Quantum walks, deformed relativity, and Hopf algebra symmetries
Quantum Physics
2016-05-26 v2 High Energy Physics - Theory
Abstract
We show how the Weyl quantum walk derived from principles in Ref. [1], enjoying a nonlinear Lorentz symmetry of dynamics, allows one to introduce Hopf algebras for position and momentum of the emerging particle. We focus on two special models of Hopf algebras--the usual Poincar\'e and the k-Poincar\'e algebras.
Keywords
Cite
@article{arxiv.1601.04592,
title = {Quantum walks, deformed relativity, and Hopf algebra symmetries},
author = {Alessandro Bisio and Giacomo Mauro D'Ariano and Paolo Perinotti},
journal= {arXiv preprint arXiv:1601.04592},
year = {2016}
}
Comments
11 pages. Published version. The present article supersedes arXiv:1503.01017