We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
18/2017
The local indistinguishability of multipartite product states
Yan-Ling Wang, Mao-Sheng Li, Zhu-Jun Zheng and Shao-Ming Fei
Abstract
We 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-dimensional cubes to present some product states which give us an intuitive view on how to construct locally indistinguishable product states in tripartite quantum systems. At last, we give an explicit construction of locally indistinguishable orthogonal product states for general multipartite systems.
