dorsal/arxiv
View SchemaQuantification of quantum correlation of ensemble of states
| Authors | Michal Horodecki, Aditi Sen De, Ujjwal Sen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310100 |
| URL | https://arxiv.org/abs/quant-ph/0310100 |
| DOI | 10.1103/PhysRevA.75.062329 |
| Journal | Phys. Rev. A 75, 062329 (2007) |
Abstract
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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"abstract": "We present first measure of quantum correlation of an ensemble of multiparty\nstates. It is based on the idea of minimal entropy production in a locally\ndistinguishable basis measurement. It is shown to be a relative entropy\ndistance from a set of ensembles. For bipartite ensembles, which span the whole\nbipartite Hilbert space, the measure is bounded below by average relative\nentropy of entanglement. We naturally obtain a monotonicity axiom for any\nmeasure of quantum correlation of ensembles. We evaluate this measure for\ncertain cases. Subsequently we use this measure to propose a complementarity\nrelation between our measure and the accessible information obtainable about\nthe ensemble under local operations. The measure along with the monotonicity\naxiom are well-defined even for the case of a single system, where the\ncomplementarity relation is seen to be yet another face of the \"Heisenberg\nuncertainty relation\".",
"arxiv_id": "quant-ph/0310100",
"authors": [
"Michal Horodecki",
"Aditi Sen De",
"Ujjwal Sen"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.062329",
"journal_ref": "Phys. Rev. A 75, 062329 (2007)",
"title": "Quantification of quantum correlation of ensemble of states",
"url": "https://arxiv.org/abs/quant-ph/0310100"
},
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