Contextuality for preparations, transformations, and unsharp measurements

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 5, 2005, Pages

  Spekkens, R W ^a  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY OPERATIONAL THEORIES; BELL-KOCHEN-SPECKER THEOREM;

MATHEMATICAL MODELS; QUANTUM EFFICIENCY; THEOREM PROVING;

MATHEMATICAL TRANSFORMATIONS;

EID: 26944433106     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.052108     Document Type: Article

References (52)

1. J. S. Bell, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.38.447 38, 447 (1966), reprinted in Ref., Chap. 1.
2. J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, New York, 1987).
3. S. Kochen and E. P. Specker, J. Math. Mech. JOMMAN 0095-9057 17, 59 (1967).
4. A. Cabello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 190401 90, 190401 (2003).
5. P. Busch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.120403 91, 120403 (2003).
6. C. M. Caves, C. A. Fuchs, K. Manne, and J. M. Renes, Found. Phys. FNDPA4 0015-9018 34, 193 (2004).
7. E. G. Beltrametti and S. Bugajski, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/12/007 28, 3329 (1995).
8. D. Bohm, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.85.166 85, 166 (1952).
9. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Boston, 1995).
10. L. Hardy, e-print quant-ph/0101012.
11. K. Kraus, States, Effects and Operations: Fundamental Notions of Quantum Theory, Lecture Notes in Physics No. 190 (Springer-Verlag, Berlin, 1983).
12. P. Busch, M. Grabowski, and P. Lahti, Operational Quantum Physics (Springer, Berlin, 1995).
13. B. Schumacher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.2614 54, 2614 (1996).
14. A. Peres, Found. Phys. FNDPA4 0015-9018 20, 1441 (1990).
15. J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Ref.), Chap..
16. G. Bacciagaluppi (unpublished).
17. R. W. Spekkens and T. Rudolph, Quantum Inf. Comput. QICUAW 1533-7146 2, 66 (2002).
18. B. F. Toner, D. Bacon, and M. Ben-Or (unpublished).
19. A. M. Gleason, J. Math. Mech. JOMMAN 0095-9057 6, 885 (1957).
20. A. Jamiolkowski, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(72) 90011-0 3, 275 (1972).
21. N. D. Mermin, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.803 65, 803 (1993).
22. R. W. Spekkens, e-print quant-ph/0401052.
23. L. E. Ballentine, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.42. 358 42, 358 (1970);
24. L. E. Ballentine, Y. Yang, and J. P. Zibin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.2854 50, 2854 (1994).
25. C. A. Fuchs, e-print quant-ph/0205039;
26. C. A. Fuchs, J. Mod. Opt. JMOPEW 0950-0340 50, 987 (2003).
27. J. V. Emerson, Ph.D. thesis, Simon Fraser University, Vancouver, Canada, 2001;
28. J. V. Emerson, e-print quant-ph/0211035.
29. L. Hardy, e-print quant-ph/9906123.
30. K. A. Kirkpatrick, Found. Phys. Lett. FPLEET 0894-9875 10.1023/A:1025910725022 16, 199 (2003).
31. T. Rudolph (unpublished).
32. S. J. van Enk, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84. 789 84, 789 (2000).
33. D. Howard, Stud. Hist. Philos. Sci SHPSB5 0039-3681 16, 171 (1985).
34. J. S. Bell, Physics (Long Island City, N.Y.) PYCSAP 0554-128X 10.1103/PhysRev.47.777 1, 195 (1964), reprinted in Ref., Chap. 2.
35. J. Zimba and R. Penrose, Stud. Hist. Philos. Sci SHPSB5 0039-3681 24, 697 (1993).
36. T. Rudolph and R. W. Spekkens (unpublished).
37. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.47.777 47, 777 (1935).
38. A. Valentini, Ph.D. thesis, International School for Advanced Studies, Trieste, Italy, 1991.
39. L. Hardy, in Bohmian Mechanics and Quantum Theory: An Appraisal, edited by, D. J. T. Cushing, A. Fine, and, S. Goldstein, (Kluwer Academic, New York, 1996), pp. 67-76.
40. D. Z. Albert, Quantum Mechanics and Experience (Harvard University Press, Cambridge, England, 1992), p. 153.
41. A. Shimony, Br. J. Philos. Sci. BJPIA5 0007-0882 35, 25 (1984).
42. C. Simon, C. Brukner, and A. Zeilinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4427 86, 4427 (2001).
43. J.-A. Larsson, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00444-0 58, 799 (2002).
44. A. Cabello and G. Garcia-Alcaine, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1797 80, 1797 (1998).
45. D. A. Meyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83. 3751 83, 3751 (1999).
46. R. Clifton and A. Kent, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 456, 2101 (2000).
47. D. M. Appleby, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.022105 65, 022105 (2002).
48. J. Barrett and A. Kent, Stud. Hist. Philos. Mod. Phys. 1355-2198 10.1016/0304-3886(95)00041-8 35, 151 (2004).
49. C. Brukner, M. Zukowski, J.-W. Pan, and A. Zeilinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.127901 92, 127901 (2004).
50. E. F. Galvão, Ph.D. thesis, University of Oxford, Oxford, England;
51. E. F. Galvão, e-print quant-ph/0212124.
52. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England 2000), p. 372.