@Article{Arnault_etal2019,
author="Arnault, P.
and Perez, A.
and Arrighi, P.
and Farrelly, T.",
title="Discrete-time quantum walks as fermions of lattice gauge theory",
journal="Physical Review A",
year="2019",
publisher="Amer Physical Soc",
volume="99",
number="3",
pages="032110--16pp",
abstract="It is shown that discrete-time quantum walks can be used to digitize, i.e., to time discretize fermionic models of continuous-time lattice gauge theory. The resulting discrete-time dynamics is thus not only manifestly unitary, but also ultralocal, i.e., the particle{\textquoteright}s speed is upper bounded, as in standard relativistic quantum field theories. The lattice chiral symmetry of staggered fermions, which corresponds to a translational invariance, is lost after the requirement of ultralocality of the evolution; this fact is an instance of Meyer{\textquoteright}s 1996 no-go results stating that no nontrivial scalar quantum cellular automaton can be translationally invariant [D. A. Meyer, J. Stat. Phys. 85, 551 (1996); Phys. Lett. A 223, 337 (1996)]. All results are presented in a single-particle framework and for a (1+1)-dimensional space-time.",
optnote="WOS:000461896700002",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=3950), last updated on Tue, 02 Apr 2019 15:24:37 +0000",
issn="2469-9926",
doi="10.1103/PhysRevA.99.032110",
opturl="https://arxiv.org/abs/1807.08303",
opturl="https://doi.org/10.1103/PhysRevA.99.032110",
language="English"
}