An algorithm for one-way LOCC distinguishability of orthogonal bipartite states

Local distinguishability of quantum states is a basic problem in quantum information theory. For an arbitrary group of entangled states in d circle times d bipartite system, Singal presented a subspace related to these states, and then he determined that the group of states can be distinguished by one-way local operations and classical communication(1-LOCC) if this subspace contains a maximally Abelian subspace. In this paper according to Singal's results, we present an algorithm to distinguish orthogonal bipartite states in d circle times d system based on 1-LOCC; we gives a sufficient condition to judge whether generalized orthogonal quantum states in 4 circle times 4 can be distinguished. Finally, we show an corresponding example to verify the conclusion.