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The Two-State Vector Formalism: An Updated Review

  • Yakir Aharonov
  • Lev Vaidman
Part of the Lecture Notes in Physics book series (LNP, volume 734)

Keywords

Quantum State Quantum System Time Machine Pointer Variable Spin Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Y. Aharonov, P.G. Bergmann, J.L. Lebowitz: Phys. Rev. B 134, 1410 (1964)ADSMathSciNetGoogle Scholar
  2. 2.
    Y. Aharonov, D. Albert, A. Casher, L. Vaidman: Phys. Lett. A 124, 199 (1987)ADSMathSciNetGoogle Scholar
  3. 3.
    Y. Aharonov, L. Vaidman: Phys. Rev. A 41, 11 (1990)ADSMathSciNetGoogle Scholar
  4. 4.
    Y. Aharonov, L. Vaidman: J. Phys. A 24, 2315 (1991)ADSMathSciNetGoogle Scholar
  5. 5.
    L. Vaidman, Y. Aharonov, D. Albert: Phys. Rev. Lett. 58, 1385 (1987)ADSMathSciNetGoogle Scholar
  6. 6.
    Y. Aharonov, D. Albert, L. Vaidman: Phys. Rev. Lett. 60, 1351 (1988)ADSGoogle Scholar
  7. 7.
    Y. Aharonov, J. Anandan, S. Popescu, L. Vaidman: Phys. Rev. Lett. 64, 2965 (1990)zbMATHADSMathSciNetGoogle Scholar
  8. 8.
    Y. Aharonov, S. Popescu, D. Rohrlich, L. Vaidman: Phys. Rev. A 48, 4084 (1993)ADSGoogle Scholar
  9. 9.
    M.B. Berry: J. Phys. A 27, L391 (1994)zbMATHADSMathSciNetGoogle Scholar
  10. 10.
    M.B. Berry, S. Popescu: J. Phys. A 39, 6965 (2006)zbMATHADSMathSciNetGoogle Scholar
  11. 11.
    S.M. Barnett, D.T. Pegg, J. Jeffers, O. Jedrkiewicz, R. Loudon: Phys. Rev. A 62, 022313 (2000)ADSGoogle Scholar
  12. 12.
    S.M. Barnett, D.T. Pegg, J. Jeffers, O. Jedrkiewicz: J. Phys. B 33, 3047 (2000)ADSGoogle Scholar
  13. 13.
    S.M. Barnett, D.T. Pegg, J. Jeffers: J. Mod. Opt. 47, 1779 (2000)zbMATHADSMathSciNetGoogle Scholar
  14. 14.
    D.T. Pegg, S.M. Barnett, J. Jeffers: Phys. Rev. A 66, 022106 (2002)Google Scholar
  15. 15.
    D.T. Pegg, K.L. Pregnell: J. Mod. Opt. 51, 1613 (2004)zbMATHADSMathSciNetGoogle Scholar
  16. 16.
    R.B. Griffiths: J. Stat. Phys. 36, 219 (1984)Google Scholar
  17. 17.
    M. Gell-Mann, J.B. Hartle: in Physical Origins of Time Asymmetry, ed. by J. Halliwell et al. (Cambridge University Press, Cambridge, 1994)Google Scholar
  18. 18.
    B. Reznik, Y. Aharonov: Phys. Rev. A 52, 2538 (1995)ADSMathSciNetGoogle Scholar
  19. 19.
    J. von Neumann: Mathematical Foundations of Quantum Theory (Princeton University Press, Princeton, NJ, 1983)Google Scholar
  20. 20.
    O. Cohen: Phys. Rev. A 51, 4373 (1995)ADSMathSciNetGoogle Scholar
  21. 21.
    L. Vaidman: Phys. Rev. A 57, 2251 (1998)ADSGoogle Scholar
  22. 22.
    Y. Aharonov, L. Vaidman: Phys. Rev. A 67, 042107 (2003)ADSGoogle Scholar
  23. 23.
    R.B. Griffiths: Phys. Rev. A 54, 2759 (1996); 57, 1604 (1998)Google Scholar
  24. 24.
    A. Kent: Phys. Rev. Lett. 78, 2874 (1997)zbMATHADSMathSciNetGoogle Scholar
  25. 25.
    R.B. Griffiths: Consistent Quantum Theory (Cambridge University Press, Cambridge, 2003)Google Scholar
  26. 26.
    R.E. Kastner: Found. Phys. 29, 851 (1999)MathSciNetGoogle Scholar
  27. 27.
    L. Vaidman: Found. Phys. 29, 865 (1999)MathSciNetGoogle Scholar
  28. 28.
    K.A. Kirkpatrick: J. Phys. A: Math. Theor. 36, 4891 (2003)Google Scholar
  29. 29.
    T. Ravon, L. Vaidman: J. Phys. A: Math. Theor. 40, 2873 (2007)Google Scholar
  30. 30.
    K.A. Kirkpatrick: J. Phys. A: Math. Theor. 40, 2883 (2007)Google Scholar
  31. 31.
    C.R. Leavens, I. Puerto Gim’enez, D. Alonso, R. Sala Mayato: Phys. Lett. A 359, 416 (2006)ADSGoogle Scholar
  32. 32.
    O. Hosten, M.T. Rakher, J.T. Barreiro, N.A. Peters, P.G. Kwiat: Nature 439, 949 (2006)ADSGoogle Scholar
  33. 33.
    L. Vaidman: The Impossibility of the Counterfactual Computation for all Possible Outcomes. Phys. Rev. Lett. 98, 160403 (2006). quant-ph/0610174Google Scholar
  34. 34.
    L. Vaidman: Phys. Rev. Lett. 70, 3369 (1993)zbMATHADSMathSciNetGoogle Scholar
  35. 35.
    L. Vaidman: “Elements of Reality” and the Failure of the Product Rule’. In Symposium on the Foundations of Modern Physics, ed. by P.J. Lahti, P. Bush, P. Mittelstaedt (World Scientific, Cologne, 1993) pp. 406–417Google Scholar
  36. 36.
    Y. Aharonov, D. Albert, L. Vaidman: Phys. Rev. D 34, 1805 (1986)ADSMathSciNetGoogle Scholar
  37. 37.
    L. Hardy: Phys. Rev. Lett. 68, 2981 (1992)zbMATHADSMathSciNetGoogle Scholar
  38. 38.
    S. Marcovitch, B. Reznik, L. Vaidman: Phys. Rev. A 75, 022102 (2007)ADSMathSciNetGoogle Scholar
  39. 39.
    S. Popescu, D. Rohrlich: Found. Phys. 24, 379 (1994)ADSMathSciNetGoogle Scholar
  40. 40.
    S. Benmenahem: Phys. Rev. A 39, 1621 (1989)ADSGoogle Scholar
  41. 41.
    D. Mermin: Phys. Rev. Lett. 74, 831 (1995)zbMATHADSMathSciNetGoogle Scholar
  42. 42.
    Y. Aharonov, B.G. Englert: Zeit. Natur. A 56 16 (2001)Google Scholar
  43. 43.
    B.G. Englert, Y. Aharonov: Phys. Lett. A 284, 1 (2001)ADSMathSciNetGoogle Scholar
  44. 44.
    P.K. Aravind: Z. Natur. A 58, 85 (2003)Google Scholar
  45. 45.
    P.K. Aravind: Z. Natur. A 58, 682 (2003)Google Scholar
  46. 46.
    M. Horibe, A. Hayashi, T. Hashimoto: Phys. Rev. A 71, 032337 (2005)ADSMathSciNetGoogle Scholar
  47. 47.
    A. Hayashi, M. Horibe, T. Hashimoto: Phys. Rev. A 71, 052331 (2005)ADSMathSciNetGoogle Scholar
  48. 48.
    J.P. Paz, A.J. Roncaglia, M.A. Saraceno: Phys. Rev. A 72, 012309 (2005)ADSGoogle Scholar
  49. 49.
    G. Kimura, H. Tanaka, M. Ozawa: Phys. Rev. A 73, 050301 (2006)ADSGoogle Scholar
  50. 50.
    T. Durt: Int. J. Mod. Phys. B 20, 1742 (2006)zbMATHADSMathSciNetGoogle Scholar
  51. 51.
    O. Schulz, R. Steinhbl, M. Weber, B. Englert, C. Kurtsiefer, H. Weinfurter: Phys. Rev. Lett. 90, 177901 (2003)ADSGoogle Scholar
  52. 52.
    A. Botero: Ph.D. Thesis, The University of Texas at Austin (2003). quant-ph/0306082Google Scholar
  53. 53.
    Y. Aharonov, A. Botero: Phys. Rev. A 72, 052111 (2005)ADSGoogle Scholar
  54. 54.
    A. Tanaka: Phys. Lett. A 297, 307 (2002)zbMATHADSMathSciNetGoogle Scholar
  55. 55.
    H.M. Wiseman: Phys. Rev. A 65, 032111 (2002)ADSMathSciNetGoogle Scholar
  56. 56.
    A.D. Parks: J. Phys. A 36, 7185 (2003)zbMATHADSMathSciNetGoogle Scholar
  57. 57.
    L.M. Johansen: Phys. Lett. A 322 298 (2004)zbMATHADSMathSciNetGoogle Scholar
  58. 58.
    L.M. Johansen: Phys. Rev. Lett. 93, 120402 (2004)ADSGoogle Scholar
  59. 59.
    L.M. Johansen, A. Luis: Phys. Rev. A 70, 052115 (2004)ADSGoogle Scholar
  60. 60.
    O. Oreshkov, T. Brun: Phys. Rev. Lett. 95, 110409 (2005)ADSGoogle Scholar
  61. 61.
    W. Unruh: Ann. N.Y. Acad. Sci. 755, 560 (1995)ADSMathSciNetGoogle Scholar
  62. 62.
    K.J. Resch, J.S. Lundeen, A.M. Steinberg: Phys. Lett. A 324, 125 (2004)ADSzbMATHGoogle Scholar
  63. 63.
    Y. Aharonov, A. Botero, S. Popescu, B. Reznik, J. Tollaksen: Phys. Lett. A 301, 130 (2002)zbMATHADSMathSciNetGoogle Scholar
  64. 64.
    K. Molmer: Phys. Lett. A 292, 151 (2001)ADSMathSciNetGoogle Scholar
  65. 65.
    S.E. Ahnert, M.C. Payne: Phys. Rev. A 70, 042102 (2004)ADSMathSciNetGoogle Scholar
  66. 66.
    J.S. Lundeen, K.J. Resch, A.M. Steinberg: Phys. Rev. A 72, 016101 (2005)ADSMathSciNetGoogle Scholar
  67. 67.
    S.E. Ahnert, M.C. Payne: Phys. Rev. A 72, 016102 (2005)ADSMathSciNetGoogle Scholar
  68. 68.
    J.M. Knight, L. Vaidman: Phys. Lett. A 143, 357 (1990)ADSGoogle Scholar
  69. 69.
    M. Duck, P.M. Stevenson, E.C.G. Sudarshan: Phys. Rev. D 40, 2112 (1989)ADSGoogle Scholar
  70. 70.
    N.W.M. Ritchie, J.G. Story, R.G. Hulet: Phys. Rev. Lett. 66, 1107 (1991)ADSGoogle Scholar
  71. 71.
    A.D. Parks, D.W. Cullin, D.C. Stoudt: Proc. R. Soc. Lond A 454, 2997 (1998)zbMATHADSGoogle Scholar
  72. 72.
    N. Brunner, A. Acin, D. Collins, N. Gisin, V. Scarani: Phys. Rev. Lett. 93, 180402 (2003)Google Scholar
  73. 73.
    N. Brunner, V. Scarani, M. Wegmuller, M. Legre, N. Gisin: Phys. Rev. Lett. 93, 203902 (2004)ADSGoogle Scholar
  74. 74.
    D.R. Solli, C.F. McCormick, R.Y. Chiao, S. Popescu, J.M. Hickmann: Phys. Rev. Lett. 92, 043601 (2004)ADSGoogle Scholar
  75. 75.
    G.L. Pryde, J.L. O’Brien, A.G. White, T.C. Ralph, H.M. Wiseman: Phys. Rev. Lett. 94, 220405 (2005)ADSGoogle Scholar
  76. 76.
    Y. Aharonov, J. Oppenheim, S. Popescu, B. Reznik, W.G. Unruh: Phys. Rev. A 57, 4130 (1998)Google Scholar
  77. 77.
    J. Ruseckas, B. Kaulakys: Phys. Rev. A 66, 052106 (2002)ADSGoogle Scholar
  78. 78.
    S.E. Ahnert, M.C. Payne: Phys. Rev. A 69, 042103 (2004)ADSMathSciNetGoogle Scholar
  79. 79.
    Q. Wang, F.W. Sun, Y.S. Zhang, Jian-Li, Y.F. Huang, G.C. Guo: Phys. Rev. A 73, 023814 (2006)ADSGoogle Scholar
  80. 80.
    A.M. Steinberg: Phys. Rev. Lett. 74, 2405 (1995)ADSGoogle Scholar
  81. 81.
    R.Y. Chiao, A.M. Steinberg: Prog. Opt. 37, 345 (1997)Google Scholar
  82. 82.
    Y. Aharonov, N. Erez, B. Reznik: Phys. Rev. A 65, 052124 (2002)ADSGoogle Scholar
  83. 83.
    D. Sokolovski, A.Z. Msezane, V.R. Shaginyan: Phys. Rev. A 71, 064103 (2005)ADSGoogle Scholar
  84. 84.
    D. Rohrlich, Y. Aharonov: Phys. Rev. A 66, 042102 (2002)ADSGoogle Scholar
  85. 85.
    K.J. Resch, A.M. Steinberg: Phys. Rev. Lett. 92, 130402 (2004)ADSGoogle Scholar
  86. 86.
    J.S. Lundeen, K.J. Resch: Phys. Lett. A 334, 337 (2005)ADSzbMATHGoogle Scholar
  87. 87.
    L. Vaidman: Found. Phys. 21, 947 (1991)ADSMathSciNetGoogle Scholar
  88. 88.
    D. Suter: Phys. Rev. A 51, 45 (1995)ADSGoogle Scholar
  89. 89.
    D. Suter, M. Ernst, R.R. Ernst: Molec. Phys. 78, 95 (1993)ADSGoogle Scholar
  90. 90.
    L. Vaidman: J. Phys. A: Math. Theor. 40, 3275 (2007)Google Scholar
  91. 91.
    A. Shimony: Found. Lett. 35, 215 (2005)zbMATHMathSciNetADSGoogle Scholar
  92. 92.
    S. Popescu, L. Vaidman: Phys. Rev. A 49, 4331 (1994)ADSMathSciNetGoogle Scholar
  93. 93.
    C.H. Bennett, D.P. DiVincenzo, C.A. Fuchs, T. Mor, E. Rains, P.W. Shor, J.A. Smolin, W.K. Wootters: Phys. Rev. A 59, 1070 (1999)ADSMathSciNetGoogle Scholar
  94. 94.
    B. Groisman, L. Vaidman: J. Phys. A: Math. Gen. 34, 6881 (2001)zbMATHADSMathSciNetGoogle Scholar
  95. 95.
    C.H. Bennett, G. Brassard, C. Cr’epeau, R. Jozsa, A. Peres, W.K. Wootters: Phys. Rev. Lett. 70, 1895 (1993)Google Scholar
  96. 96.
    L. Vaidman: Phys. Rev. Lett. 90, 010402 (2003)ADSGoogle Scholar
  97. 97.
    L. Vaidman, I. Nevo: Int. J. Mod. Phys. B 20, 1528 (2006)ADSMathSciNetGoogle Scholar
  98. 98.
    L. Vaidman: Phys. Rev. A 49, 1473 (1994)ADSMathSciNetGoogle Scholar
  99. 99.
    A. Shimony: Erken. 45, 337 (1997)MathSciNetGoogle Scholar
  100. 100.
    L. Vaidman: Fortschr. Phys. 46, 729 (1998)MathSciNetGoogle Scholar
  101. 101.
    L. Vaidman: Found. Phys. 26, 895 (1996)ADSMathSciNetGoogle Scholar
  102. 102.
    W.D. Sharp, N. Shanks: Phil. Sci. 60, 488 (1993)MathSciNetGoogle Scholar
  103. 103.
    D.J. Miller: Phys. Lett. A 222, 31 (1996)zbMATHADSMathSciNetGoogle Scholar
  104. 104.
    R. E. Kastner: Stud. Hist. Phil. Mod. Phys. B 30, 237 (1999)MathSciNetGoogle Scholar
  105. 105.
    L. Vaidman: Stud. Hist. Phil. Mod. Phys. 30, 373 (1999)MathSciNetGoogle Scholar
  106. 106.
    L. Vaidman: Found. Phys. 29, 755 (1999)MathSciNetGoogle Scholar
  107. 107.
    D. Lewis: Nous 13, 455 (1979); reprinted in Philosophical Papers Vol II (Oxford University Press, Oxford 1986) p. 32Google Scholar
  108. 108.
    R.E. Kastner: Phil. Sci. 70, 145 (2003)MathSciNetGoogle Scholar
  109. 109.
    L. Vaidman: preprint. http://philsci-archive.pitt.edu/archive/00001108/Google Scholar
  110. 110.
    R.E. Kastner: Stud. Hist. Philos. Mod. Phys. B 35, 57 (2004)MathSciNetGoogle Scholar
  111. 111.
    D.J. Miller: Found. Phys. Lett. 19, 321 (2006)zbMATHMathSciNetGoogle Scholar
  112. 112.
    M.S. Leifer, R.W. Spekkens: Phys. Rev. Lett. 95, 200405 (2005)ADSGoogle Scholar
  113. 113.
    Y. Aharonov,L. Vaidman: Phys. Lett. A 178, 38 (1993)ADSGoogle Scholar
  114. 114.
    Y. Aharonov, J. Anandan, L. Vaidman: Phys. Rev. A 47, 4616 (1993)ADSGoogle Scholar
  115. 115.
    Y. Aharonov, J. Anandan, L. Vaidman: Found. Phys. 26, 117 (1996)ADSMathSciNetGoogle Scholar
  116. 116.
    Y. Aharonov, L. Vaidman: ‘Protective Measurements of Two-State Vectors’. In Potentiality, Entanglement and Passion-at-a-Distance, ed. by R.S. Cohen et al. (Kluwer Academic Publishers, Dordrecht, 1997) pp. 1–8Google Scholar
  117. 117.
    H. Everett: Rev. Mod. Phys. 29, 454 (1957)ADSMathSciNetGoogle Scholar
  118. 118.
    L. Vaidman: ‘Many-Worlds Interpretation of Quantum Mechanics’, in The Stanford Encyclopedia of Philosophy (Summer 2002 Edition), ed. by E. N. Zalta <http://plato.stanford.edu/archives/sum2002/entries/qm-anyworlds/>.Google Scholar
  119. 119.
    Y. Aharonov, E. Y. Gruss: Two-time interpretation of quantum mechanics (2005). quant-ph/0507269Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002 2008

Authors and Affiliations

  • Yakir Aharonov
    • 1
    • 2
  • Lev Vaidman
    • 1
  1. 1.School of Physics and Astronomy Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityTel-Aviv 69978Israel
  2. 2.Department of Physics and Department of Computational and Data Sciences College of ScienceGeorge Mason University,FairfaxUSA

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