dorsal/arxiv
View SchemaClassical information deficit and monotonicity on local operations
| Authors | Barbara Synak, Michal Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403167 |
| URL | https://arxiv.org/abs/quant-ph/0403167 |
| DOI | 10.1088/0305-4470/37/47/015 |
| Journal | J. Phys. A: Math. Gen. 37 (2004) 11465-11474 |
Abstract
We investigate classical information deficit: a candidate for measure of classical correlations emerging from thermodynamical approach initiated in [Phys. Rev. Lett 89, 180402]. It is defined as a difference between amount of information that can be concentrated by use of LOCC and the information contained in subsystems. We show nonintuitive fact, that one way version of this quantity can increase under local operation, hence it does not possess property required for a good measure of classical correlations. Recently it was shown by Igor Devetak, that regularised version of this quantity is monotonic under LO. In this context, our result implies that regularization plays a role of "monotoniser".
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"abstract": "We investigate classical information deficit: a candidate for measure of\nclassical correlations emerging from thermodynamical approach initiated in\n[Phys. Rev. Lett 89, 180402]. It is defined as a difference between amount of\ninformation that can be concentrated by use of LOCC and the information\ncontained in subsystems. We show nonintuitive fact, that one way version of\nthis quantity can increase under local operation, hence it does not possess\nproperty required for a good measure of classical correlations. Recently it was\nshown by Igor Devetak, that regularised version of this quantity is monotonic\nunder LO. In this context, our result implies that regularization plays a role\nof \"monotoniser\".",
"arxiv_id": "quant-ph/0403167",
"authors": [
"Barbara Synak",
"Michal Horodecki"
],
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"quant-ph"
],
"doi": "10.1088/0305-4470/37/47/015",
"journal_ref": "J. Phys. A: Math. Gen. 37 (2004) 11465-11474",
"title": "Classical information deficit and monotonicity on local operations",
"url": "https://arxiv.org/abs/quant-ph/0403167"
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