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MiS Preprint

A Note on State Decomposition Independent Local Invariants

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

Aug 14, 2013
Aug 16, 2013
03.67.-a, 02.20.Hj, 03.65.-w

Related publications

2013 Repository Open Access
Ting-Gui Zhang, Nai-Huan Jing, Xianqing Li-Jost, Ming-Jing Zhao and Shao-Ming Fei

A note on state decomposition independent local invariants

In: The European physical journal / D, 67 (2013) 8, p. 175