H. F. Chau, Chi-Hang Fred Fung, Chi-Kwong Li, Edward Poon, Nung-Sing Sze
Alice and Bob are given an unknown initial state chosen from a set of pure quantum states. Their task is to transform the initial state to a corresponding final pure state using local operations only. We prove necessary and sufficient conditions on the existence of such a transformation. We also provide efficient algorithms that can quickly rule out the possibility of transforming a set of initial states to a set of final states.
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http://arxiv.org/abs/1208.1068
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