Equivalence of Quantum States under Local Unitary Transformations

Shao-Ming Fei, Naihuan Jing

Published 2005-06-16Version 1

In terms of the analysis of fixed point subgroup and tensor decomposability of certain matrices, we study the equivalence of of quantum bipartite mixed states under local unitary transformations. For non-degenerate case an operational criterion for the equivalence of two such mixed bipartite states under local unitary transformations is presented.