Quantum simulation of $\phi^4$ theories in qudit systems
Quantum Physics
2022-04-12 v3
Abstract
We discuss the implementation of quantum algorithms for lattice theory on circuit quantum electrodynamics (cQED) system. The field is represented on qudits in a discretized field amplitude basis. The main advantage of qudit systems is that its multi-level characteristic allows the field interaction to be implemented only with diagonal single-qudit gates. Considering the set of universal gates formed by the single-qudit phase gate and the displacement gate, we address initial state preparation and single-qudit gate synthesis with variational methods.
Cite
@article{arxiv.2108.13357,
title = {Quantum simulation of $\phi^4$ theories in qudit systems},
author = {Doga Murat Kurkcuoglu and M. Sohaib Alam and Joshua Adam Job and Andy C. Y. Li and Alexandru Macridin and Gabriel N. Perdue and Stephen Providence},
journal= {arXiv preprint arXiv:2108.13357},
year = {2022}
}
Comments
6 pages, 3 figures