Quantum walks with an anisotropic coin II: scattering theory

Autor:	Richard, S., Suzuki, A., de Aldecoa, R. Tiedra
Rok vydání:	2018
Předmět:	Mathematical Physics Mathematics - Spectral Theory Quantum Physics
Druh dokumentu:	Working Paper
DOI:	10.1007/s11005-018-1100-1
Popis:	We perform the scattering analysis of the evolution operator of quantum walks with an anisotropic coin, and we prove a weak limit theorem for their asymptotic velocity. The quantum walks that we consider include one-defect models, two-phase quantum walks, and topological phase quantum walks as special cases. Our analysis is based on an abstract framework for the scattering theory of unitary operators in a two-Hilbert spaces setting, which is of independent interest. Comment: 23 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1801.02779 Zobrazit plný text záznamu View this record from Arxiv