Local equivalence of rank-2 quantum mixed states

2007/08/21 by Sergio Albeverio, Shao-Ming Fei, Debashish Goswami
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1088/1751-8113/40/36/011

published as J. Phys. A 40 (2007) 11113-11117 · 6 pages

openalex publication_date 2007/08/21 · arxiv created 2007/11/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We investigate the equivalence of quantum mixed states under local unitary transformations. For a class of rank-2 mixed states, a sufficient and necessary condition of local equivalence is obtained by giving a complete set of invariants under local unitary transformations, such that two states in this class are locally equivalent if and only if all these invariants have equal values for them.

Citations

• Nonlocal Properties of Two-Qubit Gates and Mixed States, and the Optimization of Quantum Computations
• Three qubits can be entangled in two inequivalent ways
• Applications of the duality method to generalizations of the Jordan canonical form
• Concurrence of arbitrary dimensional bipartite quantum states