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When Catalysis is Useful for Probabilistic Entanglement Transformation

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arxiv quant-ph/0403170 v2 pith:ENZWMIBR submitted 2004-03-24 quant-ph

When Catalysis is Useful for Probabilistic Entanglement Transformation

classification quant-ph
keywords transformationcatalystsprobabilisticusefulentanglementwhencatalysiscertain
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We determine all $2\times 2$ quantum states that can serve as useful catalysts for a given probabilistic entanglement transformation, in the sense that they can increase the maximal transformation probability. When higher-dimensional catalysts are considered, a sufficient and necessary condition is derived under which a certain probabilistic transformation has useful catalysts.

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