dorsal/arxiv
View SchemaMultiple-copy entanglement transformation and entanglement catalysis
| Authors | Runyao Duan, Yuan Feng, Xin Li, Mingsheng Ying |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404148 |
| URL | https://arxiv.org/abs/quant-ph/0404148 |
| DOI | 10.1103/PhysRevA.71.042319 |
| Journal | Phys. Rev. A 71, 042319 (2005) |
Abstract
We prove that any multiple-copy entanglement transformation [S. Bandyopadhyay, V. Roychowdhury, and U. Sen, Phys. Rev. A \textbf{65}, 052315 (2002)] can be implemented by a suitable entanglement-assisted local transformation [D. Jonathan and M. B. Plenio, Phys. Rev. Lett. \textbf{83}, 3566 (1999)]. Furthermore, we show that the combination of multiple-copy entanglement transformation and the entanglement-assisted one is still equivalent to the pure entanglement-assisted one. The mathematical structure of multiple-copy entanglement transformations then is carefully investigated. Many interesting properties of multiple-copy entanglement transformations are presented, which exactly coincide with those satisfied by the entanglement-assisted ones. Most interestingly, we show that an arbitrarily large number of copies of state should be considered in multiple-copy entanglement transformations.
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"abstract": "We prove that any multiple-copy entanglement transformation [S.\nBandyopadhyay, V. Roychowdhury, and U. Sen, Phys. Rev. A \\textbf{65}, 052315\n(2002)] can be implemented by a suitable entanglement-assisted local\ntransformation [D. Jonathan and M. B. Plenio, Phys. Rev. Lett. \\textbf{83},\n3566 (1999)]. Furthermore, we show that the combination of multiple-copy\nentanglement transformation and the entanglement-assisted one is still\nequivalent to the pure entanglement-assisted one. The mathematical structure of\nmultiple-copy entanglement transformations then is carefully investigated. Many\ninteresting properties of multiple-copy entanglement transformations are\npresented, which exactly coincide with those satisfied by the\nentanglement-assisted ones. Most interestingly, we show that an arbitrarily\nlarge number of copies of state should be considered in multiple-copy\nentanglement transformations.",
"arxiv_id": "quant-ph/0404148",
"authors": [
"Runyao Duan",
"Yuan Feng",
"Xin Li",
"Mingsheng Ying"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.042319",
"journal_ref": "Phys. Rev. A 71, 042319 (2005)",
"title": "Multiple-copy entanglement transformation and entanglement catalysis",
"url": "https://arxiv.org/abs/quant-ph/0404148"
},
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