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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All Bipartite Entangled States Display Some Hidden Nonlocality
TL;DR: It is demonstrated that a violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality can be demonstrated in a certain kind of Bell experiment for all entangled states, and it is proved that for each entangled state sigma, there exists another state rho not violating the CHSH inequality.
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Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems
Ioannis Kogias,Ioannis Kogias,Paul Skrzypczyk,Paul Skrzypczyk,Daniel Cavalcanti,Antonio Acín,Gerardo Adesso +6 more
TL;DR: This work provides a hierarchy of sufficient conditions for the steerability of bipartite quantum states of any dimension, including continuous variable states, and provides a systematic framework to analytically derive nonlinear steering criteria.
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Einstein–Podolsky–Rosen steering and the steering ellipsoid
TL;DR: In this paper, a strong necessary condition for the steerability of two-qubit states having maximally mixed reduced states, via the construction of local hidden state models, was obtained.
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Generation and discrimination of a type of four-partite entangled state
Xin-Wen Wang,Guo-Jian Yang +1 more
TL;DR: Yeo et al. as mentioned in this paper presented a simple scheme for generating a genuine four-qubit entangled state in an ion-trap system and demonstrated how to discriminate between the 16 basis states.
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.