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.

View original: http://arxiv.org/abs/1307.6037