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Author Di Molfetta, G.; Soares-Pinto, D.O.; Duarte Queiros, S.M.
Title Elephant quantum walk Type Journal Article
Year 2018 Publication (up) Physical Review A Abbreviated Journal Phys. Rev. A
Volume 97 Issue 6 Pages 062112 - 6pp
Keywords
Abstract We introduce an analytically treatable discrete time quantum walk in a one-dimensional lattice which combines non-Markovianity and hyperballistic diffusion associated with a Gaussian whose variance sigma(2)(t) grows cubicly with time sigma alpha t(3). These properties have have been numerically found in several systems, namely, tight-binding lattice models. For its rules, our model can be understood as the quantum version of the classical non-Markovian “elephant random walk” process for which the quantum coin operator only changes the value of the diffusion constant although, contrarily, to the classical coin.
Address [Di Molfetta, Giuseppe] Univ Toulon & Var, Aix Marseille Univ, Nat Computat Res Grp, CNRS,LIS, Marseille, France, Email: giuseppe.dimolfetta@lis-lab.fr
Corporate Author Thesis
Publisher Amer Physical Soc Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 2469-9926 ISBN Medium
Area Expedition Conference
Notes WOS:000435076800002 Approved no
Is ISI yes International Collaboration yes
Call Number IFIC @ pastor @ Serial 3625
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