scholarly journals Holistic Ensemble Interpretation of Quantum Mechanics and Bell’s Inequalities

2021 ◽  
Vol 49 (1) ◽  
pp. 15-31
Author(s):  
Hisato SHIRAI
Keyword(s):  
Quantum Mechanics ◽  
Interpretation Of Quantum Mechanics ◽  
Bell’S Inequalities ◽  
Bell's Inequalities ◽  
Ensemble Interpretation

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.

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 CORRELATIONS IN ENTANGLED STATES

2006 ◽  
Vol 20 (11n13) ◽  
pp. 1496-1503
Author(s):  
B. C. SANCTUARY
Keyword(s):  
Quantum Mechanics ◽  
Singlet State ◽  
Entangled States ◽  
Quantum Mechanical ◽  
Interpretation Of Quantum Mechanics ◽  
Hidden Variable ◽  
Phase Decoherence ◽  
Classical Correlations ◽  
Spin Pairs ◽  
Ensemble Interpretation

Entangled EPR spin pairs can be treated using the statistical ensemble interpretation of quantum mechanics. As such the singlet state results from an ensemble of spin pairs each with its own specific axis of quantization. This axis acts like a quantum mechanical hidden variable. If the spins lose coherence they disentangle into a mixed state that contains classical correlations. In this paper an infinitesimal phase decoherence is introduced to the singlet state in order to reveal more clearly some of the correlations. It is shown that a singlet state has no classical correlations.

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

Scientific Realism and Constructive Empiricism

2020 ◽  
Vol 57 (2) ◽  
pp. 179-191
Author(s):  
Alexander A. Pechenkin ◽  
Keyword(s):  
Quantum Mechanics ◽  
Philosophy Of Science ◽  
Scientific Realism ◽  
Empirical Adequacy ◽  
Constructive Empiricism ◽  
Interpretation Of Quantum Mechanics ◽  
Contemporary Philosophy ◽  
The Real ◽  
Real Existence ◽  
Ensemble Interpretation

Two conceptions of the contemporary philosophy of science are taken under consideration: scientific realism and constructive empiricism. Scientific realism presupposes 1) the conception of truth as the correspondence of knowledge to reality, 2) the real existence of entities postulated by a theory. The constructive empiricism puts forward the idea of empirical adequacy: science aims to give us the theories which are empirically adequate and acceptance of the theory involves as belief only that it is empirically adequate. To compare methodological resources of these two positions in the philosophy of science the problem of the interpretation of quantum mechanics is involved. As a methodological realization of scientific realism the ensemble interpretation of quantum mechanics is taken under consideration. K.Popper’s version

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
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