Optimal complexity of parameterized quantum circuits
Quantum Physics
2024-05-31 v1
Abstract
Parameterized quantum circuits play a key role for the development of quantum variational algorithms in the realm of the NISQ era. Knowing their actual capability of performing different kinds of tasks is then of the utmost importance. By comparing them with a prototypical class of universal random circuits we have found that their approach to the asymptotic complexity defined by the Haar measure is faster, needing less gates to reach it. Topology has been revealed crucial for this. The majorization criterion has proven as a relevant complementary tool to the expressibility and the mean entanglement.
Cite
@article{arxiv.2405.19537,
title = {Optimal complexity of parameterized quantum circuits},
author = {Guilherme Ilário Correr and Pedro C. Azado and Diogo O. Soares-Pinto and Gabriel Carlo},
journal= {arXiv preprint arXiv:2405.19537},
year = {2024}
}
Comments
8 pages, 4 figures