Exact quantum correlations of conjugate variables from joint quadrature measurements

Roy, S. M. (2013) Exact quantum correlations of conjugate variables from joint quadrature measurements Physics Letters A, 377 (34-36). pp. 2011-2015. ISSN 0375-9601

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.physleta.2013.07.003

Abstract

We demonstrate that for two canonically conjugate operators q̂, p̂, the global correlation 〈q̂p̂+p̂q̂〉−2〈q̂〉〈p̂〉, and the local correlations 〈q̂〉(p)−〈q̂〉 and 〈p̂〉(q)−〈p̂〉 can be measured exactly by Von Neumann–Arthurs–Kelly joint quadrature measurements. Here 〈p̂〉(q) and 〈q̂〉(p) denote the conditional expectation values of momentum at a given position, and position at a given momentum respectively. These correlations provide a sensitive experimental test of quantum phase space probabilities quite distinct from the probability densities of q, p. E.g. for EPR states, and entangled generalized coherent states, phase space probabilities which reproduce the correct position and momentum probability densities have to be modified to reproduce these correlations as well.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Position–momentum Correlation; Von Neumann–Arthurs–Kelly Joint Quadrature Measurement; EPR State; Generalized Coherent State
ID Code:97858
Deposited On:16 Dec 2013 10:46
Last Modified:16 Dec 2013 10:46

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