Small set of orthogonal product states with nonlocality
- URL: http://arxiv.org/abs/2207.04603v1
- Date: Mon, 11 Jul 2022 03:44:15 GMT
- Title: Small set of orthogonal product states with nonlocality
- Authors: Wang Yan-Ling, Chen Wei, Li Mao-Sheng
- Abstract summary: We study the locally stable set of product states with small size.
It is well known that unextendible product basis (UPB) is locally indistinguishable.
On the other hand, there exists some small subset of minimum size UPB that are also locally stable.
- Score: 3.325625311163865
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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.
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