dorsal/arxiv
View SchemaA new inequality for the von Neumann entropy
| Authors | Noah Linden, Andreas Winter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406162 |
| URL | https://arxiv.org/abs/quant-ph/0406162 |
| DOI | 10.1007/s00220-005-1361-2 |
| Journal | Commun Math Phys, vol 259, pp 129-138 (2005). |
Abstract
Strong subadditivity of von Neumann entropy, proved in 1973 by Lieb and Ruskai, is a cornerstone of quantum coding theory. All other known inequalities for entropies of quantum systems may be derived from it. Here we prove a new inequality for the von Neumann entropy which we prove is independent of strong subadditivity: it is an inequality which is true for any four party quantum state, provided that it satisfies three linear relations (constraints) on the entropies of certain reduced states.
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"abstract": "Strong subadditivity of von Neumann entropy, proved in 1973 by Lieb and\nRuskai, is a cornerstone of quantum coding theory. All other known inequalities\nfor entropies of quantum systems may be derived from it. Here we prove a new\ninequality for the von Neumann entropy which we prove is independent of strong\nsubadditivity: it is an inequality which is true for any four party quantum\nstate, provided that it satisfies three linear relations (constraints) on the\nentropies of certain reduced states.",
"arxiv_id": "quant-ph/0406162",
"authors": [
"Noah Linden",
"Andreas Winter"
],
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"quant-ph"
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"doi": "10.1007/s00220-005-1361-2",
"journal_ref": "Commun Math Phys, vol 259, pp 129-138 (2005).",
"title": "A new inequality for the von Neumann entropy",
"url": "https://arxiv.org/abs/quant-ph/0406162"
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