On the Einstein-Podolsky-Rosen paradox
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In this article, it was shown that even without such a separability or locality requirement, no hidden variable interpretation of quantum mechanics is possible and that such an interpretation has a grossly nonlocal structure, which is characteristic of any such theory which reproduces exactly the quantum mechanical predictions.Abstract:
THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables These additional variables were to restore to the theory causality and locality [2] In this note that idea will be formulated mathematically and shown to be incompatible with the statistical predictions of quantum mechanics It is the requirement of locality, or more precisely that the result of a measurement on one system be unaffected by operations on a distant system with which it has interacted in the past, that creates the essential difficulty There have been attempts [3] to show that even without such a separability or locality requirement no "hidden variable" interpretation of quantum mechanics is possible These attempts have been examined elsewhere [4] and found wanting Moreover, a hidden variable interpretation of elementary quantum theory [5] has been explicitly constructed That particular interpretation has indeed a grossly nonlocal structure This is characteristic, according to the result to be proved here, of any such theory which reproduces exactly the quantum mechanical predictionsread more
Citations
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Bell theorem involving all settings of measuring apparatus
TL;DR: The Bell theorem for the entire range of the correlation function was formulated in this paper for the GHZ-type experiment for a large number (N ) of particles and the theorem predicts asymptotic (N → ∞) orthogonality of the quantum and local realistic predictions for the correlation functions.
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Two-qubit mixed states more entangled than pure states: Comparison of the relative entropy of entanglement for a given nonlocality
TL;DR: In this article, it was shown that even local amplitude damping of one or two qubits can result in mixed states more entangled than pure states if one compares the relative entropy of entanglement (REE) for a given degree of the Bell-Clauser-Horne-Shimony-Holt inequality violation (referred to as nonlocality).
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Experimental Violation of Bell's Inequality in Spatial-Parity Space
TL;DR: It is reported that the first experimental violation of Bell's inequality in the spatial domain is reported using the Einstein-Podolsky-Rosen state, a violation of the inequality by more than 24 standard deviations.
Journal ArticleDOI
Locality, Bell's theorem, and quantum mechanics
TL;DR: In this paper, it has been argued that even if realism is not assumed, the violation of the Bell inequalities implies non-locality, and hence radical changes are necessary in the foundations of physics.
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Fundamental monogamy relation between contextuality and nonlocality.
TL;DR: The results show the existence of fundamental monogamy relations between contextuality and nonlocality that suggest that entanglement might be a particular form of a more fundamental resource.
References
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Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
TL;DR: Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that one is led to conclude that the description of reality as given by a wave function is not complete.
Journal ArticleDOI
Discussion of Experimental Proof for the Paradox of Einstein, Rosen, and Podolsky
D. Bohm,Yakir Aharonov +1 more
TL;DR: A brief review of the physical significance of the paradox of Einstein, Rosen, and Podolsky is given, and it is shown that it involves a kind of correlation of the properties of distant noninteracting systems, which is quite different from previously known kinds of correlation as discussed by the authors.