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arXiv · 1307.6037

A Note on State Decomposition Independent Local Invariants

Ting-Gui Zhang·Naihuan Jing·Xianqing Li-Jost·Ming-Jing Zhao·Shao-Ming Fei
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Abstract

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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Ting-Gui Zhang, Naihuan Jing, Xianqing Li-Jost, Ming-Jing Zhao, Shao-Ming Fei. 2013-07-23. A Note on State Decomposition Independent Local Invariants. https://doi.org/10.1140/epjd%2Fe2013-40068-7

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