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Foundations of Physics

, Volume 26, Issue 7, pp 895–906 | Cite as

Weak-measurement elements of reality

  • Lev Vaidman
Part IV. Invited Papers Dedicated to Max Jammer

Abstract

A brief review of the attempts to define “elements of reality” in the framework of quantum theory is presented. It is noted that most definitions of elements of reality have in common the feature to be a definite outcome of some measurement. Elements of reality are extended to pre- and post- selected systems and to measurements which fulfill certain criteria of weakness of the coupling. Some features of the newly introduced concepts are discussed.

Keywords

Quantum Theory Definite Outcome 
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References

  1. 1.
    A. Einstein, B. Podolsky, and N. Rosen,Phys. Rev. 47, 777 (1935).Google Scholar
  2. 2.
    M. Jammer,The Conceptual Development of Quantum Mechanics (McGraw-Hill, New York, 1966).Google Scholar
  3. 3.
    M. Jammer,The Philosophy of Quantum Mechanics (Wiley, New York, 1974).Google Scholar
  4. 4.
    J. S. Bell,Physics 1, 195 (1964).Google Scholar
  5. 5.
    M. Redhead,Incompleteness, Nonlocality, und Realism (Clarendon, Oxford. 1987), p. 72.Google Scholar
  6. 6.
    J. von Neumann,Mathematical Foundations of Quantum Theory (Princeton University Press, Princeton, New Jersey, 1983).Google Scholar
  7. 7.
    Y. Aharonov and L. Vaidman,Phys. Rev. A 41, 11 (1990).Google Scholar
  8. 8.
    L. Vaidman,Phys. Rev. Lett. 70, 3369–3372 (1993).Google Scholar
  9. 9.
    L. Vaidman, inSymposium on the Foundations of Modern Physics. P. J. Lahti. P. Bush, and P. Mittelstaedt, eds. (World Scientific, Singapore, 1993), pp. 406–417.Google Scholar
  10. 10.
    Y. Aharonov and L. Vaidman,J. Phys. A 24, 2315–2315 (1991).Google Scholar
  11. 11.
    It is interesting that fordichotomic variables the following is true: If the weak value is equal to one of the eigenvalues, i.e.,A n=a1 is the weak-measurement element of reality, thenA=a 1, is an element of reality in the strong sense, and ideal measurement ofA yieldsa 1 with probability one, see Ref. 10..Google Scholar
  12. 12.
    D. Bohm,Phys. Rev. 85, 97 (1952).Google Scholar
  13. 13.
    Y. Aharonov and L. Vaidman, inBohmian Mechanics and Quantum Theory: An Appraisal. J. T. Dishing, A. Fine, and S. Goldstein, eds. (Kluwer Academic, Dordrecht, 1996).Google Scholar
  14. 14.
    Y. Aharonov and L. Vaidman,Phys. Lett. A 178, 38 (1993).Google Scholar
  15. 15.
    Y. Aharonov and L. Vaidman,Ann. N.Y. Acad. Sci. 755, 361 (1995).Google Scholar
  16. 16.
    Y. Aharonov, S. Massar, S. Popescu, J. Tollaksen, and L. Vaidman,Phys. Rev. Lett. 77 (1996).Google Scholar
  17. 17.
    H. Everett,Rev. Mod. Phys. 29, 454–462 (1957).Google Scholar
  18. 18.
    Vaidman, L. (1993). “On schizophrenic experiences of the neutron or why we should believe in the many-worlds interpretation of quantum theory,” Tel-Aviv University preprint, TAUP 2058-93.Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Lev Vaidman
    • 1
  1. 1.School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityTel-AvivIsrael

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