论文标题
多部分纠缠状态的强量子非局部性
Strong quantum nonlocality for multipartite entangled states
论文作者
论文摘要
最近，halder \ emph {et al。} [S. halder \ emph {et al。}，物理。莱特牧师。 \ textbf {122}，040403（2019）]基于局部不可约性，呈现两组正交产品状态的强非局部性。但是，对于一组本地无法区分的正交纠缠状态，其余的问题是国家是否可以揭示强量量子非局部性。在这里，我们基于局部不可区分的强度量子非局部性的一般定义。然后，在$ 2 \ otimes 2 \ otimes 2 $量子系统中，我们表明一组正交纠缠状态在本地可降低，但在所有两部分中都无法区分，这意味着各州具有强大的非局部性。此外，我们将结果推广到N Qubit量子系统中，其中$ n \ geqslant 3 $。最后，我们还以$ d \ otimes d \ otimes \ cdots \ otimes d，d \ geqslant 3 $构建了纠缠状态的强烈非销售。我们的结果扩展了纠缠状态强的非局部性现象。
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.
