Using entanglement more efficiently in distinguishing orthogonal product states by LOCC
Quantum Information Processing(2019)
摘要
In this paper, we mainly study the problem of locally distinguishing orthogonal product states using entanglement as a resource. We present methods to improve the previous results, presented by other authors, based on an ancillary two-qubit maximally entangled state instead of a high-dimensional entanglement ancillary resource. Concretely, we present a method to locally distinguish a set of 2n-1 orthogonal product states in a m ⊗ n bipartite system with an ancillary two-qubit maximally entangled state, and generalize the discrimination method to orthogonal product states in even-partite system. Then, we also present a method to locally distinguish a set of 2(n_1+n_3)-3 orthogonal product states in a n_1 ⊗ n_2 ⊗ n_3 tripartite system with an ancillary two-qubit maximally entangled state, and generalize the discrimination method to orthogonal product states in odd-partite system. We hope that these results can lead to a better understanding of the relationship between nonlocality and entanglement.
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