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Quantum Control for Time-dependent Noise by Inverse Geometric Optimization

2022/05/05 by Xiaodong Yang, Yang, Xiaodong, Xinfang Nie +7
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Laser-Matter Interactions and Applications #Quantum Physics (quant-ph) #Spectroscopy Techniques in Biomedical and Chemical Research #quant-ph

paper · pdf · doi:10.48550/arxiv.2205.02515

5+7 pages, 3+4 figures

arxiv created 2022/05/05 · openalex publication_date 2022/05/05 · arxiv updated 2022/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Quantum systems are exceedingly difficult to engineer because they are sensitive to various types of noises. In particular, time-dependent noises are frequently encountered in experiments but how to overcome them remains a challenging problem. In this work, we extend and apply the recently proposed robust control technique of inverse geometric optimization to time-dependent noises by working it in the filter-function formalism. The basic idea is to parameterize the control filter function geometrically and minimize its overlap with the noise spectral density. This then effectively reduces the noise susceptibility of the controlled system evolution. We show that the proposed method can produce high-quality robust pulses for realizing desired quantum evolutions under realistic noise models, and thus will find practical applications for current physical platforms.

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