Implementing Quantum Gates by Optimal Control with Doubly Exponential Convergence

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.

4+2 figures; to appear in PRL

References in corpus (1)

• Implementation of Fault-tolerant Quantum Logic Gates via Optimal Control

Cited by in corpus (8)

• Robust control of quantum gates via sequential convex programming
• Exploring the trade-off between fidelity- and time-optimal control of quantum unitary transformations
• Experimental implementation of encoded logical qubit operations in a perfect quantum error correcting code
• Realization of quantum gates by Lyapunov control
• Coherent control of a qubit is trap-free
• Smooth optimal control with Floquet theory
• Operator Preparation and Characteristic Analysis of Open Quantum Systems Based on the Lyapunov Control Method
• Second order phase dispersion by optimised rotation pulses