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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Experimentally testable state-independent quantum contextuality.
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Eigenvectors of two particles’ relative position and total momentum
TL;DR: The explicit form of the common eigenvectors of the relative position and total momentum of two particles which were considered by Einstein, Podolsky, and Rosen in their argument that the quantum-mechanical state vector is not complete are given.
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Hybrid discrete- and continuous-variable quantum information
TL;DR: The traditional approaches to quantum information processing using either discrete or continuous variables can be combined in hybrid protocols for tasks including quantum teleportation, computation, entanglement distillation or Bell tests.
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The “Past” and the “Delayed-Choice” Double-Slit Experiment
TL;DR: In this article, the authors discuss the question whether the photon or the electron may have come through both the slits or only through one of them after it has already transversed that screen.
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The uncertainty principle determines the nonlocality of quantum mechanics.
TL;DR: Two central concepts of quantum mechanics, Heisenberg’s uncertainty principle and a subtle form of nonlocality that Einstein famously called “spooky action at a distance,” are shown to be linked.
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.