A Note on Equivalence of Bipartite States under Local Unitary Transformations

Bao-Zhi Sun, Shao-Ming Fei, Xianqing Li-Jost, Zhi-Xi Wang

Published 2006-03-11Version 1

The equivalence of arbitrary dimensional bipartite states under local unitary transformations (LUT) is studied. A set of invariants and ancillary invariants under LUT is presented. We show that two states are equivalent under LUT if and only if they have the same values for all of these invariants.