2023/10/16 by Mathieu Roget, Roget, Mathieu, Giuseppe Di Molfetta +1 · 1 citation
Computer Science · Engineering · #Distributed #FOS: Computer and information sciences #FOS: Physical sciences #Molecular Communication and Nanonetworks #Parallel #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum-Dot Cellular Automata #and Cluster Computing (cs.DC)
paper · pdf · doi:10.48550/arxiv.2310.10451
openalex publication_date 2023/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A discrete time quantum walk is known to be the single-particle sector of a quantum cellular automaton. Searching in this mathematical framework has interested the community since a long time. However, most results consider spatial search on regular graphs. This work introduces a new quantum walk-based searching scheme, designed to search nodes or edges on arbitrary graphs. As byproduct, such new model allows to generalise quantum cellular automata, usually defined on regular grids, to quantum anonymous networks, allowing a new physics-like mathematical environment for distributed quantum computing.