2023/02/17 by Debashish Goswami, Goswami, Debashish, Sk Asfaq Hossain +1 · 1 citation
Computer Science · #FOS: Mathematics #FOS: Physical sciences #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2302.08726
openalex publication_date 2023/02/17 · openalex created_date 2023/02/22 · openalex updated_date 2026/07/28
We introduce various notions of quantum symmetry in a directed or undirected multigraph with no isolated vertex and explore relations among them. If the multigraph is single edged (that is, a simple graph where loops are allowed), all our notions of quantum symmetry reduce to already existing notions of quantum symmetry provided by Bichon and Banica. Our constructions also show that any multigraph with at least two pairs of vertices with multiple edges among them possesses genuine quantum symmetry.