2010/10/27 by Maŕıa José Cantero, M. J. Cantero, F. Alberto Grünbaum +8 · 6 citations
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics #Discrete mathematics #FOS: Physical sciences #Mathematics #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum algorithm #Quantum mechanics #Quantum walk #Quantum-Dot Cellular Automata #Statistical physics #quant-ph
paper · pdf · doi:10.48550/arxiv.1010.5762
published in arXiv (Cornell University) (Cornell University)
arxiv created 2010/10/27 · openalex publication_date 2010/10/27 · arxiv updated 2010/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The CGMV method allows for the general discussion of localization properties for the states of a one-dimensional quantum walk, both in the case of the integers and in the case of the non negative integers. Using this method we classify, according to such localization properties, all the quantum walks with one defect at the origin, providing explicit expressions for the asymptotic return probabilities at the origin.