We propose a discrete spacetime formulation of quantum electrodynamics in one dimension
(aka the Schwinger model) in terms of quantum cellular automata, ie translationally invariant …

Gauge invariance is one of the more important concepts in physics. We discuss this concept
in connection with the unitary evolution of discrete-time quantum walks in one and two …

This work provides a relativistic, digital quantum simulation scheme for both $2+ 1$ and $3+
1$ dimensional quantum electrodynamics (QED), based on a discrete spacetime formulation …

We build a quantum cellular automaton (QCA) which coincides with 1+ 1 QED on its known
continuum limits. It consists in a circuit of unitary gates driving the evolution of particles on a …

The Thirring Quantum Cellular Automaton (QCA) describes the discrete time dynamics of
local fermionic modes that evolve according to one step of the Dirac cellular automaton …

Gauge-invariance is a fundamental concept in Physics—known to provide mathematical
justification for the fundamental forces. In this paper, we provide discrete counterparts to the …

Gauge symmetries play a fundamental role in Physics, as they provide a mathematical
justification for the fundamental forces. Usually, one starts from a non-interactive theory …

Gauge-invariance is a mathematical concept that has profound implications in Physics—as it
provides the justification of the fundamental interactions. It was recently adapted to the …