论文标题
非局部性的少量正交产品状态
Small set of orthogonal product states with nonlocality
论文作者
论文摘要
如果要保留状态的正交性，只能从每个部分进行琐碎的局部测量。局部稳定的状态始终是本地无法区分的，产生了一种非局部性形式，与贝尔型非局部性不同。在这项工作中，我们研究了尺寸较小的本地稳定产品状态。首先，我们对本地稳定的产品状态的大小进行下限。众所周知，难以扩展的产品基础（UPB）在本地没有区别。但是我们发现其中一些不是本地稳定的。另一方面，存在一些最小尺寸UPB的子集，这些尺寸也是局部稳定的，这意味着这种UPB的非局部性比其他形式强。
A set of orthogonal states in multipartite systems is called to be locally stable if to preserving the orthogonality of the states, only trivial local measurement can be performed from each partite. Locally stable set of states are always locally indistinguishable yielding a form of nonlocality which is different from the Bell type nonlocality. In this work, we study the locally stable set of product states with small size. First, we give a lower bound on the size of locally stable set of product states. It is well known that unextendible product basis (UPB) is locally indistinguishable. But we find that some of them are not locally stable. On the other hand, there exists some small subset of minimum size UPB that are also locally stable which implies the nonlocality of such UPBs are stronger than other form.
