论文标题
强烈的量子非局部性与纠缠
Strong quantum nonlocality with entanglement
论文作者
论文摘要
最近引入了强量量子非局部性，是通过在所有两部分中局部不可约性的概念中更强烈的非局部性表现。强烈非局部正交状态集的已知存在结果仅限于产品状态。在本文中，基于Rubik的立方体，我们对所有$ d \ geq 3 $ in $ d \ otimes d \ otimes d $的纠缠状态进行了首次构造。因此，我们回答了Halder \ emph {et al。} [phys。莱特牧师。 \ textbf {122}，040403（2019）]，也就是说，确实存在强烈非局限性的正交纠缠基地。此外，我们提出了两个纠缠辅助方案，以局部歧视我们的结果。每个协议的纠缠资源都比基于传送的协议的纠缠资源少。我们的结果表现出强量量子非定位与纠缠的现象。
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.
