Invariants for a Class of Nongeneric Three-qubit States

Abstract

We investigate the equivalence of quantum states under local unitary transformations. A complete set of invariants under local unitary transformations is presented for a class of non-generic three-qubit mixed states. It is shown that two such states in this class are locally equivalent if and only if all these invariants have equal values for them.

7 pages

References in corpus (5)

• Concurrence of arbitrary dimensional bipartite quantum states
• Generalized reduction criterion for separability of quantum states
• Nonlocal Properties and Local Invariants for Bipartite Systems
• Local Invariants for a Class of Mixed States
• Multipartite states under local unitary transformations

Cited by in corpus (3)

• Local Equivalence of Rank-Two Quantum Mixed States
• Local unitary equivalent consistence for n-party states and their (n-1)-party reduced density matrices
• A Complete Set of Local Invariants for a Family of Multipartite Mixed States