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Chinese Control Conference (CCC)

An inverse-system method for the damping rate function identification of a non-Markovian single-qubit system

Lingyu Tan, Re-Bing Wu, Dewei Li, Shibei Xue

Published Jul 1, 2019• 0 citations
Publisher

Abstract

Quantum identification is a basic step for many quantum technologies. In this paper, we propose an inverse-system method to identify the damping rate function of a non-Markovian single-qubit system. Based on the time-convolution-less master equation, and using measured time traces of observables, the inverse-system method can extract the unknown damping rate function. For a computational singularity problem, we avoid it by switching between the two measured observebles. The effectiveness of our method is demonstrated in a numerical simulation.

DOI
10.23919/chicc.2019.8865821

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Parameter identification of quantum systems is a fundamental task in developing practical quantum technology. In this article, we study the identification of time-varying decoherence rates for open quantum systems. Given the measurement data of local observables, this can be formulated as an optimization problem. We expand the unknown decoherence rates into Fourier series and take the expansion coefficients as optimization variables. We then convert it into a minimax problem and apply a sequential linear programming technique to solve it. Numerical study on a two-qubit quantum system with a time-varying decoherence rate demonstrates the effectiveness of our algorithm.