Discretizing spacetime is often a natural step towards modelling physical systems. For
quantum systems, if we also demand a strict bound on the speed of information propagation …

Quantum cellular automata are arrays of identical finite-dimensional quantum systems,
evolving in discrete-time steps by iterating a unitary operator G. Moreover the global …

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 …

Describing a particle in an external electromagnetic field is a basic task of quantum
mechanics. The standard scheme for this is known as “minimal coupling” and consists of …

Quantum walks on lattices can give rise to one-particle relativistic wave equations in the
long-wavelength limit. In going to multiple particles, quantum cellular automata (QCA) are …

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 …

It is shown that discrete-time quantum walks can be used to digitize, ie, to time discretize
fermionic models of continuous-time lattice gauge theory. The resulting discrete-time …

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 …

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