dorsal/arxiv
View SchemaRelation Between Catalyst-assisted Entanglement Transformation and Multiple-copy Transformation
| Authors | Yuan Feng, Runyao Duan, Mingsheng Ying |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312110 |
| URL | https://arxiv.org/abs/quant-ph/0312110 |
| DOI | 10.1103/PhysRevA.74.042312 |
| Journal | Phys. Rev. A 74, 042312 (2006) |
Abstract
We show that in some cases, catalyst-assisted entanglement transformation cannot be implemented by multiple-copy transformation for pure states. This fact, together with the result we obtained in [R. Y. Duan, Y. Feng, X. Li, and M. S. Ying, Phys. Rev. A 71, 042319 (2005)] that the latter can be completely implemented by the former, indicates that catalyst-assisted transformation is strictly more powerful than multiple-copy transformation. For purely probabilistic setting we find, however, these two kinds of transformations are geometrically equivalent in the sense that the sets of pure states which can be converted into a given pure state with maximal probabilities not less than a given value have the same closure, no matter catalyst-assisted transformation or multiple-copy transformation is used.
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"abstract": "We show that in some cases, catalyst-assisted entanglement transformation\ncannot be implemented by multiple-copy transformation for pure states. This\nfact, together with the result we obtained in [R. Y. Duan, Y. Feng, X. Li, and\nM. S. Ying, Phys. Rev. A 71, 042319 (2005)] that the latter can be completely\nimplemented by the former, indicates that catalyst-assisted transformation is\nstrictly more powerful than multiple-copy transformation. For purely\nprobabilistic setting we find, however, these two kinds of transformations are\ngeometrically equivalent in the sense that the sets of pure states which can be\nconverted into a given pure state with maximal probabilities not less than a\ngiven value have the same closure, no matter catalyst-assisted transformation\nor multiple-copy transformation is used.",
"arxiv_id": "quant-ph/0312110",
"authors": [
"Yuan Feng",
"Runyao Duan",
"Mingsheng Ying"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.042312",
"journal_ref": "Phys. Rev. A 74, 042312 (2006)",
"title": "Relation Between Catalyst-assisted Entanglement Transformation and Multiple-copy Transformation",
"url": "https://arxiv.org/abs/quant-ph/0312110"
},
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