Weak values with decoherence

Journal of Physics A: Mathematical and Theoretical

Volumn 43, Issue 2, 2010, Pages

  Shikano, Yutaka ^a,b   Hosoya, Akio ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b Massachusetts Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 73449137203     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/2/025304     Document Type: Article

References (57)

1. von Neumann J 1932 Mathematische Grundlagen der Quantumechanik (Berlin: Springer)
2. Beyer R T (trans) 1955 Mathematical Foundations of Quantum Mechanics (Princeton, NJ: Princeton University Press) (Engl. Transl.)
3. Kraus K 1971 Ann. Phys. 64 311
4. Davies E B and Lewis J T 1970 Commun. Math. Phys. 17 239
5. Ozawa M 1984 J. Math. Phys. 25 79
6. Busch B, Mittelstaedt P and Lahti P J 1991 Quantum Theory of Measurement (Berlin: Springer)
7. Braginsky V B and Khalili F K 1992 Quantum Measurement (Cambridge: Cambridge University Press)
8. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
9. Shapere A and Wilczek F 1988 Geometric Phases in Physics (Singapore: World Scientific)
10. Aharonov Y, Albert D Z and Vaidman L 1988 Phys. Rev. Lett. 60 1351
11. Aharonov Y and Rohrlich D 2005 Quantum Paradoxes (Weibheim: Wiley-VCH)
12. Aharonov Y and Botero A 2005 Phys. Rev. A 72 052111
13. Wiseman H 2002 Phys. Rev. A 65 032111
14. Aharonov Y, Popescu S, Rohrlich D and Vaidman L 1993 Phys. Rev. A 48 4084
15. Rohrlich D and Aharonov Y 2002 Phys. Rev. A 66 042102
16. Wang M 1997 Phys. Rev. Lett. 79 3319
17. Steinberg A 1995 Phys. Rev. Lett. 74 2405
18. Vaidman L 1996 Found. Phys. 26 895
19. Tanaka A 2002 Phys. Lett. A 297 307
20. Mølmer K 2001 Phys. Lett. A 292 151
21. Mitchison G, Jozsa R and Popescue S 2007 Phys. Rev. A 76 060302 (R)
22. Brunner N, Acín A, Collins D, Gisin N and Scarani V 2003 Phys. Rev. Lett. 91 180402
23. Ritchie N W M, Story J G and Hulet R G 1991 Phys. Rev. Lett. 66 1107
24. Resch K J, Lundeen J S and Steinberg A M 2004 Phys. Lett. A 324 125
25. Resch K J 2008 Science 319 733
26. Parks A D, Cullin D W and Stoudt D C 1988 Proc. R. Soc. Lond. A 454 2997
27. Hosten O and Kwiat P 2008 Science 319 787
28. Pryde G L, O'Brien J L, White A G, Ralph T C and Wiseman H M 2005 Phys. Rev. Lett. 94 220405
29. Yokota K, Yamamoto T, Koashi M and Imoto N 2009 New J. Phys. 11 033011
30. Dixon P B, Starling D J, Jordan A N and Howell J C 2009 Phys. Rev. Lett. 102 173601
31. Aharonov Y and Vaidman L 1990 Phys. Rev. A 41 11
32. Aharonov Y, Bergmann P G and Lebowitz J L 1964 Phys. Rev. 134 B1410
33. Aharonov Y and Vaidman L 1991 J. Phys. A: Math. Gen. 24 2315
34. Aharonov Y and Vaidman L 2008 Time in Quantum Mechanics vol 1 ed J G Muga, R Sala Mayato and I L Egusquiza (Berlin, Heidelberg: Springer) p 399
35. Aharonov Y and Tollaksen J 2007 Visions of Discovery: New Light on Physics Cosmology and Consciousness ed R Y Chiao, M L Cohen, A J Leggett, W D Phillips and C L Harper Jr (Cambridge: Cambridge University Press) at press (arXiv:0706.1232)
36. Reznik B and Aharonov Y 1995 Phys. Rev. A 52 2358
37. Uhlmann A 1986 Rep. Math. Phys. 24 229
38. Gardiner C W and Zoller P 2004 Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics (Berlin: Springer)
39. Jozsa R 2007 Phys. Rev. A 76 044103
40. Sjöqvist E 2006 Phys. Lett. A 359 187
41. Ozawa M 1989 Squeezed and Nonclassical Light ed P Tombesi and E R Pike (New York: Plenum) p 263
42. Tamate S, Kobayashi H, Nakanishi T, Sugiyama K and Kitano M 2009 New J. Phys. 11 0903025
43. Sjöqvist E, Pati A K, Ekert A, Anandan J S, Ericsson M, Oi D K L and Vedral V 2000 Phys. Rev. Lett. 85 2845
44. Ericsson M, Pati A K, Sjöqvist E, Brännlund J and Oi D K L 2003 Phys. Rev. Lett. 91 090405
45. Carollo A, Fuentes-Guridi I, Santos M F and Vedral V 2003 Phys. Rev. Lett. 90 160402
46. Singh K, Tong D M, Basu K, Chen J L and Du J F 2003 Phys. Rev. A 67 032106
47. Du J, Zou P, Shi M, Kwek L C, Pan J-W, Oh C H, Ekert A, Oi D K L and Ericsson M 2003 Phys. Rev. Lett. 91 100403
48. Ericsson M, Achilles D, Barreiro J T, Branning D, Peters N A and Kwiat P G 2005 Phys. Rev. Lett. 94 050401
49. Sjöqvist E 2006 Acta Phys. Hung. B 26 195
50. Uhlmann A 1991 Lett. Math. Phys. 21 229
51. Uhlmann A 1992 Proc. First Max Born Symposium ed R Gielerak, J Lukierski and Z Popowicz (Netherlands: Kluwer) p 267 (arXiv:mp-arc:92-44)
52. Parks A D 2008 J. Phys. A: Math. Theor. 41 335305
53. Aharonov Y, Popescu S, Tollaksen J and Vaidman L 2009 Phys. Rev. A 79 052110
54. It K 1978 An Introduction to Probability Theory (Cambridge: Cambridge University Press)
55. Tonomura A, Endo J, Matsuda T, Kawasaki T and Ezawa H 1989 Am. J. Phys. 57 117
56. Arndt M, Nairz O, Vos-Andreae J, Keller C, van der Zouw G and Zeilinger A 1999 Nature 401 680
57. Davies P C W 2009 Phys. Rev. A 79 032103