Mahler/zeta correspondence

DOI10.1007/s11128-022-03644-0OpenAlexW4292486741MaRDI QIDQ2101607

Takashi Komatsu, Norio Konno, Iwao Sato, Shunya Tamura

Publication date: 6 December 2022

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.05966

zbMATH Keywords

zeta functionMahler measurerandom walkquantum walk

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the relation between quantum walks and zeta functions
• Spectral and asymptotic properties of Grover walks on crystal lattices
• Zeta Mahler measures
• Quantum walks: a comprehensive review
• Physical implementation of quantum walks
• Vertex-face/zeta correspondence
• Grover/zeta correspondence based on the Konno-Sato theorem
• On Some Inequalities for Polynomials in Several Variables
• Small Limit Points of Mahler's Measure
• Lattice Green's functions in all dimensions
• Limit Theorems and Absorption Problems for One-Dimensional Correlated Random Walks
• On Measures of Polynomials in Several Variables: Corrigendum
• Mahler's Measure and Special Values of L-functions
• Markov Chains
• Spanning tree generating functions and Mahler measures
• Quantum Walks
• Walk/Zeta Correspondence for quantum and correlated random walks
• Quantum walks and search algorithms