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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Quantum nonlocality for each pair in an ensemble
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Quasi-Quantization: Classical Statistical Theories with an Epistemic Restriction
TL;DR: An overview of epistricted quantum theories can be found in this article, where the authors consider both continuous and discrete degrees of freedom and show that a particular epistemic restriction called classical complementarity provides the beginning of a unification of all known epistricted theories.
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Quantum theory from quantum gravity
Fotini Markopoulou,Lee Smolin +1 more
TL;DR: In this article, the authors provide a mechanism by which, from a background independent model with no quantum mechanics, quantum theory arises in the same limit in which spatial properties appear, starting with an arbitrary abstract graph as the microscopic model of spacetime.
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Quantum to classical phase transition in noisy quantum computers
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Quantum clustering algorithms
TL;DR: This paper begins the idea of quantizing clustering algorithms by using variations on a celebrated quantum algorithm due to Grover, and illustrates it with a quantized version of three standard algorithms: divisive clustering, k-medians and an algorithm for the construction of a neighbourhood graph.
References
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Journal ArticleDOI
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.