2012/07/11 by Chunqin Zhou, Tinggui Zhang, Ting-Gui Zhang +4
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Computer science #Discrete mathematics #Equivalence (formal languages) #Law #Mathematics #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Quantum state #Set (abstract data type) #Unitary matrix #Unitary state #Unitary transformation #quant-ph
paper · pdf · doi:10.1103/physreva.86.010303
published as Phys. Rev. A 86, 010303(R) (2012) · 5 pages
arxiv created 2012/07/11 · openalex publication_date 2012/07/11 · arxiv updated 2012/07/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.