Entanglement transformation between sets of bipartite pure quantum states using local operations

@article{Chau2012EntanglementTB,
  title={Entanglement transformation between sets of bipartite pure quantum states using local operations},
  author={Hoi Fung Chau and Chi-Hang Fred Fung and Chi-Kwong Li and Edward Poon and Nung-Sing Sze},
  journal={Journal of Mathematical Physics},
  year={2012},
  volume={53},
  pages={122201-122201}
}
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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