A quantum cellular automaton for one-dimensional QED
Quantum Physics
2020-04-17 v2 Other Condensed Matter
Discrete Mathematics
High Energy Physics - Lattice
Mathematical Physics
math.MP
Abstract
We propose a discrete spacetime formulation of quantum electrodynamics in one-dimension (a.k.a the Schwinger model) in terms of quantum cellular automata, i.e. translationally invariant circuits of local quantum gates. These have exact gauge covariance and a maximum speed of information propagation. In this picture, the interacting quantum field theory is defined as a "convergent" sequence of quantum cellular automata, parameterized by the spacetime lattice spacing---encompassing the notions of continuum limit and renormalization, and at the same time providing a quantum simulation algorithm for the dynamics.
Cite
@article{arxiv.1903.07007,
title = {A quantum cellular automaton for one-dimensional QED},
author = {Pablo Arrighi and Cédric Bény and Terry Farrelly},
journal= {arXiv preprint arXiv:1903.07007},
year = {2020}
}
Comments
15 pages, 4 figures, v2: typo corrected