Quantification of quantum correlation of ensemble of states

Details Quantification of quantum correlation of ensemble of states Quantification of quantum correlation of ensemble of states

2003-10-15

arxiv.org/abs/quant-ph/0310100v1

Phys. Rev. A 75, 062329 (2007)

Physics

Quantum Physics

4 pages, no figures, RevTeX4

Scientific paper

10.1103/PhysRevA.75.062329

We present first measure of quantum correlation of an ensemble of multiparty states. It is based on the idea of minimal entropy production in a locally distinguishable basis measurement. It is shown to be a relative entropy distance from a set of ensembles. For bipartite ensembles, which span the whole bipartite Hilbert space, the measure is bounded below by average relative entropy of entanglement. We naturally obtain a monotonicity axiom for any measure of quantum correlation of ensembles. We evaluate this measure for certain cases. Subsequently we use this measure to propose a complementarity relation between our measure and the accessible information obtainable about the ensemble under local operations. The measure along with the monotonicity axiom are well-defined even for the case of a single system, where the complementarity relation is seen to be yet another face of the "Heisenberg uncertainty relation".

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