Wednesday, July 24, 2013

1307.6037 (Ting-Gui Zhang et al.)

A Note on State Decomposition Independent Local Invariants    [PDF]

Ting-Gui Zhang, Naihuan Jing, Xianqing Li-Jost, Ming-Jing Zhao, Shao-Ming Fei
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.
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