Classification of qubit cellular automata on hypercubic lattices
Quantum Physics
2025-09-08 v2
Abstract
We classify quantum cellular automata whose cells are qubits, on hypercubic lattices , with the von Neumann neighborhood scheme, in terms of realizability as finite-depth quantum circuits. We show the most general structure of such automata and use its characterisation to simulate a few steps of evolution and evaluate the rate of entanglement production between one cell and its surroundings.
Keywords
Cite
@article{arxiv.2408.04493,
title = {Classification of qubit cellular automata on hypercubic lattices},
author = {Andrea Pizzamiglio and Alessandro Bisio and Paolo Perinotti},
journal= {arXiv preprint arXiv:2408.04493},
year = {2025}
}
Comments
6+6 pages, 5+4 figures; v2 minor revisions