TY  - JOUR
AU  - Arnault, P.
AU  - Perez, A.
AU  - Arrighi, P.
AU  - Farrelly, T.
PY  - 2019
DA  - 2019//
TI  - Discrete-time quantum walks as fermions of lattice gauge theory
T2  - Phys. Rev. A
JO  - Physical Review A
SP  - 032110
EP  - 16pp
VL  - 99
IS  - 3
PB  - Amer Physical Soc
AB  - 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'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'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.
SN  - 2469-9926
UR  - https://arxiv.org/abs/1807.08303
UR  - https://doi.org/10.1103/PhysRevA.99.032110
DO  - 10.1103/PhysRevA.99.032110
LA  - English
N1  - WOS:000461896700002
ID  - Arnault_etal2019
ER  -