English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Quantum cellular automata and quantum walks provide a framework for thefoundations of quantum field theory, since the equations of motion of freerelativistic quantum fields can be derived as the small wave-vector limit ofquantum automata and walks starting from very general principles. The intrinsicdiscreteness of this framework is reconciled with the continuous Lorentzsymmetry by reformulating the notion of inertial reference frame in terms ofthe constants of motion of the quantum walk dynamics. In particular, among thesymmetries of the quantum walk which recovers the Weyl equation--the so calledWeyl walk--one finds a non linear realisation of the Poincar\'e group, whichrecovers the usual linear representation in the small wave-vector limit. Inthis paper we characterise the full symmetry group of the Weyl walk which isshown to be a non linear realization of a group which is the semidirect productof the Poincar\'e group and the group of dilations.

Quantum Walks, Weyl equation and the Lorentz group