A Note on Equivalence of Bipartite States under Local Unitary Transformations

Abstract

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.

6 pages

References in corpus (1)

• Concurrence of arbitrary dimensional bipartite quantum states

Cited by in corpus (2)

• Local Equivalence of Rank-Two Quantum Mixed States
• Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations