Local Unitary Invariants for Multipartite Quantum Systems
Jing Wang, Ming Li, Shao-Ming Fei, Xianqing Li-Jost
TL;DR
This paper introduces a new method for constructing local unitary invariants in multipartite quantum systems, aiding in the detection of quantum state equivalence under local transformations.
Contribution
It proposes a novel approach to generate invariants that complement existing methods, with detailed examples demonstrating their application.
Findings
Invariants can detect local unitary equivalence of degenerated states.
The method provides a systematic way to construct invariants for multipartite systems.
Examples illustrate the effectiveness of the invariants in practical scenarios.
Abstract
We present an approach of constructing invariants under local unitary transformations for multipartite quantum systems. The invariants constructed in this way can be complement to that in [Science 340 (2013) 1205-1208]. Detailed examples are given to compute such invariant in detail. It is shown that these invariants can be used to detect the local unitary equivalence of degenerated quantum states.
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