Geometric and holonomic quantum computation
Abstract
Geometric and holonomic quantum computation utilizes intrinsic geometric properties of quantum-mechanical state spaces to realize quantum logic gates. Since both geometric phases and quantum holonomies are global quantities depending only on the evolution paths of quantum systems, quantum gates based on them possess built-in resilience to certain kinds of errors. This review provides an introduction to the topic as well as gives an overview of the theoretical and experimental progress for constructing geometric and holonomic quantum gates and how to combine them with other error-resistant techniques.
Cite
@article{arxiv.2110.03602,
title = {Geometric and holonomic quantum computation},
author = {Jiang Zhang and Thi Ha Kyaw and Stefan Filipp and Leong-Chuan Kwek and Erik Sjöqvist and Dianmin Tong},
journal= {arXiv preprint arXiv:2110.03602},
year = {2023}
}
Comments
added a new section "experimental realizations and gates robustness", updated the section on "Combining GQC and HQC with other quantum technologies" with 80 more references