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arXiv:quant-ph/0002030 · Foundations of Physics

On Fine's Resolution of the EPR-Bell Problem

László E. Szabó

Published Nov 1, 2000• 17 citations
arXivHTMLPDF
DOI
10.1023/a:1003710421881

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Some reflections on the EPR work, N. Rosen Philosophical reflections on EPR, A. Shimony Can EPR non-locality be geometrical? Y. Ne'Eman EPR in the 1990's: from paradox to crucial ingredient in frontier experiments, H.J. Lipkin Eistein-Podolsky-Rosen interferometry, A. Zeilinger Quantum phase, photon counting and EPR variables, M.T. Fontenelle, M. Freyberger, M. Heni, W.P. Schleich, M.S. Zubairy Fine structure of EPR state and universal quantum correlation, B.S. Tsirelson Locality, reality, EPR, and Bell's inequality, M. Lokajicek On the Pauli wave function and the EPR paradox, F. Piazzese Quantum nonreproducibility at the individual level as a resolution of quantum paradoxes, W. de Baere Quantum nonlocality and Bell's inequality, W.M. de Muynpk, W. De Baere On the conjecture that Bell's theorem is not true, E. Santos temporal Bell inequalities in quantum networks Quantum-optical Bell correlations in phase space, U. Leonhardt, J.A. Vaccaro More powerful tests of nonlocality by sequences of measurements, S. Popescu Nonlocality as an axiom for quantum theory, D. Rohrlich, S. Popescu Uncertainty principle for nonhermitian operators and its applications, L.P. Piyaevskii Measures of entanglement, A. Shimony Generalized two-mode squeezing and quantum entanglement Wave-particle duality for a single photon, A. Aspect Causality and nonlocality in faster- than- light photon travel Geometry of quantum inference, S.L. Braunstein Quantum information: how much information in a state vector? C.M. Caves, C.A. Fuchs Quantum and classical information transmission acts and reducibilities, C.H. Bennett Consequences and inconsequences of cryptic constrains, L.S. Schulman The meaning of protective measurements, Y. Aharonov, J. Anandan, L. Vaidman From E.P.R. to G.H.Z.: conference highlights, A. Peres.

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There is no spooky action-at-a-distance in quantum correlations: Resolution of the Einstein-Podolsky-Rosen nonlocality puzzle

C. S. Unnikrishnan

The long-standing puzzle of the nonlocal Einstein-Podolsky-Rosen correlations is resolved. The correct quantum mechanical correlations arise for the case of entangled particles when strict locality is assumed for the probability amplitudes instead of locality for probabilities. Locality of amplitudes implies that measurement on one particle does not collapse the companion particle to a definite state. Sixty five years ago, the most significant paper questioning a fundamental aspect of quantum phenomena was written by Einstein, Podolsky and Rosen (EPR) [1]. They addressed the question whether the wave-function represented a complete description of reality in quantum mechanics, and argued that it didn’t. Bohr’s reply to this paper [2] was not sufficient to resolve the fundamental issues raised by EPR. Decades later, Bohm rephrased the EPR problem [3] in terms of particles correlated in their spin and this helped enormously in analyzing the problem with clarity. John Bell analyzed the EPR problem in the early sixties and established the Bell’s inequalities obeyed by

•Jan 1, 2008•0 citations
Some reflections on the EPR work, N. Rosen Philosophical reflections on EPR, A. Shimony Can EPR non-locality be geometrical? Y. Ne'Eman EPR in the 1990's: from paradox to crucial ingredient in frontier experiments, H.J. Lipkin Eistein-Podolsky-Rosen interferometry, A. Zeilinger Quantum phase, photon counting and EPR variables, M.T. Fontenelle, M. Freyberger, M. Heni, W.P. Schleich, M.S. Zubairy Fine structure of EPR state and universal quantum correlation, B.S. Tsirelson Locality, reality, EPR, and Bell's inequality, M. Lokajicek On the Pauli wave function and the EPR paradox, F. Piazzese Quantum nonreproducibility at the individual level as a resolution of quantum paradoxes, W. de Baere Quantum nonlocality and Bell's inequality, W.M. de Muynpk, W. De Baere On the conjecture that Bell's theorem is not true, E. Santos temporal Bell inequalities in quantum networks Quantum-optical Bell correlations in phase space, U. Leonhardt, J.A. Vaccaro More powerful tests of nonlocality by sequences of measurements, S. Popescu Nonlocality as an axiom for quantum theory, D. Rohrlich, S. Popescu Uncertainty principle for nonhermitian operators and its applications, L.P. Piyaevskii Measures of entanglement, A. Shimony Generalized two-mode squeezing and quantum entanglement Wave-particle duality for a single photon, A. Aspect Causality and nonlocality in faster- than- light photon travel Geometry of quantum inference, S.L. Braunstein Quantum information: how much information in a state vector? C.M. Caves, C.A. Fuchs Quantum and classical information transmission acts and reducibilities, C.H. Bennett Consequences and inconsequences of cryptic constrains, L.S. Schulman The meaning of protective measurements, Y. Aharonov, J. Anandan, L. Vaidman From E.P.R. to G.H.Z.: conference highlights, A. Peres.
The long-standing puzzle of the nonlocal Einstein-Podolsky-Rosen correlations is resolved. The correct quantum mechanical correlations arise for the case of entangled particles when strict locality is assumed for the probability amplitudes instead of locality for probabilities. Locality of amplitudes implies that measurement on one particle does not collapse the companion particle to a definite state. Sixty five years ago, the most significant paper questioning a fundamental aspect of quantum phenomena was written by Einstein, Podolsky and Rosen (EPR) [1]. They addressed the question whether the wave-function represented a complete description of reality in quantum mechanics, and argued that it didn’t. Bohr’s reply to this paper [2] was not sufficient to resolve the fundamental issues raised by EPR. Decades later, Bohm rephrased the EPR problem [3] in terms of particles correlated in their spin and this helped enormously in analyzing the problem with clarity. John Bell analyzed the EPR problem in the early sixties and established the Bell’s inequalities obeyed by