Discrete Lorentz covariance for quantum walks and quantum cellular automata

We formalize a notion of discrete Lorentz transforms for quantum walks (QW) and quantum cellular automata (QCA), in $(1+1)$ -dimensional discrete spacetime. The theory admits a diagrammatic representation in terms of a few local, circuit equivalence rules. Within this framework, we show the first-or...

Full description

Bibliographic Details
Main Authors: Pablo Arrighi, Stefano Facchini, Marcelo Forets
Format: Article
Language:English
Published: IOP Publishing 2014-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/16/9/093007