An overview of Quantum Cellular Automata
Quantum Physics
2019-09-09 v2 Discrete Mathematics
High Energy Physics - Lattice
Mathematical Physics
Dynamical Systems
math.MP
Abstract
Quantum cellular automata consist in arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G. Moreover the global evolution G is required to be causal (it propagates information at a bounded speed) and translation-invariant (it acts everywhere the same). Quantum cellular automata provide a model/architecture for distributed quantum computation. More generally, they encompass most of discrete-space discrete-time quantum theory. We give an overview of their theory, with particular focus on structure results; computability and universality results; and quantum simulation results.
Cite
@article{arxiv.1904.12956,
title = {An overview of Quantum Cellular Automata},
author = {Pablo Arrighi},
journal= {arXiv preprint arXiv:1904.12956},
year = {2019}
}
Comments
23 pages, 5 figures. See also review by Farrelly