Abstract
A classical analogy of quantum mechanical entanglement is presented, using classical light beams. The analogy can be pushed a long way, only to reach its limits when we try to represent multiparticle, or nonlocal, entanglement. This demonstrates that the latter is of exclusive quantum nature. On the other hand, the entanglement of different degrees of freedom of the same particle might be considered classical. The classical analog cannot replace Einstein-Podolsky-Rosen type experiments, nor can it be used to build a quantum computer. Nevertheless, it does provide a reliable guide to the intuition and a tool for visualizing abstract concepts in low-dimensional Hilbert spaces.
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REFERENCES
E. Schrödinger, Naturwissenschaften 23, 807, 823, 844 (1935).
C. Monroe, D. Meekhof, B. King, and D. Wineland, Science 272, 1131 (1996).
M. Brune et al., Phys. Rev. Lett. 77, 4887 (1996).
A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
J. S. Bell, Physics (N.Y.) 1, 195 (1965).
A. Aspect, P. Grangier, and G. Roger, Phys. Rev. Lett. 49, 91 (1982).
A. Ekert, Phys. Rev. Lett. 67, 661 (1991).
D. Deutsch, Proc. R. Soc. London A 400, 97 (1985).
C. H. Bennett, Phys. Today 48 (10), 24 (1995), and references therein.
D. M. Greenberger, M. A. Horne, and A. Zeilinger, in Quantum Interferometry II, F. De Martini, G. Denardo, and Y. Shih, eds. (Wiley-VCH, Weinheim, 1996).
R. J. C. Spreeuw and J. P. Woerdman, in Progress in Optics XXXI, E. Wolf, ed. (Elsevier, Amsterdam, 1993), pp. 263-319.
R. C. Jones, J. Opt. Soc. Am. 31, 488(1941).
B Schumacher, Phys. Rev. A 51, 2738 (1995).
P. Domokos, J. M. Raimond, M. Brune, and S. Haroche, Phys. Rev. A 52, 3554 (1995).
Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, Phys. Rev. Lett. 75, 4710 (1995).
C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, Phys. Rev. Lett. 75, 4714 (1995).
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Spreeuw, R.J.C. A Classical Analogy of Entanglement. Foundations of Physics 28, 361–374 (1998). https://doi.org/10.1023/A:1018703709245
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DOI: https://doi.org/10.1023/A:1018703709245