Gate-set evaluation metrics for closed-loop optimal control on nitrogen-vacancy center ensembles in diamond
Abstract
A recurring challenge in quantum science and technology is the precise control of their underlying dynamics that lead to the desired quantum operations, often described by a set of quantum gates. These gates can be subject to application-specific errors, leading to a dependence of their controls on the chosen circuit, the quality measure and the gate-set itself. A natural solution would be to apply quantum optimal control in an application-oriented fashion. In turn, this requires the definition of a meaningful measure of the contextual gate-set performance. Therefore, we explore and compare the applicability of quantum process tomography, linear inversion gate-set tomography, randomized linear gate-set tomography, and randomized benchmarking as measures for closed-loop quantum optimal control experiments, using a macroscopic ensemble of nitrogen-vacancy centers in diamond as a test-bed. Our work demonstrates the relative trade-offs between those measures and how to significantly enhance the gate-set performance, leading to an improvement across all investigated methods.
Cite
@article{arxiv.2403.00616,
title = {Gate-set evaluation metrics for closed-loop optimal control on nitrogen-vacancy center ensembles in diamond},
author = {Philipp J. Vetter and Thomas Reisser and Maximilian G. Hirsch and Tommaso Calarco and Felix Motzoi and Fedor Jelezko and Matthias M. Müller},
journal= {arXiv preprint arXiv:2403.00616},
year = {2025}
}