Local Unitary Equivalence of Arbitrary Dimensional Bipartite Quantum States
Chunqin Zhou, Ting-Gui Zhang, Shao-Ming Fei, Naihuan Jing, and Xianqing Li-Jost
Contact the author: Please use for correspondence this email.
Submission date: 20. Jul. 2012
published in: Physical review / A, 86 (2012) 1, art-no. 010303(R)
DOI number (of the published article): 10.1103/PhysRevA.86.010303
PACS-Numbers: 03.67.-a, 02.20.Hj, 03.65.-w
Download full preprint: PDF (116 kB)
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.