An Equivalence of Entanglement-Assisted Transformation and Multiple-Copy Entanglement Transformation

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dc.creatorDuan, Runyao
dc.creatorFeng, Yuan
dc.creatorYing, Mingsheng
dc.date2004-04-07
dc.date2005-01-06
dc.date.accessioned2026-07-07T06:09:31Z
dc.date.available2026-07-07T06:09:31Z
dc.descriptionWe examine the powers of entanglement-assisted transformation and multiple-copy entanglement transformation. First, we find a sufficient condition of when a given catalyst is useful in producing another specific target state. As an application of this condition, for any non-maximally entangled bipartite pure state and any integer $n$ not less than 4, we are able to explicitly construct a set of $n\times n$ quantum states which can be produced by using the given state as a catalyst. Second, we prove that for any positive integer $k$, entanglement-assisted transformation with $k\times k$-dimensional catalysts is useful in producing a target state if and only if multiple-copy entanglement transformation with $k$ copies of state is useful in producing the same target. Moreover, a necessary and sufficient condition for both of them is obtained in terms of the Schmidt coefficients of the target. This equivalence of entanglement-assisted transformation and multiple-copy entanglement transformation implies many interesting properties of entanglement transformation. Furthermore, these results are generalized to the case of probabilistic entanglement transformations.
dc.descriptionNow 19 pages. Need IEEEtran.cls. Results in the case of probabilistic transformations added. Presentation part improved
dc.identifierhttps://arxiv.org/abs/quant-ph/0404046
dc.identifierhttp://arxiv.org/abs/quant-ph/0404046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91984
dc.subjectQuantum Physics
dc.titleAn Equivalence of Entanglement-Assisted Transformation and Multiple-Copy Entanglement Transformation
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