A Note on Local Unitary Equivalence of Isotropic-like States
Tinggui Zhang, Bobo Hua, Ming Li, Ming-Jing Zhao, and Hong Yang
TL;DR
This paper investigates the criteria for local unitary equivalence among certain quantum states, providing necessary and sufficient conditions, with specific focus on isotropic and Werner states in bipartite and multipartite systems.
Contribution
It introduces a comprehensive criterion for local unitary equivalence of a class of quantum states, including isotropic and Werner states, in bipartite and multipartite systems.
Findings
Necessary and sufficient conditions for local unitary equivalence.
Classification of isotropic and Werner states under local unitary transformations.
Analysis of local unitary similar equivalence among these states.
Abstract
We consider the local unitary equivalence of a class of quantum states in bipartite case and multipartite case. The necessary and sufficient condition is presented. As special cases, the local unitary equivalent classes of isotropic state and werner state are provided. Then we study the local unitary similar equivalence of this class of quantum states and analyze the necessary and sufficient condition.
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