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• W2954096441 abstract "The identification of time-varying parameters (e.g., directly inaccessible in situ signals in vacuum and low-temperature environments) is prevalent for characterizing the dynamics of quantum processes. Under certain circumstances, they can be identified from time-resolved measurements via Ramsey interferometry experiments, but only with specially designed probe systems can the parameters be explicitly read out, and a rigorous identifiability analysis is lacking, i.e., whether the measurement data are sufficient for unambiguous identification. In this paper we formulate this problem as the invertibility of the input-output mapping associated with the quantum system for which an algebraic identifiability criterion is derived based on the system's relative degree. The invertibility analysis also leads to an inversion-based algorithm for numerically identifying the parameters, which is computationally much more efficient than nonlinear regression methods. The effectiveness of the criterion are demonstrated by numerical examples." @default.
• W2954096441 created "2019-07-12" @default.
• W2954096441 creator A5001608625 @default.
• W2954096441 creator A5041203880 @default.
• W2954096441 creator A5062053163 @default.
• W2954096441 date "2021-02-22" @default.
• W2954096441 modified "2023-10-17" @default.
• W2954096441 title "Identification of time-varying signals in quantum systems" @default.
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• W2954096441 doi "https://doi.org/10.1103/physreva.103.022612" @default.
• W2954096441 hasPublicationYear "2021" @default.
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