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Digital Optimal Robust Control.

Meri Harutyunyan¹, Frédéric Holweck^2,3, Dominique Sugny¹

¹Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 6303, Université de Bourgogne, BP 47870, F-21078 Dijon, France.

Physical Review Letters

|December 1, 2023

Summary

This summary is machine-generated.

We developed a digital quantum optimal control method using pulse sequences to improve quantum technology development. This approach achieves high robustness and speed, matching continuous protocols in tests on IBM quantum computers.

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Area of Science:

Quantum Control
Quantum Computing
Quantum Technologies

Background:

Accurate quantum optimal control is crucial for advancing quantum technologies.
Current methods face limitations in precise implementation and determination.
Developing efficient control strategies is essential for quantum system performance.

Purpose of the Study:

To propose a novel digital procedure for quantum optimal control.
To enable the accurate implementation of continuous-time optimal protocols.
To enhance the speed and robustness of quantum operations.

Main Methods:

A digital procedure based on pulse sequences with designed amplitudes and phases.
Leveraging optimal continuous-time protocols and geometric analysis for robustness.
Demonstration on IBM quantum computers using single-qubit transfers.

Main Results:

Successful robust quantum state transfer using Gaussian or square pulses.
Achieved global optimality and near ultimate speed limits with moderate parameters.
Digital solution demonstrated comparable speed to continuous protocols for square pulses.

Conclusions:

The proposed digital quantum optimal control method overcomes implementation limitations.
This approach offers a practical pathway to high-performance quantum technologies.
The method provides a robust and efficient means for quantum state manipulation.