Quantum states associated to mixed graphs and their algebraic characterization

DOI10.3934/amc.2021015zbMath1524.81020MaRDI QIDQ6112262

Matthew G. Parker, Pantelimon Stănică, Constanza Riera

Publication date: 7 July 2023

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

zbMATH Keywords

mixed graphsstabilizerscommutative subgroupsquantum graph statesmixed graph states

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

• Common eigenvectors of two matrices
• Permutation symmetric hypergraph states and multipartite quantum entanglement
• Correcting Quantum Errors with Entanglement
• Transforming graph states using single-qubit operations
• Graph states for quantum secret sharing
• Local unitary symmetries of hypergraph states
• Quantum theory: concepts and methods

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