Local unitary equivalence of multipartite pure states

Details Local unitary equivalence of multipartite pure states Local unitary equivalence of multipartite pure states

2009-09-28

arxiv.org/abs/0909.5152v1

Phys. Rev. Lett. 104, 020504 (2010)

Physics

Quantum Physics

5 pages

Scientific paper

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.

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