Implementing Quantum Gates by Optimal Control with Doubly Exponential Convergence

TL;DR

This paper presents a new optimal control algorithm for quantum gates that converges doubly exponentially faster than existing methods, enabling more efficient quantum information processing within physical coherence times.

Contribution

The authors introduce a novel algorithm for quantum control that significantly accelerates convergence, improving the efficiency of implementing quantum gates compared to prior techniques.

Findings

Faster convergence by one to three orders of magnitude

Enhanced ability to study control within coherence times

Constrained solutions to feasible experimental regions

Abstract

We introduce a novel algorithm for the task of coherently controlling a quantum mechanical system to implement any chosen unitary dynamics. It performs faster than existing state of the art methods by one to three orders of magnitude (depending on which one we compare to), particularly for quantum information processing purposes. This substantially enhances the ability to both study the control capabilities of physical systems within their coherence times, and constrain solutions for control tasks to lie within experimentally feasible regions. Natural extensions of the algorithm are also discussed.