Strong quantum nonlocality for multipartite entangled states

Recently, Halder \emph{et al.} [S. Halder \emph{et al.}, Phys. Rev. Lett. \textbf{122}, 040403 (2019)] present two sets of strong nonlocality of orthogonal product states based on the local irreducibility. However, for a set of locally indistinguishable orthogonal entangled states, the remaining que...

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Published in:arXiv.org 2020-07
Main Authors: Zhi-Chao, Zhang, Tian, Guojing, Tian-Qing Cao
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Entangled states
Quantum theory
Qubits (quantum computing)
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description Recently, Halder \emph{et al.} [S. Halder \emph{et al.}, Phys. Rev. Lett. \textbf{122}, 040403 (2019)] present two sets of strong nonlocality of orthogonal product states based on the local irreducibility. However, for a set of locally indistinguishable orthogonal entangled states, the remaining question is whether the states can reveal strong quantum nonlocality. Here we present a general definition of strong quantum nonlocality based on the local indistinguishability. Then, in \(2 \otimes 2 \otimes 2\) quantum system, we show that a set of orthogonal entangled states is locally reducible but locally indistinguishable in all bipartitions, which means the states have strong nonlocality. Furthermore, we generalize the result in N-qubit quantum system, where \(N\geqslant 3\). Finally, we also construct a class of strong nonlocality of entangled states in \(d\otimes d\otimes \cdots \otimes d, d\geqslant 3\). Our results extend the phenomenon of strong nonlocality for entangled states.
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Halder \emph{et al.}, Phys. Rev. Lett. \textbf{122}, 040403 (2019)] present two sets of strong nonlocality of orthogonal product states based on the local irreducibility. However, for a set of locally indistinguishable orthogonal entangled states, the remaining question is whether the states can reveal strong quantum nonlocality. Here we present a general definition of strong quantum nonlocality based on the local indistinguishability. Then, in \(2 \otimes 2 \otimes 2\) quantum system, we show that a set of orthogonal entangled states is locally reducible but locally indistinguishable in all bipartitions, which means the states have strong nonlocality. Furthermore, we generalize the result in N-qubit quantum system, where \(N\geqslant 3\). Finally, we also construct a class of strong nonlocality of entangled states in \(d\otimes d\otimes \cdots \otimes d, d\geqslant 3\). 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subjects Entangled states
Quantum theory
Qubits (quantum computing)
title Strong quantum nonlocality for multipartite entangled states
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