Bell’s theorem

2018 ◽  
Author(s):  
Arthur Fine
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Experimental Tests ◽  
Bell Inequalities ◽  
Bell’S Theorem ◽  
Bell's Theorem ◽  
Bell Theorem ◽  
System Of Inequalities ◽  
Action At A Distance ◽  
High Degree

Bell’s theorem is concerned with the outcomes of a special type of ‘correlation experiment’ in quantum mechanics. It shows that under certain conditions these outcomes would be restricted by a system of inequalities (the ‘Bell inequalities’) that contradict the predictions of quantum mechanics. Various experimental tests confirm the quantum predictions to a high degree and hence violate the Bell inequalities. Although these tests contain loopholes due to experimental inefficiencies, they do suggest that the assumptions behind the Bell inequalities are incompatible not only with quantum theory but also with nature. A central assumption used to derive the Bell inequalities is a species of no-action-at-a-distance, called ‘locality’: roughly, that the outcomes in one wing of the experiment cannot immediately be affected by measurements performed in another wing (spatially distant from the first). For this reason the Bell theorem is sometimes cited as showing that locality is incompatible with the quantum theory, and the experimental tests as demonstrating that nature is nonlocal. These claims have been contested.

Bell theorem without inequalities for two particles. I. Efficient detectors

2008 ◽  
Vol 78 (2) ◽  
Author(s):  
Daniel M. Greenberger ◽  
Michael Horne ◽  
Anton Zeilinger
Keyword(s):  
Bell Theorem

Bell theorem without inequalities for two spinless particles

1993 ◽  
Vol 47 (1) ◽  
pp. 78-84 ◽  
Author(s):  
Herbert J. Bernstein ◽  
Daniel M. Greenberger ◽  
Michael A. Horne ◽  
Anton Zeilinger
Keyword(s):  
Bell Theorem

Bell Theorem without Inequality for Some Generalized GHZ and W States

2007 ◽  
Vol 24 (11) ◽  
pp. 3036-3039 ◽  
Author(s):  
Ren Chang-Liang ◽  
Shi Ming-Jun ◽  
Du Jiang-Feng
Keyword(s):  
W States ◽  
Bell Theorem

scholarly journals Non-Local Realistic Theories and the Scope of the Bell Theorem

2008 ◽  
Vol 38 (12) ◽  
pp. 1110-1132 ◽  
Author(s):  
Federico Laudisa
Keyword(s):  
Bell Theorem ◽  
Non Local

scholarly journals The Bell Theorem as a Special Case of a Theorem of Bass

2005 ◽  
Vol 35 (10) ◽  
pp. 1749-1767 ◽  
Author(s):  
Karl Hess ◽  
Walter Philipp
Keyword(s):  
Bell Theorem ◽  
Special Case
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