Zeta functions with respect to general coined quantum walk of periodic graphs

DOI10.37236/9104zbMath1469.11356arXiv1910.12782OpenAlexW3042050304MaRDI QIDQ782947

Takashi Komatsu, Norio Konno, Iwao Sato

Publication date: 29 July 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12782

zbMATH Keywords

periodic graphscoined quantum walk

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other Dirichlet series and zeta functions (11M41)

Related Items (1)

Zeta functions of periodic graphs derived from quantum walk

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the relation between quantum walks and zeta functions
• Quantum walks, Ihara zeta functions and cospectrality in regular graphs
• Ihara's zeta function for periodic graphs and its approximation in the amenable case
• \(L_ 2\)-cohomology and group cohomology
• The spectrum of an infinite graph
• A matrix representation of graphs and its spectrum as a graph invariant
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• Determinant theory in finite factors
• The Ihara zeta function of infinite graphs, the KNS spectral measure and integrable maps
• A Survey on Spectra of infinite Graphs
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• Zeta functions of discrete groups acting on trees

This page was built for publication: Zeta functions with respect to general coined quantum walk of periodic graphs