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- W2544528982 abstract "We explore the relation between the rank of a bipartite density matrix and the existence of bound entanglement. We show a relation between the rank, marginal ranks, and distillability of a mixed state and use this to prove that any rank n bound entangled state must have support on no more than an n times n Hilbert space. A direct consequence of this result is that there are no bipartite bound entangled states of rank two. We also show that a separability condition in terms of a quantum entropy inequality is associated with the above results. We explore the idea of how many pure states are needed in a mixture to cancel the distillable entanglement of a Schmidt rank n pure state and provide a lower bound of n-1. We also prove that a mixture of a non-zero amount of any pure entangled state with a pure product state is distillable." @default.
- W2544528982 created "2016-11-04" @default.
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- W2544528982 date "1999-10-29" @default.
- W2544528982 modified "2023-09-27" @default.
- W2544528982 title "Rank Two Bound Entangled States Do Not Exist" @default.
- W2544528982 hasPublicationYear "1999" @default.
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