Test of the violation of local realism in quantum mechanics with no use of Bell's inequalities

Erkenntnis ◽  
1996 ◽  
Vol 45 (2-3) ◽  
pp. 367-377
Author(s):  
G. Di Giuseppe ◽  
F. De Martini ◽  
D. Boschi
Keyword(s):  
Quantum Mechanics ◽  
Local Realism ◽  
Bell’S Inequalities ◽  
Bell's Inequalities

scholarly journals QUANTUM TEAM LOGIC AND BELL’S INEQUALITIES

2015 ◽  
Vol 8 (4) ◽  
pp. 722-742 ◽  
Author(s):  
TAPANI HYTTINEN ◽  
GIANLUCA PAOLINI ◽  
JOUKO VÄÄNÄNEN
Keyword(s):  
Quantum Mechanics ◽  
Completeness Theorem ◽  
Probability Logic ◽  
Bell’S Inequalities ◽  
Dependence Logic ◽  
Logical Approach ◽  
Team Semantics ◽  
Bell's Inequalities

AbstractA logical approach to Bell’s Inequalities of quantum mechanics has been introduced by Abramsky and Hardy (Abramsky & Hardy, 2012). We point out that the logical Bell’s Inequalities of Abramsky & Hardy (2012) are provable in the probability logic of Fagin, Halpern and Megiddo (Fagin et al., 1990). Since it is now considered empirically established that quantum mechanics violates Bell’s Inequalities, we introduce a modified probability logic, that we call quantum team logic, in which Bell’s Inequalities are not provable, and prove a Completeness theorem for this logic. For this end we generalise the team semantics of dependence logic (Väänänen, 2007) first to probabilistic team semantics, and then to what we call quantum team semantics.

Bell's inequalities for quantum mechanics

1992 ◽  
Vol 167 (1) ◽  
pp. 6-10 ◽  
Author(s):  
H.E. Andås
Keyword(s):  
Quantum Mechanics ◽  
Bell’S Inequalities ◽  
Bell's Inequalities

scholarly journals Quantum mechanics and Bell’s inequalities

1994 ◽  
Vol 72 (17) ◽  
pp. 2675-2677 ◽  
Author(s):  
R. T. Jones ◽  
E. G. Adelberger
Keyword(s):  
Quantum Mechanics ◽  
Bell’S Inequalities ◽  
Bell's Inequalities

scholarly journals MEASUREMENT IN QUANTUM PHYSICS

1999 ◽  
Vol 08 (03) ◽  
pp. 257-287 ◽  
Author(s):  
MICHAEL DANOS ◽  
TIEN D. KIEU
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Quantum Measurement ◽  
Quantum Physics ◽  
Quantum Fields ◽  
Bell’S Inequalities ◽  
Bell's Inequalities ◽  
Conceptual Problems

The conceptual problems in quantum mechanics — related to the collapse of the wave function, the particle-wave duality, the meaning of measurement — arise from the need to ascribe particle character to the wave function. As will be shown, all these problems dissolve when working instead with quantum fields, which have both wave and particle character. Otherwise the predictions of quantum physics, including Bell's inequalities, coincide with those of the conventional treatments. The process of decoherence which governs the transfer of the results of the quantum measurement to the classical realm is also carefully discussed.

scholarly journals Violation of Bell’s inequalities in a quantum realistic framework

2016 ◽  
Vol 14 (04) ◽  
pp. 1640002 ◽  
Author(s):  
Alexia Auffèves ◽  
Philippe Grangier
Keyword(s):  
Quantum Mechanics ◽  
Physical Properties ◽  
Point Of View ◽  
Bell’S Inequalities ◽  
Quantum Realism ◽  
Action At A Distance ◽  
Classical Realism ◽  
Bell's Inequalities ◽  
Non Locality ◽  
Realist View

We discuss the recently observed “loophole free” violation of Bell’s inequalities in the framework of a physically realist view of quantum mechanics (QM), which requires that physical properties are attributed jointly to a system, and to the context in which it is embedded. This approach is clearly different from classical realism, but it does define a meaningful “quantum realism” from a general philosophical point of view. Consistently with Bell test experiments, this quantum realism embeds some form of non-locality, but does not contain any action at a distance, in agreement with QM.

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