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The dilemma of Einstein, Podolsky and Rosen - 60 years later : an International Symposium in Honour of Nathan Rosen - Haifa, March 1995

A. Mann, M. Revzen, Nathan Rosen

Published Jan 1, 1996• 3 citations
OpenAlex

Abstract

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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1. Quantum Mechanics, Reality and Separability: Physical Developments of the Einstein-Podolsky-Rosen Argument.- Realism in Quantum Mechanics and a New Version of the EPR Experiment.- Discussion: M. Cini, F. De Martini, K. Kraus, T.W. Marshall, K.R. Popper, H. Rauch, M.C. Robinson, F. Selleri, J. Six, G. Tarozzi, J.-P. Vigier..- The Physical Origin of the Einstein-Podolsky-Rosen Paradox.- Does the Bell Inequality Hold for All Local Theories?.- Is it Possible to Save Causality and Locality in Quantum Mechanics?.- Einstein-Podolsky-Rosen Experiments and Macroscopic Locality.- On the Compatibility of Local Realism with Atomic Cascade Experiments.- Is the Einstein-Podolsky-Rosen Paradox Demanded by Quantum Mechanics?.- Infinite Wave Resolution of the EPR Paradox.- On Non Local Influences.- Einstein Locality for Individual Systems and for Statistical Ensembles.- Can Nondetected Photons Simulate Nonlocal Effects in Two-Photon Polarization Correlation Experiments?.- 2. The Stochastic Interpretation of Quantum Processes.- Quantum Theory of Measurement without Wave Packet Collapse.- A Causal Fluidodynamical Model for the Relativistic Quantum Mechanics.- On the Nonlinear Schrodinger Equation.- Recent Developments in de Broglie Nonlinear Wave Mechanics.- The Role of the Quantum Potential in Determining Particle Trajectories and the Resolution of the Measurement Problem.- When is Statistical Theory Causal?.- Radiation Damping and Nonlinearity in the Pilot Wave Interpretation of Quantum Mechanics.- Stochastic Electrodynamics and the Bell Inequalities.- Nonlocal Quantum-Potential Interpretation of Relativistic Actions at a Distance in Many-Body Problems.- 3. The Realistic Interpretation of the Wave Function: Experimental Tests on the Wave-Particle Dualism.- Third Kind Measurements and Wave-Particle Dualism.- Quantum Effects in the Interference of Light.- Tests of Quantum Mechanics by Neutron Interferometry.- A Unified Experiment for Testing both the Interpretation and the Reduction Postulate of the Quantum Mechanical Wave Function.- Epilogue.- Evolutionary Epistemology.

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Julien Degorre

En 1935 Einstein, Podolsky et Rosen remarquent que certaines predictions de la physique quantique entrainent des correlations qui ne peuvent s'expliquer selon eux que si on introduit des cachees (paradoxe EPR). 30 ans plus tard, J. montre avec ses inegalites de Bell qu'il y a des etats quantiques dont les resultats de mesures d'Alice et Bob engendrent des correlations ne pouvant pas etre reproduites par un modele aux variables cachees locales (variables aleatoires partagees). En 1964, J. prouve alors une des plus etranges proprietes de la physique: la non localite. L'informatique quantique et particulierement la complexite de la communication fournit un cadre nouveau pour caracteriser la non localite. Si Alice et Bob utilisent des ressources additionnelles en plus des variables aleatoires partagees, peuvent-ils reproduire les correlations quantiques et si oui avec quelle quantite ? Nous reduisons ce probleme a un probleme d'echantillonnage distribue. Cette approche explique le role de chaque ressources (communication, post-selection, c-a-d efficacite des detecteurs, et boites non locales) et fournit un cadre coherent nous permettant de re-demontrer plus simplement et de generaliser les resultats precedents. Enfin nous considerons toutes les correlations respectant la causalite (excluant la possibilite de communication) c-a-d les correlations quantiques et celles au-dela. Nous introduisons un modele aux variables aleatoires partagees quasi-probabiliste qui nous permet de caracteriser les correlations causales. De plus nous montrons les liens entre l'utilisation des quasi-probabilite et les ressources additionnelles.

•Jan 1, 2007•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 Einstein-Podolsky-Rosen (EPR) paradox challenges the completeness of quantum mechanics under the assumptions of separability and locality, while Bell's theorem and its loophole-free experimental confirmations rule out local hidden variables and establish that entangled correlations are nonlocal yet no-signaling. This paper formulates, within the spacetime-quantum unified-field theory, a self-contained resolution of the paradox. Starting from the six axioms of the theory, we model the entangled pair as two local excitations of the single global spacetime-quantum field, a coherent superposition of discrete spacetime quanta (Axiom 1). We show that the EPR elements of reality are not attributes of the separated subsystems but properties of the global coherent configuration established within the common past light cone, so that EPR's tacit separability premise fails in this ontology (Axioms 1 and 5). Measurement is identified as a strictly local energy exchange (Axioms 2 and 5) whose influence propagates at most at the speed of light by the local hyperbolic master equation (Axiom 3), and we prove, by the invariance of the reduced density matrix, that no signaling is possible. The Bell correlations are reproduced as a consistency condition inherited from the standard-model sector (Axiom 4), with the Tsirelson bound 2√2 following from the no-signaling structure. Complete derivations of the correlation function, the Clauser-Horne-Shimony-Holt inequality and its violation, the no-signaling theorem, the local measurement model, and the coherence-entanglement relation are provided in the appendices.
1. Einstein A. Can quantum-mechanical description of physical reality be considered complete? / A. Einstein, B. Podolsky, N. Rosen // Phys. Rev. 47 — 1935 — 777. 2. Bell J.S. On the Einstein Podolsky Rosen paradox / Bell J.S. // Physics (Long Island City, N.Y.) 1 — 1964 — 195. 3. Brunner N. Bell nonlocality / N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, S. Wehner // Rev. Mod. Phys. 86 — 2014 — 419. 4. Fine. A Hidden variables, joint probability, and the Bell inequalities / A. Fine // Phys. Rev. Lett 48 — 1982 — 291. 5. Abramsky S. The sheaf-theoretic structure of non-locality and contextuality / S. Abramsky, A. Brandenburger // New J. Phys. 13 — 2011 — 113036. 6. Farkas G. Theorie der Einfachen Ungleichungen / G. Farkas // Journal für die Reine und Angewandte Mathematik 124 — 1902 — с. 1-27.
1. Quantum Mechanics, Reality and Separability: Physical Developments of the Einstein-Podolsky-Rosen Argument.- Realism in Quantum Mechanics and a New Version of the EPR Experiment.- Discussion: M. Cini, F. De Martini, K. Kraus, T.W. Marshall, K.R. Popper, H. Rauch, M.C. Robinson, F. Selleri, J. Six, G. Tarozzi, J.-P. Vigier..- The Physical Origin of the Einstein-Podolsky-Rosen Paradox.- Does the Bell Inequality Hold for All Local Theories?.- Is it Possible to Save Causality and Locality in Quantum Mechanics?.- Einstein-Podolsky-Rosen Experiments and Macroscopic Locality.- On the Compatibility of Local Realism with Atomic Cascade Experiments.- Is the Einstein-Podolsky-Rosen Paradox Demanded by Quantum Mechanics?.- Infinite Wave Resolution of the EPR Paradox.- On Non Local Influences.- Einstein Locality for Individual Systems and for Statistical Ensembles.- Can Nondetected Photons Simulate Nonlocal Effects in Two-Photon Polarization Correlation Experiments?.- 2. The Stochastic Interpretation of Quantum Processes.- Quantum Theory of Measurement without Wave Packet Collapse.- A Causal Fluidodynamical Model for the Relativistic Quantum Mechanics.- On the Nonlinear Schrodinger Equation.- Recent Developments in de Broglie Nonlinear Wave Mechanics.- The Role of the Quantum Potential in Determining Particle Trajectories and the Resolution of the Measurement Problem.- When is Statistical Theory Causal?.- Radiation Damping and Nonlinearity in the Pilot Wave Interpretation of Quantum Mechanics.- Stochastic Electrodynamics and the Bell Inequalities.- Nonlocal Quantum-Potential Interpretation of Relativistic Actions at a Distance in Many-Body Problems.- 3. The Realistic Interpretation of the Wave Function: Experimental Tests on the Wave-Particle Dualism.- Third Kind Measurements and Wave-Particle Dualism.- Quantum Effects in the Interference of Light.- Tests of Quantum Mechanics by Neutron Interferometry.- A Unified Experiment for Testing both the Interpretation and the Reduction Postulate of the Quantum Mechanical Wave Function.- Epilogue.- Evolutionary Epistemology.
En 1935 Einstein, Podolsky et Rosen remarquent que certaines predictions de la physique quantique entrainent des correlations qui ne peuvent s'expliquer selon eux que si on introduit des cachees (paradoxe EPR). 30 ans plus tard, J. montre avec ses inegalites de Bell qu'il y a des etats quantiques dont les resultats de mesures d'Alice et Bob engendrent des correlations ne pouvant pas etre reproduites par un modele aux variables cachees locales (variables aleatoires partagees). En 1964, J. prouve alors une des plus etranges proprietes de la physique: la non localite. L'informatique quantique et particulierement la complexite de la communication fournit un cadre nouveau pour caracteriser la non localite. Si Alice et Bob utilisent des ressources additionnelles en plus des variables aleatoires partagees, peuvent-ils reproduire les correlations quantiques et si oui avec quelle quantite ? Nous reduisons ce probleme a un probleme d'echantillonnage distribue. Cette approche explique le role de chaque ressources (communication, post-selection, c-a-d efficacite des detecteurs, et boites non locales) et fournit un cadre coherent nous permettant de re-demontrer plus simplement et de generaliser les resultats precedents. Enfin nous considerons toutes les correlations respectant la causalite (excluant la possibilite de communication) c-a-d les correlations quantiques et celles au-dela. Nous introduisons un modele aux variables aleatoires partagees quasi-probabiliste qui nous permet de caracteriser les correlations causales. De plus nous montrons les liens entre l'utilisation des quasi-probabilite et les ressources additionnelles.