dorsal/arxiv
View SchemaOn the LOCC Classification of Bipartite Density Matrices
| Authors | Patrick Hayden, Barbara M. Terhal, Armin Uhlmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0011095 |
| URL | https://arxiv.org/abs/quant-ph/0011095 |
Abstract
We provide a unifying framework for exact, probabilistic, and approximate conversions by local operations and classical communication (LOCC) between bipartite states. This framework allows us to formulate necessary and sufficient conditions for LOCC conversions from pure states to mixed states and it provides necessary conditions for LOCC conversions between mixed states. The central idea is the introduction of convex sets for exact, probabilistic, and approximate conversions, which are closed under LOCC operations and which are largely characterized by simple properties of pure states.
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"abstract": "We provide a unifying framework for exact, probabilistic, and approximate\nconversions by local operations and classical communication (LOCC) between\nbipartite states. This framework allows us to formulate necessary and\nsufficient conditions for LOCC conversions from pure states to mixed states and\nit provides necessary conditions for LOCC conversions between mixed states. The\ncentral idea is the introduction of convex sets for exact, probabilistic, and\napproximate conversions, which are closed under LOCC operations and which are\nlargely characterized by simple properties of pure states.",
"arxiv_id": "quant-ph/0011095",
"authors": [
"Patrick Hayden",
"Barbara M. Terhal",
"Armin Uhlmann"
],
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"title": "On the LOCC Classification of Bipartite Density Matrices",
"url": "https://arxiv.org/abs/quant-ph/0011095"
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