Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States

Chunqin Zhou; Tinggui Zhang; Shao-Ming Fei; Naihuan Jing; Xianqing Li-Jost

doi:10.1103/PhysRevA.86.010303

Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States

Quantum Physics 2012-07-12 v1

Authors: Chunqin Zhou , Tinggui Zhang , Shao-Ming Fei , Naihuan Jing , Xianqing Li-Jost

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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.

Keywords

local unitary equivalence bipartite mixed states quantum invariants density matrices nonlocal properties arbitrary dimension

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@article{arxiv.1207.2688,
  title  = {Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States},
  author = {Chunqin Zhou and Tinggui Zhang and Shao-Ming Fei and Naihuan Jing and Xianqing Li-Jost},
  journal= {arXiv preprint arXiv:1207.2688},
  year   = {2012}
}

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5 pages

Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States

Abstract

Keywords

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