Distinguishing multipartite orthogonal product states by LOCC with entanglement as a resource

Abstract

Recently using entanglement as resource to distinguish orthogonal product states by local operations and classical communication (LOCC) has been studied intensively. Zhang. et al. presented protocols to use entanglement to distinguish certain classes of orthogonal product states in $\mathbb{C}^m\otimes \mathbb{C}^n$\cite{Zhang016}. In this paper, we study local distinguishability of multipartite orthogonal product states and provide a practical solution. Our method relies upon a special class of locally indistinguishable multipartite product states introduced by Wang et. al. to build a protocol to distinguishes perfectly multipartitie quantum states by LOCC using an entangled state as a resource for implementing quantum measurements.