Foundations of Physics Letters

, Volume 14, Issue 3, pp 275–284 | Cite as

Popper's Experiment and Conditional Uncertainty Relations

  • A. J. Short
Article

Abstract

Application of the uncertainty principle to conditional measurements is investigated and found to be valid for measurements on separated sub-systems. In light of this, an apparent violation of the uncertainty principle obtained by Kim and Shih in their realization of Popper's experiment [1] is explained through analogy with a simple optical system.

Popper's experiment uncertainty conditional measurement quantum mechanics entanglement 

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REFERENCES

  1. 1.
    Y. H. Kim and Y. Shih, “Experimental realization of Popper's experiment: Violation of the uncertainty principle?,” Found. Phys. 29, 1849 (1999).CrossRefGoogle Scholar
  2. 2.
    K. R. Popper, “Zur Kritik der Ungenauigkeitsrelationen,” Naturwiss. 22, 807 (1934). K. R. Popper, Quantum Theory and the Schism in Physics (Hutchinson, London, 1983).ADSCrossRefGoogle Scholar
  3. 3.
    M. J. Collett and R. London, “Analysis of a proposed crucial test of quantum mechanics,” Nature 326, 671 (1987). D. Bedford and F. Selleri, “On Popper's new EPR-Experiment,” Lett. Nuovo Cimento 42 325 (1985).ADSCrossRefGoogle Scholar
  4. 4.
    C. J. Isham, Lectures on Quantum Theory (Imperial College Press, London, 1995).CrossRefMATHGoogle Scholar
  5. 5.
    D. N. Klyshko, “Effect of focusing on photon correlation in parametric light scattering,” Sov. Phys. JETP 67, 1131 (1988).Google Scholar
  6. 6.
    D. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of two-photon ‘ghost’ interference and diffraction,” Phys. Rev. Lett. 74, 3600 (1995).ADSCrossRefGoogle Scholar
  7. 7.
    P. H. Souto Ribeiro and G. A. Barbosa, “Direct and ghost interference in double-slit experiments with coincidence measurements,” Phys. Rev. A 54 3489 (1996).ADSCrossRefGoogle Scholar
  8. 8.
    T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, “Optical imaging by means of two-photon quantum entanglement,” Phys. Rev. A 52, R3429 (1995).ADSCrossRefGoogle Scholar
  9. 9.
    J. B. M. Uffink and J. Hilgevoord, “Uncertainty Principle and Uncertainty Relations,” Found. Phys. 15, 925 (1985).ADSMathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • A. J. Short
    • 1
  1. 1.Centre for Quantum Computation, Clarendon LaboratoryUniversity of OxfordUnited Kingdom

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