[Paper Review] Differential Evolution for Quantum Robust Control: Algorithm, Applications and Experiments

Daoyi Dong, Xing Xi+4 more|arXiv (Cornell University)|Feb 13, 2017

Laser-Matter Interactions and Applications3 citations

TL;DR

This paper proposes msMS_DE, an improved differential evolution algorithm using multiple samples and a mixed mutation strategy to solve quantum robust control problems. It demonstrates superior performance in designing femtosecond laser pulses for two-photon absorption and halomethane fragmentation, with successful experimental validation on laser control systems.

ABSTRACT

Robust control design for quantum systems has been recognized as a key task in quantum information technology, molecular chemistry and atomic physics. In this paper, an improved differential evolution algorithm of msMS_DE is proposed to search robust fields for various quantum control problems. In msMS_DE, multiple samples are used for fitness evaluation and a mixed strategy is employed for mutation operation. In particular, the msMS_DE algorithm is applied to the control problem of open inhomogeneous quantum ensembles and the consensus problem of a quantum network with uncertainties. Numerical results are presented to demonstrate the excellent performance of the improved DE algorithm for these two classes of quantum robust control problems. Furthermore, msMS_DE is experimentally implemented on femtosecond laser control systems to generate good signals of two photon absorption and control fragmentation of halomethane molecules CH2BrI. Experimental results demonstrate excellent performance of msMS_DE in searching effective femtosecond laser pulses for various tasks.

Motivation & Objective

• To address the challenge of robust control in quantum systems subject to inhomogeneities and uncertainties.
• To develop an efficient optimization algorithm capable of handling complex quantum control tasks under experimental constraints.
• To enable effective design of femtosecond laser pulses for quantum processes such as two-photon absorption and molecular fragmentation.

Proposed method

• The msMS_DE algorithm employs multiple samples during fitness evaluation to enhance robustness against system variations.
• A mixed strategy is used in the mutation operation, combining different mutation schemes to improve exploration and exploitation.
• The algorithm is applied to open inhomogeneous quantum ensembles and uncertain quantum networks to solve consensus problems.
• Fitness evaluation integrates performance across multiple system realizations to ensure robustness.
• The method is implemented experimentally on femtosecond laser control systems to generate optimized laser pulses.
• Numerical and experimental results validate the algorithm’s effectiveness in real-world quantum control tasks.

Experimental results

Research questions

• RQ1 Can msMS_DE effectively optimize robust control fields for inhomogeneous quantum ensembles?
• RQ2 How well does the mixed mutation strategy in msMS_DE perform compared to standard differential evolution in quantum control?
• RQ3 Can msMS_DE generate experimentally viable femtosecond laser pulses for two-photon absorption and molecular fragmentation?
• RQ4 What is the performance of msMS_DE in solving consensus problems within uncertain quantum networks?
• RQ5 To what extent does using multiple samples in fitness evaluation improve control robustness in quantum systems?

Key findings

• msMS_DE successfully generated robust laser pulses that achieved strong two-photon absorption signals in experimental validation.
• The algorithm demonstrated excellent performance in controlling fragmentation of CH2BrI molecules using femtosecond laser pulses.
• Numerical results confirmed that msMS_DE outperforms standard differential evolution in solving quantum robust control problems.
• The use of multiple samples in fitness evaluation significantly improved the robustness of control fields across uncertain quantum systems.
• The experimental implementation validated the practical feasibility of msMS_DE for real-time quantum control applications.
• The mixed mutation strategy in msMS_DE enhanced convergence and exploration in complex, high-dimensional quantum control landscapes.