Local Unitary Invariants for Multipartite Quantum Systems

Abstract

We present an approach of constructing invariants under local unitary transformations for multipartite quantum systems. The invariants constructed in this way can be complement to that in [Science 340 (2013) 1205-1208]. Detailed examples are given to compute such invariant in detail. It is shown that these invariants can be used to detect the local unitary equivalence of degenerated quantum states.

7 pages, no figure

References in corpus (4)

• Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States
• Local Unitary Equivalence of Multi-qubit Mixed quantum States
• Bell inequalities for multipartite qubit quantum systems and their maximal violation
• A Note on Equivalence of Bipartite States under Local Unitary Transformations