Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States
arXiv:1207.2688 · doi:10.1103/PhysRevA.86.010303
Abstract
The nonlocal properties of arbitrary dimensional bipartite quantum systems are investigated. A complete set of invariants under local unitary transformations is presented. These invariants give rise to both sufficient and necessary conditions for the equivalence of quantum states under local unitary transformations: two density matrices are locally equivalent if and only if all these invariants have equal values.
5 pages