Comfortable place for quantum Walker on finite path

DOI10.1007/s11128-022-03588-5OpenAlexW4285606884MaRDI QIDQ2101506

Norio Konno, Hisashi Morioka, Etsuo Segawa, Yoshihiro Anahara

Publication date: 6 December 2022

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

Full work available at URL: https://arxiv.org/abs/2203.04108

zbMATH Keywords

quantum walkcomfortability

Mathematics Subject Classification ID

Quantum computation (81P68) Dynamical aspects of cellular automata (37B15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stationary scattering theory for unitary operators with an application to quantum walks
• Realistic quantum probability
• Free quantum motion on a branching graph
• From quantum cellular automata to quantum lattice gases
• Quantum random walks in one dimension
• Generalized eigenfunctions for quantum walks via path counting approach
• The meeting problem in the quantum walk
• Limit Theorems and Absorption Problems for One-Dimensional Correlated Random Walks
• A dynamical system induced by quantum walk
• Multi-walker discrete time quantum walks on arbitrary graphs, their properties and their photonic implementation
• One-dimensional quantum walks
• Generalized eigenfunctions and scattering matrices for position-dependent quantum walks
• Modifying quantum walks: a scattering theory approach
• Quantum graphs: I. Some basic structures
• Feynman-type representation of the scattering matrix on the line via a discrete-time quantum walk
• A comfortable graph structure for Grover walk