Optimizing entangling quantum gates for physical systems

This is the authors' abstract. We don't add key points for this paper.

Optimal control theory is a versatile tool that presents a route to significantly improving figures of merit quantum information tasks. We combine it here with the geometric theory for local equivalence classes of -qubit operations to derive an optimization algorithm that determines the best entangling two-qubit gate for a physical setting.We demonstrate the power of this approach for trapped polar molecules and neutral atoms