dorsal/arxiv
View SchemaNonclassical correlation in a multipartite quantum system: two measures and evaluation
| Authors | Akira SaiToh, Robabeh Rahimi, Mikio Nakahara |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703133 |
| URL | https://arxiv.org/abs/quant-ph/0703133 |
| DOI | 10.1103/PhysRevA.77.052101 |
| Journal | Phys. Rev. A 77, 052101 (2008) |
Abstract
There is a commonly recognized paradigm in which a multipartite quantum system described by a density matrix having no product eigenbasis is considered to possess nonclassical correlation. Supporting this paradigm, we define two entropic measures of nonclassical correlation of a multipartite quantum system. One is defined as the minimum uncertainty about a joint system after we collect outcomes of particular local measurements. The other is defined by taking the maximum over all local systems about the minimum distance between a genuine set and a mimic set of eigenvalues of a reduced density matrix of a local system. The latter measure is based on an artificial game to create mimic eigenvalues of a reduced density matrix of a local system from eigenvalues of a density matrix of a global system. Numerical computation of these measures for several examples is performed.
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"abstract": "There is a commonly recognized paradigm in which a multipartite quantum\nsystem described by a density matrix having no product eigenbasis is considered\nto possess nonclassical correlation. Supporting this paradigm, we define two\nentropic measures of nonclassical correlation of a multipartite quantum system.\nOne is defined as the minimum uncertainty about a joint system after we collect\noutcomes of particular local measurements. The other is defined by taking the\nmaximum over all local systems about the minimum distance between a genuine set\nand a mimic set of eigenvalues of a reduced density matrix of a local system.\nThe latter measure is based on an artificial game to create mimic eigenvalues\nof a reduced density matrix of a local system from eigenvalues of a density\nmatrix of a global system. Numerical computation of these measures for several\nexamples is performed.",
"arxiv_id": "quant-ph/0703133",
"authors": [
"Akira SaiToh",
"Robabeh Rahimi",
"Mikio Nakahara"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.77.052101",
"journal_ref": "Phys. Rev. A 77, 052101 (2008)",
"title": "Nonclassical correlation in a multipartite quantum system: two measures and evaluation",
"url": "https://arxiv.org/abs/quant-ph/0703133"
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