2009/08/31 by A. Romanelli, Alejandro Romanelli · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Coin flipping #Function (biology) #Hilbert space #Mathematical analysis #Mathematics #Operator (biology) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum and electron transport phenomena #Quantum mechanics #Quantum walk #Random walk #Sequence (biology) #Statistical physics #Statistics #Unitary operator #Unitary state #quant-ph
paper · pdf · doi:10.1103/physreva.80.042332
6 pages, 3 figures, appendix added. to appear in PRA
arxiv created 2009/10/08 · openalex publication_date 2009/10/29 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We generalize the discrete quantum walk on the line using a time-dependent unitary coin operator. We find an analytical relation between the long-time behaviors of the standard deviation and the coin operator. Selecting the coin time sequence allows to obtain a variety of predetermined asymptotic wave-function spreadings: ballistic, sub-ballistic, diffusive, subdiffusive, and localized.