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・ Quantum oscillations (experimental technique)
・ Quantum paraelectricity
・ Quantum pendulum
・ Quantum Pharmaceutical
・ Quantum phase estimation algorithm
・ Quantum phase transition
・ Quantum complexity theory
・ Quantum compression
・ Quantum computing
・ Quantum concentration
・ Quantum configuration space
・ Quantum contextuality
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・ Quantum convolutional code
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Quantum correlation
・ Quantum cosmology
・ Quantum coupling
・ Quantum critical point
・ Quantum cryptography
・ Quantum cylindrical quadrupole
・ Quantum Darwinism
・ Quantum decoherence
・ Quantum defect
・ Quantum depolarizing channel
・ Quantum Detectors
・ Quantum differential calculus
・ Quantum digital signature
・ Quantum dilogarithm
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Quantum correlation : ウィキペディア英語版
Quantum correlation
In Bell test experiments, the term quantum correlation has come to mean the expectation value of the product of the outcomes on the two sides. In other words, the expected change in physical characteristics as one quantum system passes through an interaction site. In John Bell's 1964 paper that inspired the Bell tests, it was assumed that the outcomes A and B could each only take one of two values, -1 or +1. It followed that the product, too, could only be -1 or +1, so that the average value of the product would be
:\frac- N_+N_} + N_+ N_ + N_
the total number of observed coincidences. The legitimacy of this method relies on the assumption that the observed coincidences constitute a fair sample of the emitted pairs.
Following local realist assumptions as in Bell's 1964 paper, the estimated quantum correlation will converge after a sufficient number of trials to
:QC(a, b) = \int d \lambda \rho (\lambda) A(a, \lambda)B(b, \lambda)
where ''a'' and ''b'' are detector settings and λ is the hidden variable, drawn from a distribution ρ(λ).
The quantum correlation is the key statistic in the CHSH and some of the other "Bell inequalities", tests of which open the way for experimental discrimination between quantum mechanics on the one hand and local realism or local hidden variable theory on the other.
==References==
J. S. Bell, Speakable and Unspeakable in Quantum Mechanics, (Cambridge University Press 1987) ISBN 0-521-52338-9

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