Digital Optimal Robust Control

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.