Grover/zeta correspondence based on the Konno-Sato theorem

DOI10.1007/s11128-021-03214-wOpenAlexW3138616029MaRDI QIDQ2679038

Iwao Sato, Norio Konno, Takashi Komatsu

Publication date: 18 January 2023

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

Full work available at URL: https://arxiv.org/abs/2103.12971

zbMATH Keywords

zeta functionregular graphinteger latticequantum walkGrover walkKonno-Sato theorem

Mathematics Subject Classification ID

Graph polynomials (05C31) Quantum computation (81P68) Other Dirichlet series and zeta functions (11M41)

Related Items (4)

Vertex-face/zeta correspondence ⋮ Metzler/zeta correspondence ⋮ Mahler/zeta correspondence ⋮ Walk/zeta correspondence

Cites Work

• The Ihara zeta function of the infinite grid
• On the relation between quantum walks and zeta functions
• Heat kernels on regular graphs and generalized Ihara zeta function formulas
• Quantum walks, Ihara zeta functions and cospectrality in regular graphs
• Stationary amplitudes of quantum walks on the higher-dimensional integer lattice
• Quantum walks: a comprehensive review
• Physical implementation of 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
• Quantum walks and search algorithms
• Unnamed Item

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