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arxiv: quant-ph/0404154 · v2 · pith:2IEJ4XT2new · submitted 2004-04-27 · 🪐 quant-ph

Catalyst-assisted Probabilistic Entanglement Transformation

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keywords catalyst-assistedentanglementprobabilistictransformationcatalystspartialalgorithmcarefully
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We are concerned with catalyst-assisted probabilistic entanglement transformations. A necessary and sufficient condition is presented under which there exist partial catalysts that can increase the maximal transforming probability of a given entanglement transformation. We also design an algorithm which leads to an efficient method for finding the most economical partial catalysts with minimal dimension. The mathematical structure of catalyst-assisted probabilistic transformation is carefully investigated.

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