Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States
Chunqin Zhou, Tinggui Zhang, Shao-Ming Fei, Naihuan Jing, Xianqing, Li-Jost
TL;DR
This paper develops a comprehensive set of invariants to determine when two bipartite mixed quantum states are equivalent under local unitary transformations, advancing the understanding of quantum state classification.
Contribution
It introduces a complete set of invariants for arbitrary dimensional bipartite mixed states, providing necessary and sufficient conditions for local unitary equivalence.
Findings
Complete invariants for bipartite states under local unitaries
Necessary and sufficient conditions for state equivalence
Framework applicable to arbitrary dimensions
Abstract
The nonlocal properties of arbitrary dimensional bipartite quantum systems are investigated. A complete set of invariants under local unitary transformations is presented. These invariants give rise to both sufficient and necessary conditions for the equivalence of quantum states under local unitary transformations: two density matrices are locally equivalent if and only if all these invariants have equal values.
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