Construction of distinct discrete time scattering quantum walk formulations on the honeycomb lattice

DOI10.1016/j.aop.2018.07.026zbMath1398.82029OpenAlexW2886980437MaRDI QIDQ1798058

B. F. Venancio, M. G. E. da Luz

Publication date: 23 October 2018

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2018.07.026

zbMATH Keywords

honeycomb latticetopological featuresquantum walks formulationsscattering quantum walks

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Quantum equilibrium statistical mechanics (general) (82B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fast Fourier transforms: A tutorial review and a state of the art
• From quantum cellular automata to quantum lattice gases
• Landau levels for discrete-time quantum walks in artificial magnetic fields
• Quantum walks: a comprehensive review
• Topological phenomena in quantum walks: elementary introduction to the physics of topological phases
• Physical implementation of quantum walks
• Unitary equivalence of quantum walks
• Discrete quantum walks hit exponentially faster
• An example of the difference between quantum and classical random walks
• Spatial search on a honeycomb network
• Quantum Computation and Quantum Information
• Random Walk: A Modern Introduction
• QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS
• An Algorithm for the Machine Calculation of Complex Fourier Series
• First Steps in Random Walks
• Brownian Motion
• Quantum walks and search algorithms