Local distinguishability of quantum states in multipartite System

Abstract

In this paper, we mainly study the local distinguishable multipartite quantum states by local operations and classical communication (LOCC) in $m_1\otimes m_2\otimes \dots \otimes m_n$ , where the quantum system $m_1$ belongs to Alice, $m_2$ belongs to Bob, \ldots and $m_n$ belongs to Susan. We first present the pure tripartite distinguishable orthogonal quantum states by LOCC in $m_1\otimes m_2\otimes m_3$. With the conclusion in $m_1\otimes m_2\otimes m_3$, we prove distinguishability or indistinguishability of some quantum states. At last, we give the $n$-party distinguishable quantum states in $m_1\otimes m_2\otimes \cdots \otimes m_n$. Our study further reveals quantum nonlocality in multipartite high-dimensional.

This paper has been withdrawn by the author since these examples are not generalized

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Cited by in corpus (4)

• Several nonlocal sets of multipartite pure orthogonal product states
• Genuinely Nonlocal Product Bases: Classification and Entanglement Assisted Discrimination
• Activating Strongest Possible Nonlocality from Local Sets: An Elimination Paradigm
• Locality of Orthogonal Product States via Multiplied Copies