Bell and Greenberger, Horne, and Zeilinger theorems revisited

American Journal of Physics

Volumn 65, Issue 12, 1997, Pages 1197-1199

  Ryff, Luiz Carlos ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031528849     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18758     Document Type: Article

References (10)

1. J. S. Bell, "On the Einstein-Podolsky-Rosen Paradox," Physics 1, 195-200 (1964).
2. 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).
3. J. S. Bell, "Introduction to the hidden-variable question," in Foundations of Quantum Mechanics, edited by B. d'Espagnat (Academic, New York, 1971), pp 171-181.
4. D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, "Bell's theorem without inequalities," Am. J. Phys. 58 (12), 1131-1143 (1990).
5. A. Aspect, P. Grangier, and G. Roger, "Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment'. A new violation of Bell's inequalities," Phys. Rev. Lett. 49, 91-94 (1982).
6. The demonstration for an ideal situation in which we have a two-photon state such that -A(β) = B(β) (perfect correlation), for example, is similar to the demonstration I will present here.
7. 3)]. Naturally, this makes no difference, and corresponds to the introduction of a constant phase shift.
8. Although no entangled states of more than two particles have been generated in the laboratory yet (nor even observed in nature), proposals in this direction have been presented: "Atoms and Photons in High-Q Cavities," in Fundamental Problems in Quantum Theory, edited by D. M. Greenberger and A. Zeilinger (Annals of the New York Academy of Sciences, New York, 1995), pp. 73-86; J. I. Cirac and P. Zoller, "Preparation of macroscopic superpositions in many-atom systems," Phys. Rev. A 50, R2799-R2802 (1994); C. C. Gerry, "Proposal for a mesoscopic cavity QED realization of the Greenberger-Horne-Zeilinger state," Phys Rev. A 54, R2529-R2532 (1996).
9. Although no entangled states of more than two particles have been generated in the laboratory yet (nor even observed in nature), proposals in this direction have been presented: "Atoms and Photons in High-Q Cavities," in Fundamental Problems in Quantum Theory, edited by D. M. Greenberger and A. Zeilinger (Annals of the New York Academy of Sciences, New York, 1995), pp. 73-86; J. I. Cirac and P. Zoller, "Preparation of macroscopic superpositions in many-atom systems," Phys. Rev. A 50, R2799-R2802 (1994); C. C. Gerry, "Proposal for a mesoscopic cavity QED realization of the Greenberger-Horne-Zeilinger state," Phys Rev. A 54, R2529-R2532 (1996).
10. Although no entangled states of more than two particles have been generated in the laboratory yet (nor even observed in nature), proposals in this direction have been presented: "Atoms and Photons in High-Q Cavities," in Fundamental Problems in Quantum Theory, edited by D. M. Greenberger and A. Zeilinger (Annals of the New York Academy of Sciences, New York, 1995), pp. 73-86; J. I. Cirac and P. Zoller, "Preparation of macroscopic superpositions in many-atom systems," Phys. Rev. A 50, R2799-R2802 (1994); C. C. Gerry, "Proposal for a mesoscopic cavity QED realization of the Greenberger-Horne-Zeilinger state," Phys Rev. A 54, R2529-R2532 (1996).