Distinguishability of complete and unextendible product bases

Abstract

The conditions for the distinguishability of complete and unextendible product bases were discussed. It was found that with probabilistic local operations and classical communciation (LOCC) every product basis can be distinguished. A set of states is distinguishable by probabilistic LOCC if it is distinguishable by separable superconductors. A sufficient condition for the LOCC distinguishability of a complete product basis was described.