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Foundations of Physics

Quantum and Classical Correlations in Quantum Measurement

Zhengjun Xi, Yongming Li

Published Oct 11, 2012• 6 citations
Publisher
DOI
10.1007/s10701-012-9686-0

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In classic measurement theory each measurement result has a precision which becomes infinitesimal as noise and distortion approach zero. I. e., exact repetitive measurement results are theoretically possible. This classic measurement theory is not well correlated with experimental measurement results. Because, when noise and distortion are minimized, repetitive experimental measurement results display a Gaussian distribution. This paper first correlates classic and experimental measurements by developing a new measurement function and related definitions. Then this new measurement function is shown to correlate with quantum measurement theory and resolve existing quantum measurement perplexities.
Measure-induced non-classicality( MINC) in a family of bipartite separable qubit-qutrit correlated states was evaluated by using the MID method proposed by the reference [Luo S L. Using measurement-induced disturbance to characterize correlations as classical or quantum[J]. Phys Rev A,2008,77: 022301]. Specifically,classical correlation in each state was derived via the spectrum resolution technique and then the MINC( i. e.,quantum correlation) was extracted. The MINC was amply analyzed so that some distinct features were exposed.