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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Test of Local Realism into the Past without Detection and Locality Loopholes.
Ming-Han Li,Cheng Wu,Yanbao Zhang,Wen-Zhao Liu,Bing Bai,Yang Liu,Weijun Zhang,Qi Zhao,Hao Li,Zhen Wang,Lixing You,William J. Munro,Juan Yin,Jun Zhang,Cheng-Zhi Peng,Xiongfeng Ma,Qiang Zhang,Jingyun Fan,Jian-Wei Pan +18 more
TL;DR: A test that achieves an efficiency greater than (78%)^{2} for entangled photon pairs separated by 183 m, and an upper bound on the p value clearly indicates the rejection with high confidence of potential local hidden variable models.
Journal ArticleDOI
Entropic Bell inequalities
Nicolas J. Cerf,Chris Adami +1 more
TL;DR: In this paper, the authors derive entropic Bell inequalities from considering entropy Venn diagrams, which imply that the conditional entropies of Bell variables must be negative for a quantum-mechanical Einstein-Podolsky-Rosen pair.
Journal ArticleDOI
Arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality
TL;DR: It is proved that even in the simplest Bell test-one involving 2 parties each performing 2 binary-outcome measurements-an arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality.
Journal ArticleDOI
Generation of Fresh and Pure Random Numbers for Loophole-Free Bell Tests.
Carlos Abellan,Waldimar Amaya,Daniel Mitrani,Valerio Pruneri,Valerio Pruneri,Morgan W. Mitchell,Morgan W. Mitchell +6 more
TL;DR: It is demonstrated extraction of randomness from spontaneous-emission events less than 36 ns in the past, giving output bits with excess predictability below 10-5 and strong metrological randomness assurances.
Quantum Computing and Communication Complexity
TL;DR: In this article, the authors propose a method to solve the problem of "uniformity" in the following: 0.193, 0.23, 0., 0.0.
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.