dorsal/arxiv
View SchemaOptimal Visible Compression Rate For Mixed States Is Determined By Entanglement Of Purification
| Authors | Masahito Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511267 |
| URL | https://arxiv.org/abs/quant-ph/0511267 |
| DOI | 10.1103/PhysRevA.73.060301 |
| Journal | Physical Review A, Vol. 73, 060301(R) (2006) |
Abstract
Entanglement of purification was introduced by Terhal et al. for characterizing the bound of the generation of correlated states from maximally entangled states with sublinear size of classical communication. On the other hand, M. Horodecki obtained the optimal compression rate with a mixed states ensemble in the visible setting. In this paper, we prove that the optimal visible compression rate for mixed states is equal to the limit of the regularized entanglement of purification of the state corresponding to the given ensemble. This result gives a new interpretation to the entanglement of purification.
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"abstract": "Entanglement of purification was introduced by Terhal et al. for\ncharacterizing the bound of the generation of correlated states from maximally\nentangled states with sublinear size of classical communication. On the other\nhand, M. Horodecki obtained the optimal compression rate with a mixed states\nensemble in the visible setting. In this paper, we prove that the optimal\nvisible compression rate for mixed states is equal to the limit of the\nregularized entanglement of purification of the state corresponding to the\ngiven ensemble. This result gives a new interpretation to the entanglement of\npurification.",
"arxiv_id": "quant-ph/0511267",
"authors": [
"Masahito Hayashi"
],
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"doi": "10.1103/PhysRevA.73.060301",
"journal_ref": "Physical Review A, Vol. 73, 060301(R) (2006)",
"title": "Optimal Visible Compression Rate For Mixed States Is Determined By Entanglement Of Purification",
"url": "https://arxiv.org/abs/quant-ph/0511267"
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