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Violation of Bell’s Inequalities and the Idea of a Quantum Computer

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: closed (31 March 2021)

Special Issue Editor


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Guest Editor
Institute of Microelectronics Technology and High Purity Materials, Russian Academy of Sciences, Moscow region, Russia
Interests: foundations of quantum mechanics; second law of thermodynamics; fundamental obscurities in quantum mechanics; mesoscopic quantum phenomena
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Special Issue Information

Dear Colleagues,

Quantum mechanics is considered fairly to be the most successful theory of physics. But this theory arose as a result of fierce disputes between its creators, Planck, Einstein, Schrodinger, and others, on the one hand, and Bohr, Heisenberg, Dirac, and others, on the other hand. The quantum debate between Einstein and Bohr resulted in the emergence of the idea of quantum computation and modern controversy about the violation of Bell’s inequalities. Alain Aspect stated in his Viewpoint published in Physics 8, 123 (2015): "By closing two loopholes at once, three experimental tests of Bell’s inequalities remove the last doubts that we should renounce local realism. They also open the door to new quantum information technologies". The title of this Viewpoint "Closing the Door on Einstein and Bohr’s Quantum Debate" implies the completion of the quantum debate. But the discussions about Bell’s inequalities indicate that the quantum debate is far from over. Alain Aspect connects fairly the possibility of new quantum information technologies, in particular quantum computation, with the renouncement of realism, since these technologies are based on the EPR correlation, the most paradoxical quantum principle that contradicts realism. But here the question arises whether it is possible to create a real device, a quantum computer, based on the principle that contradicts realism. Numerous experimental violation of Bell's inequalities are considered to be evidence of the EPR correlation. Therefore, the unfinished quantum debate about Bell's inequalities is connected with the question about the reality of a quantum computer. This connection highlights the relevance of this Special Issue on "Violation of Bell’s inequalities and the idea of a quantum computer" in which different perspectives on the violation of Bell's inequalities and the reality of a quantum computer should be presented. The questions of the Issue concern a wide range of problems in physics, mathematics, philosophy, and even the history of quantum mechanics. The latter is important, since the problem of Bell's inequality and the idea of a quantum computer are difficult to understand correctly without knowing the history of creation and controversies about quantum mechanics. Philosophy is important in connection with the question of the possibility of refuting realism.

Dr. Alexey Nikulov
Guest Editor

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Published Papers (1 paper)

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Research

19 pages, 311 KiB  
Article
The GHSZ Argument: A Gedankenexperiment Requiring More Denken
by Frank Lad
Entropy 2020, 22(7), 759; https://doi.org/10.3390/e22070759 - 10 Jul 2020
Cited by 3 | Viewed by 1918
Abstract
I reassess the gedankenexperiment of Greenberger, Horne, Shimony, and Zeilinger after twenty-five years, finding their influential claim to the discovery of an inconsistency inherent in high dimensional formulations of local realism to arise from a fundamental error of logic. They manage this by [...] Read more.
I reassess the gedankenexperiment of Greenberger, Horne, Shimony, and Zeilinger after twenty-five years, finding their influential claim to the discovery of an inconsistency inherent in high dimensional formulations of local realism to arise from a fundamental error of logic. They manage this by presuming contradictory premises: that a specific linear combination of four angles involved in their proposed parallel experiments on two pairs of electrons equals both π and 0 at the same time. Ignoring this while presuming the contradictory implications of these two conditions, they introduce the contradiction themselves. The notation they use in their “derivation” is not sufficiently ornate to represent the entanglement in the double electron spin pair problem they design, confounding their error. The situation they propose actually motivates only an understanding of the full array of symmetries involved in their problem. In tandem with the error now recognised in the supposed defiance of Bell’s inequality by quantum probabilities, my reassessment of their work should motivate a reevaluation of the current consensus outlook regarding the principle of local realism and the proposition of hidden variables. Full article
(This article belongs to the Special Issue Violation of Bell’s Inequalities and the Idea of a Quantum Computer)
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