Local unitary equivalence of multipartite pure states

B. Kraus

doi:10.1103/PhysRevLett.104.020504

Local unitary equivalence of multipartite pure states

Quantum Physics 2015-05-14 v1

Authors: B. Kraus

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Abstract

Necessary and sufficient conditions for the equivalence of arbitrary n-qubit pure quantum states under Local Unitary (LU) operations are derived. First, an easily computable standard form for multipartite states is introduced. Two generic states are shown to be LU-equivalent iff their standard forms coincide. The LU-equivalence problem for non--generic states is solved by presenting a systematic method to determine the LU operators (if they exist) which interconvert the two states.

Keywords

local unitary equivalence multipartite pure states n-qubit standard form LU operators

Cite

@article{arxiv.0909.5152,
  title  = {Local unitary equivalence of multipartite pure states},
  author = {B. Kraus},
  journal= {arXiv preprint arXiv:0909.5152},
  year   = {2015}
}

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5 pages

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