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Local Unitary Equivalence of Multipartite Pure States

Source: Phys. Rev. Lett. 104, 020504 (2010); doi:10.1103/PhysRevLett.104.020504

Published 14 January 2010

PACS
  • 03.67.-a
    Quantum information
  • 03.65.Ud
    Entanglement and quantum nonlocality
  • YEAR: 2010
PUBLICATION DATA
Publisher:
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B. Kraus
Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria
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 LUequivalent iff their standard forms coincide. The LU-equivalence problem for nongeneric states is solved by presenting a systematic method to determine the LU operators (if they exist) which interconvert the two states. ©2010 The American Physical Society
History: Received 20 October 2009; published 14 January 2010
Permalink: http://link.aps.org/abstract/PRL/v104/e020504
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