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Local unitary equivalence of arbitrary dimensional bipartite quantum states

Chunqin Zhou, Ting-Gui Zhang, Shao-Ming Fei, Naihuan Jing, and Xianqing Li-Jost
Phys. Rev. A 86, 010303(R) – Published 11 July 2012
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Abstract

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.

  • Received 5 December 2011

DOI:https://doi.org/10.1103/PhysRevA.86.010303

©2012 American Physical Society

Authors & Affiliations

Chunqin Zhou1, Ting-Gui Zhang2, Shao-Ming Fei2,3, Naihuan Jing4,5, and Xianqing Li-Jost2

  • 1Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
  • 2Max-Planck-Institute for Mathematics in the Sciences, 04103 Leipzig, Germany
  • 3School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
  • 4School of Sciences, South China University of Technology, Guangzhou 510640, China
  • 5Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695, USA

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Vol. 86, Iss. 1 — July 2012

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