Differentiable master equation solver for quantum device characterization

Autor: D. L. Craig, N. Ares, E. M. Gauger
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Physical Review Research, Vol 6, Iss 4, p 043175 (2024)
Druh dokumentu: article
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.6.043175
Popis: Differentiable models of physical systems provide a powerful platform for gradient-based algorithms, with particular impact on parameter estimation and optimal control. Quantum systems present a particular challenge for such characterization and control, owing to their inherently stochastic nature and sensitivity to environmental parameters. To address this challenge, we present a versatile differentiable quantum master equation solver facilitating direct computation of steady-state solutions, and incorporate this solver into a framework for device characterization capable of dealing with additional nondifferentiable parameters. Our approach utilizes gradient-based optimization and Bayesian inference to provide estimates and uncertainties in quantum device parameters. To showcase our approach, we consider steady-state charge transport through electrostatically defined quantum dots. Using simulated data, we demonstrate efficient estimation of parameters for a single quantum dot, and model selection as well as the capability of our solver to compute time evolution for a double quantum dot system. Our differentiable solver stands to widen the impact of physics-aware machine learning algorithms on quantum devices for characterization and control.
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