Quantification of quantum correlation of ensembles of states
- Instytut Fizyki Teoretycznej i Astrofizyki, Uniwersytet Gdanski, PL-80-952 Gdansk (Poland)
We present a measure of quantum correlation of an ensemble of multiparty states. It is based on the idea of minimal entropy production in a measurement whose elements are locally distinguishable. It is shown, for pure ensembles, to be a relative entropy distance from a set of ensembles. For pure bipartite ensembles, which span the whole bipartite Hilbert space, the measure is bounded below by the average entanglement. We naturally obtain a monotonicity axiom for any measure of quantum correlation of ensembles for single systems. We evaluate the 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 is 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'.
- OSTI ID:
- 20991114
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 75; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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