59-87
28. Larsson J.-Å. A Kochen-Specker inequality Europhysics Letters 58 2002 799-805
29. Mermin N.D. (1999). A Kochen-Specker theorem for imprecisely specified measurement. E-print quant-ph/9912081.
30. Meyer D.A. Finite precision measurement nullifies the Kochen-Specker theorem Physical Review Letters 83 1999 3751-3754
31. Peres A. (1995). Quantum theory: Concepts and methods (pp. 187-211). Boston, MA: Kluwer Academic Publishers.
32. Peres A. What's wrong with these observables? Foundation of Physics 33 2003 1543-1547
33. Peres A. (2003b). Finite precision measurement nullifies Euclid's postulates. E-print quant-ph/0310035.
34. Pitowsky I. (1982a). Resolution of the Einstein-Podolsky-Rosen and Bell paradoxes. Physical Review Letters, 48, 1299-1302. See also Pitowsky (1982b)
35. Pitowsky I. Resolution of the Einstein-Podolsky-Rosen and Bell paradoxes-response Physical Review Letters 49 1982 1216-1216
36. Pitowsky I. Deterministic model of spin and statistics Physical Review D 27 1983 2316-2326
37. Pitowsky I. Quantum mechanics and value definiteness Philosophy of Science 52 1985 154-156
38. Simon C. Brukner C. Zeilinger A. Hidden variable theorems for real experiments Physical Review Letters 86 2001 4427-4430
39. Simon C. Zukowski M. Weinfurter H. Zeilinger A. Feasible "Kochen-Specker" experiment with single particles Physical Review Letters 85 2000 17830-1786
40. Specker E. Die Logik nicht gleichzeitig entscheidbarer aussagen Dialectica 14 1960 239-246
41. van Fraassen B. (1973). Semantic analysis of quantum logic. In C. Hooker (Ed.), Contemporary research in the foundations and philosophy of quantum theory. Dordrecht: Reidel.
42. Zimba J. Penrose R. On Bell non-locality without probabilities: More curious geometry Studies in History and Philosophy of Science 24 1993 697-720