Relation Between Catalyst-assisted Entanglement Transformation and Multiple-copy Transformation

Details Relation Between Catalyst-assisted Entanglement Transformation and Multiple-copy Transformation Relation Between Catalyst-assisted Entanglement Transformation and Multiple-copy Transformation

2003-12-12

arxiv.org/abs/quant-ph/0312110v2

Phys. Rev. A 74, 042312 (2006)

Physics

Quantum Physics

7 pages, journal version

Scientific paper

10.1103/PhysRevA.74.042312

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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