AIP conference proceedings
Local Equivalence for a Class of Bipartite Quantum Mixed States
X. H. Wang, Sergio A Albeverio, L. Cattaneo, Shao-Ming Fei
Abstract
We study the equivalence of bipartite mixed states under local unitary transformations. A complete set of invariants under local unitary transformations is presented for a class of mixed states in CM ⊗ CN composite systems. It is shown that two density matrices in this class are locally equivalent if and only if all these invariants have equal values for these density matrices.