Quaternionic Grover walks and zeta functions of graphs with loops
type: Item
instance of: scholarly article
title: Quaternionic Grover walks and zeta functions of graphs with loops
zbMATH Open document ID: 1382.05068
author: Norio Konno
author: Hideo Mitsuhashi
author: Iwao Sato
published in: Graphs and Combinatorics
publication date: 2018-02-14T00:00:00Z
Mathematics Subject Classification ID: 05C81
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 81P68
zbMATH DE Number: 6838841
zbMATH Keywords: quantum walk
zbMATH Keywords: Ihara zeta function
zbMATH Keywords: quaternion
MaRDI profile type: Publication
full work available at URL: s00373-017-1785-4
OpenAlex ID: W2617289386
cites work: Q3127106
cites work: QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS
cites work: THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
cites work: A matrix representation of graphs and its spectrum as a graph invariant
cites work: Q4228473
cites work: Q3491824
cites work: On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
cites work: Q4982598
cites work: Quaternionic quantum walks
cites work: On the relation between quantum walks and zeta functions
cites work: The discrete-time quaternionic quantum walk on a graph
cites work: The Discrete-time Quaternionic Quantum Walk and the Second Weighted Zeta Function on a Graph
cites work: Physical implementation of quantum walks
cites work: The scattering matrix of a graph
cites work: Quantum walks and search algorithms
cites work: A new Bartholdi zeta function of a graph
cites work: Quantum chaos on discrete graphs
DOI: 10.1007/S00373-017-1785-4
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description: scientific article; zbMATH DE number 6838841