A Note on State Decomposition Independent Local Invariants
Ting-Gui Zhang, Naihuan Jing, Xianqing Li-Jost, Ming-Jing Zhao, and Shao-Ming Fei
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Submission date: 14. Aug. 2013
published in: The European physical journal / D, 67 (2013) 8, art-no. 175
DOI number (of the published article): 10.1140/epjd/e2013-40068-7
PACS-Numbers: 03.67.-a, 02.20.Hj, 03.65.-w
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We derive a set of invariants under local unitary transformations for arbitrary dimensional quantum systems. These invariants are given by hyperdeterminants and independent from the detailed pure state decompositions of a given quantum state. They also give rise to necessary conditions for the equivalence of quantum states under local unitary transformations.