Simulating Bell inequality violations with classical optics encoded qubits

Journal of the Optical Society of America B: Optical Physics

Volumn 27, Issue 4, 2010, Pages 779-786

  Goldin, Matias A ^a   Francisco, Diego ^a   Ledesma, Silvia ^a  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

BELLS; ELECTROMAGNETIC WAVES; QUANTUM OPTICS;

BELL INEQUALITIES; BELL-INEQUALITY VIOLATIONS; CLASSICAL OPTICS; CLAUSER HORNE SHIMONY HOLTS; COHERENT OPTICAL; INTENSITY DISTRIBUTION; JOINT MEASUREMENT; UNITARY OPERATION;

QUANTUM THEORY;

EID: 77955692891     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.27.000779     Document Type: Article

References (30)

1. N. J. Cerf, C. Adami, and P. G. Kwiat, "Optical simulation of quantum logic," Phys. Rev. A 57, R1477-R1480 (1998).
2. R. J. C. Spreeuw, "A classical analogy of entanglement," Found. Phys. 28, 361-374 (1998).
3. R. J. C. Spreeuw, Phys. Rev. A 63, 062302 (2001).
4. N. Bhattacharya, H. B. van Linden vanden Heuvell, and R. J. C. Spreeuw, "Implementation of quantum search algorithm using classical Fourier optics," Phys. Rev. Lett. 88, 137901 (2002).
5. G. Puentes, C. La Mela, S. Ledesma, C. Iemmi, J. P. Paz, and M. Saraceno, "Optical simulation of quantum algorithms using programmable liquid-crystal displays," Phys. Rev. A 69, 042319 (2004).
6. D. Francisco, C. Iemmi, J. P. Paz, and S. Ledesma, "Optical simulation of the quantum Hadamard operator," Opt. Commun. 268, 340-345 (2006).
7. D. Francisco, C. Iemmi, J. P. Paz, and S. Ledesma, "Simulating a quantum walk with classical optics," Phys. Rev. A 74, 052327 (2006).
8. D. Francisco and S. Ledesma, "Classical optics analogy of quantum teleportation," J. Opt. Soc. Am. B 25, 383-390 (2008).
9. J. Fu, Z. Si, S. Tang, and J. Deng, "Classical simulation of quantum entanglement using optical transverse modes in multimode waveguides," Phys. Rev. A 70, 042313 (2004).
10. K. F. Lee and J. E. Thomas, "Experimental simulation of two-particle quantum entanglement using classical fields," Phys. Rev. Lett. 88, 097902 (2002).
11. A. Einstein, B. Podolsky, and N. Rosen, "Can quantummechanical description of physical reality be considered complete?" Phys. Rev. 47, 777-780 (1935).
12. J. S. Bell, "On the Einstein-Podolsky-Rosen paradox," Physics (Long Island City, N.Y.) 1, 195-200 (1964)
13. reprinted in J. S. Bell, Speakable and Unispeakable in Quantum Mechanics (Cambridge U. Press, 1987).
14. A. Aspect, J. Dalibard, and G. Roger, "Experimental test of Bell's inequalities using time-varying analyzers," Phys. Rev. Lett. 49, 1804-1807 (1982).
15. W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, "Violation of Bell inequalities by photons more than 10 km apart," Phys. Rev. Lett. 81, 3563-3566 (1998).
16. G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, "Violation of Bell's inequality under strict Einstein locality conditions," Phys. Rev. Lett. 81, 5039-5043 (1998).
17. A. Aspect, P. Grangier, and G. Roger, "Experimental tests of realistic local theories via Bell's theorem," Phys. Rev. Lett. 47, 460-463 (1981).
18. 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).
19. Z. Y. Ou and L. Mandel, "Violation of Bell's inequality and classical probability in a two-photon correlation experiment," Phys. Rev. Lett. 61, 50-53 (1988).
20. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, "New high-intensity source of polarization-entangled photons pair," Phys. Rev. Lett. 75, 4337-4341 (1995).
21. D. M. Greenberger, M. Horne, and A. Zeilinger, "Going beyond Bell's theorem," in Bell's Theorem, Quantum Theory and Conceptions of the Universe (Kluwer Academic, 1989), pp. 73-76.
22. J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, "Realization of The Einstein-Podolsky-Rosen paradox using momentum- and position-entangled photons from spontaneous parametric down conversion," Phys. Rev. Lett. 92, 210403 (2004).
23. A. Beige, W. J. Munro, and P. L. Knight, "Bell's inequality test with entangled atoms," Phys. Rev. A 62, 052102 (2000).
24. A. M. Souza, A. Magalhaes, J. Teles, E. R. deAzevedo, T. J. Bonagamba, I. S. Oliveira, and R. S. Sarthour, "NMR analog of Bell's inequalities violation test," New J. Phys. 10, 033020 (2008).
25. M. Genovese, "Research on hidden variable theories: a review of recent progress," Phys. Rep. 413, 319-396 (2005).
26. J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, "Proposed experiment to test local hidden-variable theories," Phys. Rev. Lett. 23, 880-884 (1969).
27. N. Bohr, "Can quantum-mechanical description of physical reality be considered complete?" Phys. Rev. 48, 696-702 (1935).
28. J. W. Goodman, Introduction to Fourier Optics (McGraw- Hill, 1996).
29. M. Nielsen and I. Chuang, Quantum Information and Computation (Cambridge U. Press, 2000).
30. A. Marquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, "Quantitative prediction of the modulation behavior of twisted nematic liquid crystal displays based on a simple physical model," Opt. Eng. (Bellingham) 40, 2558-2564 (2001).