标题： 多体乘积态的局部不可区分性 显示英文标题

标题： The local indistinguishability of multipartite product states

摘要： 在本文中，我们主要研究多部分乘积态的局部不可区分性。 首先，我们遵循Z.-C. Zhang\emph{等}[Phys. Rev. A 93, 012314(2016)] 的方法，给出另一组更简洁的$2n-1$个正交乘积态在$\mathbb{C}^m\otimes\mathbb{C}^n(4\leq m\leq n)$中，这些态不能通过局部操作和经典通信（LOCC）进行区分。 然后我们使用三维立方体来展示一些乘积态，这为我们提供了如何在三部分量子系统中构造局部不可区分乘积态的直观视角。 最后，我们给出了通用多部分系统中局部不可区分正交乘积态的显式构造。 显示英文摘要

摘要： In this paper, we mainly study the local indistinguishability of multipartite product states. Firstly, we follow the method of Z.-C. Zhang \emph{et al}[Phys. Rev. A 93, 012314(2016)] to give another more concise set of $2n-1$ orthogonal product states in $\mathbb{C}^m\otimes\mathbb{C}^n(4\leq m\leq n)$ which can not be distinguished by local operations and classical communication(LOCC). Then we use the 3 dimension cubes to present some product states which give us an intuitive view how to construct locally indistinguishable product states in tripartite quantum system. At last, we give an explicit construction of locally indistinguishable orthogonal product states for general multipartite system.