Related Experiment Video
Updated: Oct 4, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
A discrete relativistic spacetime formalism for 1 + 1-QED with continuum limits
Kevissen Sellapillay1, Pablo Arrighi2,3, Giuseppe Di Molfetta4
1Aix-Marseille Université, CPT, Campus de Luminy, case 907, 13288, Marseille, France. kevissen.sellapillay@univ-amu.fr.
Abstract:
We build a quantum cellular automaton (QCA) which coincides with [Formula: see text] QED on its known continuum limits. It consists in a circuit of unitary gates driving the evolution of particles on a one dimensional lattice, and having them interact 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 the continuous-time discrete-space limit, the QCA converges to the Kogut-Susskind staggered version of [Formula: see text] QED. We also show that, in the continuous spacetime limit 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.
Related Concept Videos
Space-Time Curvature and the General Theory of Relativity
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
The Uncertainty Principle
The Quantum-Mechanical Model of an Atom
The de Broglie Wavelength
Differential Form of Maxwell's Equations
First Law: Particles in One-dimensional Equilibrium

