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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We build a quantum cellular automaton (QCA) which coincides with 1+1 QED onits known continuum limits. It consists in a circuit of unitary gates drivingthe evolution of particles on a one dimensional lattice, and having theminteract with the gauge field on the links. The particles are massive fermions,and the evolution is exactly U(1) gauge-invariant. We show that, in thecontinuous-time discrete-space limit, the QCA converges to the Kogut-Susskindstaggered version of 1+1 QED. We also show that, in the continuous spacetimelimit and in the free one particle sector, it converges to the Dirac equation,a strong indication that the model remains accurate in the relativistic regime.

A discrete relativistic spacetime formalism for 1+1-QED with continuum limits