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Einstein-Podolsky-Rosen Correlations, Entanglement and Quantum Cryptography

  • Chapter
Quantum Squeezing

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics ((SSAOPP,volume 27))

Abstract

The Einstein, Podolsky and Rosen [1] (EPR) argument was presented in 1935 as an attempt to show that quantum mechanics is incomplete. EPR defined as a starting point the premises of “reality” and “no action-at-a-distance” (often referred to as locality). The validity of these premises is taken for granted in all classical theories. The premise of realism implies that if one can predict with certainty the result of a measurement of a physical quantity at a location A, without disturbing the system at A, then the results of the measurement were predetermined. An “element of reality” is defined as a variable corresponding to this physical quantity, where the value of the “element of reality” is the value of the result of the measurement should it be performed. The element of reality is then a variable assigned to describe the system at A, that assumes one of the set of values that are the predicted results of the measurement. The no action-at-a-distance assumption postulates that the action of performing a measurement at a spatially separated location B cannot induce any immediate change to the subsystem at A. In this paper, and elsewhere, “local realism” is defined as the dual premise, where both realism and locality are assumed.

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  1. Physics Department, University of Queensland, 4072, St Lucia, Queensland, Australia

    Peter D. Drummond  & Zbigniew Ficek  & 

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Reid, M.D. (2004). Einstein-Podolsky-Rosen Correlations, Entanglement and Quantum Cryptography. In: Drummond, P.D., Ficek, Z. (eds) Quantum Squeezing. Springer Series on Atomic, Optical, and Plasma Physics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09645-1_10

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  • DOI: https://doi.org/10.1007/978-3-662-09645-1_10

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