dorsal/arxiv
View SchemaAre all maximally entangled states pure?
| Authors | Daniel Cavalcanti, Fernando G. S. L. Brandao, Marcelo O. Terra Cunha |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505121 |
| URL | https://arxiv.org/abs/quant-ph/0505121 |
| DOI | 10.1103/PhysRevA.72.040303 |
| Journal | Phys. Rev. A 72, 040303(R) (2005) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We study if all maximally entangled states are pure through several entanglement monotones. In the bipartite case, we find that the same conditions which lead to the uniqueness of the entropy of entanglement as a measure of entanglement, exclude the existence of maximally mixed entangled states. In the multipartite scenario, our conclusions allow us to generalize the idea of monogamy of entanglement: we establish the \textit{polygamy of entanglement}, expressing that if a general state is maximally entangled with respect to some kind of multipartite entanglement, then it is necessarily factorized of any other system.
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"abstract": "We study if all maximally entangled states are pure through several\nentanglement monotones. In the bipartite case, we find that the same conditions\nwhich lead to the uniqueness of the entropy of entanglement as a measure of\nentanglement, exclude the existence of maximally mixed entangled states. In the\nmultipartite scenario, our conclusions allow us to generalize the idea of\nmonogamy of entanglement: we establish the \\textit{polygamy of entanglement},\nexpressing that if a general state is maximally entangled with respect to some\nkind of multipartite entanglement, then it is necessarily factorized of any\nother system.",
"arxiv_id": "quant-ph/0505121",
"authors": [
"Daniel Cavalcanti",
"Fernando G. S. L. Brandao",
"Marcelo O. Terra Cunha"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.72.040303",
"journal_ref": "Phys. Rev. A 72, 040303(R) (2005)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Are all maximally entangled states pure?",
"url": "https://arxiv.org/abs/quant-ph/0505121"
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