Optimizing entangling quantum gates for physical systems
M. M. M\"uller, D. M. Reich, M. Murphy, H. Yuan, J. Vala, K. B., Whaley, T. Calarco, and C. P. Koch

TL;DR
This paper develops an optimization algorithm combining control theory and geometric analysis to identify the most effective entangling two-qubit gates tailored for specific physical quantum systems.
Contribution
It introduces a novel method that integrates optimal control with geometric classification to optimize entangling gates for various quantum hardware.
Findings
Effective entangling gates identified for trapped polar molecules.
Optimized gates improve quantum information processing performance.
Method applicable to different physical quantum systems.
Abstract
Optimal control theory is a versatile tool that presents a route to significantly improving figures of merit for quantum information tasks. We combine it here with the geometric theory for local equivalence classes of two-qubit operations to derive an optimization algorithm that determines the best entangling two-qubit gate for a given physical setting. We demonstrate the power of this approach for trapped polar molecules and neutral atoms.
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