Strong quantum nonlocality with entanglement

• URL: http://arxiv.org/abs/2007.09961v1
• Date: Mon, 20 Jul 2020 09:31:04 GMT
• Title: Strong quantum nonlocality with entanglement
• Authors: Fei Shi, Mengyao Hu, Lin Chen, and Xiande Zhang
• Abstract summary: Strong quantum nonlocality was introduced recently as a stronger manifestation of nonlocality in multipartite systems. In this paper, based on the Rubik's cube, we give the first construction of such sets consisting of entangled states in $dotimes dotimes d$ for all $dgeq 3$. Our results exhibit the phenomenon of strong quantum nonlocality with entanglement.
• Score: 15.308818907018546
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Strong quantum nonlocality was introduced recently as a stronger manifestation of nonlocality in multipartite systems through the notion of local irreducibility in all bipartitions. Known existence results for sets of strongly nonlocal orthogonal states are limited to product states. In this paper, based on the Rubik's cube, we give the first construction of such sets consisting of entangled states in $d\otimes d\otimes d$ for all $d\geq 3$. Consequently, we answer an open problem given by Halder \emph{et al.} [Phys. Rev. Lett. \textbf{122}, 040403 (2019)], that is, orthogonal entangled bases that are strongly nonlocal do exist. Furthermore, we propose two entanglement-assisted protocols for local discrimination of our results. Each protocol consumes less entanglement resource than the teleportation-based protocol averagely. Our results exhibit the phenomenon of strong quantum nonlocality with entanglement.

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