dorsal/arxiv
View SchemaInefficiency and classical communication bounds for conversion between partially entangled pure bipartite states
| Authors | Ben Fortescue, Hoi-Kwong Lo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411200 |
| URL | https://arxiv.org/abs/quant-ph/0411200 |
| DOI | 10.1103/PhysRevA.72.032336 |
| Journal | Phys. Rev. A *72*, 032336 (2005) |
Abstract
We derive lower limits on the inefficiency and classical communication costs of dilution between two-term bipartite pure states that are partially entangled. We first calculate explicit relations between the allowable error and classical communication costs of entanglement dilution using the protocol of Lo-Popescu and then consider a two-stage dilution from singlets with this protocol followed by some unknown protocol for conversion between partially entangled states. Applying the lower bounds on classical communication and inefficiency of Harrow-Lo and Hayden-Winter to this two-stage protocol, we derive bounds for the unknown protocol. In addition we derive analogous (but looser) bounds for general pure states.
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"abstract": "We derive lower limits on the inefficiency and classical communication costs\nof dilution between two-term bipartite pure states that are partially\nentangled. We first calculate explicit relations between the allowable error\nand classical communication costs of entanglement dilution using the protocol\nof Lo-Popescu and then consider a two-stage dilution from singlets with this\nprotocol followed by some unknown protocol for conversion between partially\nentangled states. Applying the lower bounds on classical communication and\ninefficiency of Harrow-Lo and Hayden-Winter to this two-stage protocol, we\nderive bounds for the unknown protocol. In addition we derive analogous (but\nlooser) bounds for general pure states.",
"arxiv_id": "quant-ph/0411200",
"authors": [
"Ben Fortescue",
"Hoi-Kwong Lo"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.032336",
"journal_ref": "Phys. Rev. A *72*, 032336 (2005)",
"title": "Inefficiency and classical communication bounds for conversion between partially entangled pure bipartite states",
"url": "https://arxiv.org/abs/quant-ph/0411200"
},
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