Local unitary equivalence of quantum states and simultaneous orthogonal equivalence

DOI10.1063/1.4954230zbMath1341.81012arXiv1605.00238OpenAlexW3105409475WikidataQ57431691 ScholiaQ57431691MaRDI QIDQ3178313

Naihuan Jing, Min Yang, Hui Zhao

Publication date: 11 July 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00238

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Quantum coherence, entanglement, quantum correlations (81P40) Matrix pencils (15A22) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (4)

Local unitary equivalence of generic multi-qubits based on the CP decomposition ⋮ Local unitary classification of generalized Bell state sets in C5⊗C5 ⋮ Criteria of genuine multipartite entanglement based on correlation tensors ⋮ Detection of genuine tripartite entanglement based on Bloch representation of density matrices

Cites Work

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• Simultaneous unitary equivalences
• A criterion for unitary congruence between matrices
• Unitary and orthogonal equivalence of sets of matrices
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• Quantum entanglement
• Local unitary equivalence and entanglement of multipartite pure states
• Local Unitary Equivalence of Multipartite Pure States
• SLOCC invariants for multipartite mixed states
• How many invariant polynomials are needed to decide local unitary equivalence of qubit states?

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