This was part of
Quantum Hardware
Optimal Control Techniques for Quantum Interferometry
Michael Goerz, U.S. Army Research Lab
Wednesday, October 30, 2024
Abstract: "Quantum sensing technology holds great promise for a range of applications due to its unparalleled measurement sensitivity. We consider the implementation of nuclear spin gyroscopes based on nitrogen-vacancy (NV) centers in diamond, which offer a scalable, miniaturizable solid-state platform that operates effectively under a broad array of environmental conditions. For a Ramsey interferometric scheme, these gyroscopes rely on precise control of the three-level Λ system ¹⁴N nuclear spin states with two-color RF fields. The signal contrast in this system is limited by inhomogeneities in the driving field over the sample. We address this challenge with quantum optimal control theory. To this end, we have developed QuantumControl.jl, a Julia-based framework designed for gradient-based open-loop quantum control. I will demonstrate the framework’s specific capabilities and techniques in optimizing Ramsey interferometric schemes. This includes methods to model the dynamics through the Ramsey scheme, employing control pulses before and after an extended free time evolution in a manner suitable for gradient-based optimal control. Furthermore, we use semi-automatic differentiation to formulate novel functionals that directly target the optimal response of the interferometer in the spectral domain, and to impose constraints on the driving fields. These advancements enable the design of RF pulses that maintain robustness against inhomogeneities, significantly improving signal contrast. I will delve into the development and application of these quantum control techniques, emphasizing how they overcome specific challenges inherent in Ramsey interferometry, ultimately leading to high-precision quantum sensing methods. See also https://www.overleaf.com/read/vyynfrmcmktj#3705eb for a TeX version, with co-authors (which may still change, as I need to get the abstract formally approved through ARL)"