The Morita theory of quantum graph isomorphisms

DOI10.1007/s00220-018-3225-6zbMath1405.05119arXiv1801.09705OpenAlexW2787281141MaRDI QIDQ1720201

David Reutter, Dominic Verdon, Benjamin Musto

Publication date: 12 February 2019

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

Full work available at URL: https://arxiv.org/abs/1801.09705

zbMATH Keywords

quantum automorphism groups of graphsquantum isomorphic graph

Mathematics Subject Classification ID

Games involving graphs (91A43) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Coloring of graphs and hypergraphs (05C15) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Games on graphs (graph-theoretic aspects) (05C57)

Related Items (16)

A covariant Stinespring theorem ⋮ Classification of quantum graphs on M2 and their quantum automorphism groups ⋮ Quantum Cuntz-Krieger algebras ⋮ On the quantum symmetry of distance-transitive graphs ⋮ Bigalois extensions and the graph isomorphism game ⋮ A compositional approach to quantum functions ⋮ \(\mathrm{MIP}^* = \mathrm{RE}\): a negative resolution to Connes' embedding problem and Tsirelson's problem ⋮ Discrete quantum structures. II: Examples ⋮ Quantum edge correspondences and quantum Cuntz–Krieger algebras ⋮ Covariant quantum combinatorics with applications to zero-error communication ⋮ Discrete quantum structures. I: Quantum predicate logic ⋮ Quantum semigroups from synchronous games ⋮ Quantum sets ⋮ Unitary transformations of fibre functors ⋮ Some examples of quantum graphs ⋮ Ortho-sets and Gelfand spectra

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