Quantum graphs: different perspectives, homomorphisms and quantum automorphisms

DOI10.1090/cams/30MaRDI QIDQ6547224

Matthew Daws

Publication date: 30 May 2024

Published in: Communications of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

quantum graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Operator spaces and completely bounded maps (46L07) Applications of selfadjoint operator algebras to physics (46L60) Operator spaces (= matricially normed spaces) (47L25) Algebraic systems of matrices (15A30) Quantum groups (quantized function algebras) and their representations (20G42) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantum groups (operator algebraic aspects) (46L67) Quantum channels, fidelity (81P47)

Cites Work

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• Quantum graph homomorphisms via operator systems
• On actions of compact quantum groups
• CCAP for universal discrete quantum groups
• Compact matrix pseudogroups
• Conditional expectations in von Neumann algebras and a theorem of Takesaki
• Quantum symmetry groups of finite spaces
• Symmetries of a generic coaction
• Quantum groups and Fuss-Catalan algebras
• Theory of operator algebras. II
• Fusion rules for representations of compact quantum groups
• Sandwich theorems and capacity bounds for non-commutative graphs
• Quantum graphs as quantum relations
• Synchronicity for quantum non-local games
• Some examples of quantum graphs
• Bigalois extensions and the graph isomorphism game
• Connectivity for quantum graphs
• Chromatic numbers, Sabidussi's theorem and Hedetniemi's conjecture for non-commutative graphs
• From multiplicative unitaries to quantum groups. II
• An invitation to quantum groups and duality. From Hopf algebras to multiplicative unitaries and beyond
• Quantum automorphism groups of homogeneous graphs
• Examples of non-compact quantum group actions
• Quantum Zero-Error Source-Channel Coding and Non-Commutative Graph Theory
• Actions of compact quantum groups
• Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
• A compositional approach to quantum functions
• LOCALLY COMPACT QUANTUM GROUPS IN THE UNIVERSAL SETTING
• Quantum Cuntz-Krieger algebras
• Random quantum graphs
• A Few Observations on Weaver's Quantum Relations
• Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel
• Classification of quantum graphs on M2 and their quantum automorphism groups
• A von Neumann Algebra Approach to Quantum Metrics/Quantum Relations
• A von Neumann Algebra Approach to Quantum Metrics/Quantum Relations
• The unitary implementation of a locally compact quantum group action
• Theory of operator algebras I.
• Quantum symmetries of quantum metric spaces and non-local games
• Spectral bounds for the quantum chromatic number of quantum graphs
• Quantum edge correspondences and quantum Cuntz–Krieger algebras

Related Items (3)

Algebraic connectedness and bipartiteness of quantum graphs ⋮ On quantum Cayley graphs ⋮ Equivariant Tannaka-Krein reconstruction and quantum automorphism groups of discrete structures

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