The Discrete-time Quaternionic Quantum Walk and the Second Weighted Zeta Function on a Graph

DOI10.4036/IIS.2017.A.02zbMath1470.81045arXiv1604.05856MaRDI QIDQ5147808

Hideo Mitsuhashi, Norio Konno, Iwao Sato

Publication date: 28 January 2021

Published in: Interdisciplinary Information Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05856

zbMATH Keywords

quaternionquantum walkIhara zeta functionquaternionic quantum walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Quantum stochastic calculus (81S25) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Random walks on graphs (05C81) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Quaternionic Grover walks and zeta functions of graphs with loops

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The discrete-time quaternionic quantum walk on a graph
• On the relation between quantum walks and zeta functions
• Physical implementation of quantum walks
• A matrix representation of graphs and its spectrum as a graph invariant
• Quaternionic quantum walks
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• A new Bartholdi zeta function of a graph
• Quantum walks and search algorithms

This page was built for publication: The Discrete-time Quaternionic Quantum Walk and the Second Weighted Zeta Function on a Graph