Local Equivalence of Rank-Two Quantum Mixed States

Sergio Albeverio; Shao-Ming Fei; Debashish Goswami

doi:10.1088/1751-8113/40/36/011

Local Equivalence of Rank-Two Quantum Mixed States

Quantum Physics 2007-11-09 v1

Authors: Sergio Albeverio , Shao-Ming Fei , Debashish Goswami

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Abstract

We investigate the equivalence of quantum mixed states under local unitary transformations. For a class of rank-two 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.

Keywords

quantum mixed states local unitary transformations local equivalence rank-two states invariants sufficient and necessary condition

Cite

@article{arxiv.0711.1210,
  title  = {Local Equivalence of Rank-Two Quantum Mixed States},
  author = {Sergio Albeverio and Shao-Ming Fei and Debashish Goswami},
  journal= {arXiv preprint arXiv:0711.1210},
  year   = {2007}
}

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6 pages

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