Bell inequalities and quantum mechanics

American Journal of Physics

Volumn 70, Issue 3, 2002, Pages 276-279

  Eberly, J H ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044529016     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1427311     Document Type: Article

References (16)

1. j. S. Bell, "On the Einstein-Podolsky-Rosen paradox," Physics (Long Island City, N.Y.) 1, 195-200 (1964), and the non-technical article "Against 'Measurement,' " Phys. World 3, 33-40 (1990).
2. P. Meystre, "Is reality really real? An introduction to Bell's inequalities," in Quantum Electrodynamics and Quantum Optics, edited by A. Barut (Plenum, New York, 1984), p. 443.
3. J. S. Bell, "Bertlmann's socks and the nature of reality," in J. Phys. (Paris) Colloq. "Les implications conceptuelles de la Physique Quantique," 42, 41-62 (1981).
4. J. F. Clauser, M. A. Home, A. Shimony, and R. A. Holt, "Proposed experiment to test local hidden-variable theories," Phys. Rev. Lett. 23, 880- 884 (1969).
5. S. J. Freedman and J. F. Clauser, "Experimental test of local hidden- variable theories, Phys. Rev. Lett. 28, 938-941 (1972).
6. Many different approaches are known for testing Bell inequalities. Experimental reports demonstrating agreement with predictions of quantum theory and disagreement with predictions based on Bell inequalities include these examples: E. S. Fry and R. C. Thompson, "Experimental test of local hidden-variable theories," Phys. Rev. Lett. 37, 465-468 (1976);
7. A. Aspect, J. Dalibard, and G. Roger, "Experimental test of Bell's inequalities using time-varying analyzers," ibid. 49, 1804-1807 (1982);
8. Z. Ou and L. Mandel, "Violation of Bell's inequality and classical probability in a two-photon correlation experiment," ibid. 61, 50-53 (1988);
9. T. Kiess, Y. Shih, A. Sergienko, and C. Alley, "Einstein-Podolsky- Rosen-Bohm experiment using pairs of light quanta produced by type-II parametric down- conversion," ibid. 71, 3893-3897 (1993).
10. A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777-780 (1935).
11. A. P. French and E. F. Taylor, An Introduction to Quantum Physics (Norton, New York, 1978), Chaps. 6 and 7. French and Taylor also cite the first published account of an analyzer loop: A. A. Lebedev, "L'interferometre a polarisation et ses applications," Rev. Opt., Theor. Instrum. 9, 385-413 (1930).
12. An excellent instructional film showing the behavior of polarized light beams in an analyzer loop is "Interference in Photon Polarization," made for Education Development Center (Newton, MA).
13. R. P. Feynman, R. B. Leighton,. and M. Sands, The Feynman Lectures (Addison-Wesley, Reading, MA, 1965), Vol. III, Chap. 5.
14. An excellent instructional film using Malus' law to illustrate elements of single-photon counting physics is "Single Photon Polarization," by S. Berko, made for the Education Development Center (Newton, MA).
15. É. L. Malus, Nouveau Bull Sci., Soc. Philomatique 1, 266 (1809); Mém. Soc. d'Arcueil 2, 260 (1809).
16. I3 M. O. Scully, H. Walther, and W. P. Schleich, "Feynman's approach to negative probability in quantum mechanics," Phys. Rev. A 49, 1562-1566 (1994). There is an extensive literature. See, for example, Negative Probabilities in Quantum Mechanics, edited by B. Hiley and F. Peat (Rout- ledge, London, 1987).