The aim of this paper is to build quantum circuits that implement discrete-time quantum
walks having an arbitrary position-dependent coin operator. The position of the walker is …

A single-particle framework for unitary lattice gauge theory in discrete time - IOPscience
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Ergodicity breaking is observed in the blockade regime of Rydberg atom arrays, in the form
of low entanglement eigenstates known as scars, which fail to thermalize. The signature of …

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 …

Discrete-time quantum walks (QWs) are transportation models of single quantum particles
over a lattice. Their evolution is driven through causal and local unitary operators. QWs are a …

Cluster states were introduced in the context of measurement-based quantum computing. In
one dimension, the cluster Hamiltonian possesses topologically protected states. We …

We consider introducing the Dirac sea in a discrete spacetime model of fermions which
approximates the Dirac equation in the continuum limit. However, if we attempt to fill up …

Discrete-time quantum walks with position-dependent coin operators have numerous
applications. For a position dependence that is sufficiently smooth, it has been provided in …

This book provides an overview of quantum walks, limits, and transport equations. After an
introduction to quantum computing, quantum simulation, and then symmetries, it then …

This paper deals with the second quantization of interacting relativistic Fermionic and
Bosonic fields in the arena of discrete phase space and continuous time. The mathematical …