Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality

Details Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality

2009-05-13

arxiv.org/abs/0905.2123v2

Phys Rev A 80, 032319 (2009)

Physics

Quantum Physics

15 pages, 4 figures, references added

Scientific paper

10.1103/PhysRevA.80.032319

We consider the classical correlations that two observers can extract by measurements on a bipartite quantum state, and we discuss how they are related to the quantum mutual information of the state. We show with several examples how complementarity gives rise to a gap between the quantum and the classical correlations, and we relate our quantitative finding to the so-called classical correlation locked in a quantum state. We derive upper bounds for the sum of classical correlation obtained by measurements in different mutually unbiased bases and we show that the complementarity gap is also present in the deterministic quantum computation with one quantum bit.

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