Nonlinear Optimal Feedback Control of the Two-Level Open Non-Markovian Stochastic Quantum System

Qamar, Shahid; Cong, Shuang; Li, Kezhi; Dong, Zhixiang; Shan, Feng

doi:10.1142/s123016122150013x

Cited by 2 publications

(2 citation statements)

References 42 publications

(66 reference statements)

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“…( 13) using the measurement output signal from the principal quantum system. The optimal estimator based on the statedependent differential Riccati equation (SDDRE) is one of the highly promising real-time estimation strategies for the such nonlinear systems [53,94]. The real-time estimator can be designed in the presence of state-dependent multiplicative noise with a state-dependent coefficient form [95,96].…”

Section: Real-time Optimal State Estimatormentioning

confidence: 99%

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Fast Quantum Calibration using Bayesian Optimization with State Parameter Estimator for Non-Markovian Environment

Peng¹,

Qamar²,

Xiao³

et al. 2022

Preprint

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As quantum systems expand in size and complexity, manual qubit characterization and gate optimization will be a non-scalable and time-consuming venture. Physical qubits have to be carefully calibrated because quantum processors are very sensitive to the external environment, with control hardware parameters slowly drifting during operation, affecting gate fidelity. Currently, existing calibration techniques require complex and lengthy measurements to independently control the different parameters of each gate and are unscalable to large quantum systems. Therefore, fully automated protocols with the desired functionalities are required to speed up the calibration process. This paper aims to propose single-qubit calibration of superconducting qubits under continuous weak measurements from a real physical experimental settings point of view. We propose a real-time optimal estimator of qubit states, which utilizes weak measurements and Bayesian optimization to find the optimal control pulses for gates' design. Our numerical results demonstrate a significant reduction in the calibration process, obtaining a high gate fidelity. Using proposed estimator we estimated the qubit state with and without measurement noise and the estimation error between qubit state and the estimator state is less than 2%. With this setup, we drive an approximated pi pulse with final fidelity of 99.28%. This shows that our proposed strategy is robust against the presence of measurement and environmental noise and can also be applicable for the calibration of many other quantum computation technologies.

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Section: Real-time Optimal State Estimatormentioning

confidence: 99%

“…Optimization algorithms are playing a vital role in the quantum system calibration [52][53][54][55], and are broadly categorized by their ability to calculate the gradient of the parameters requiring optimization.…”

Section: Introductionmentioning

confidence: 99%