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China Automation Congress (CAC)

Quantum-Embedded Extended Kalman Filter: An Ensemble Adaptive State Estimation Approach

Jinghao Liu, Fangyu Li, Honggui Han

Published Sep 26, 2025• 0 citations
Publisher
DOI
10.1109/cac67268.2025.11487868

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In this paper we propose to estimate the state of a quantum system dynamically evolving in the presence of white Gaussian noise (WGN) under Schrödinger dynamics using Extended Kalman Filter (EKF) algorithm. In the proposed measurement model the EKF is applied to obtain the conditional expectation of the state at a given observation time up to that time. First the complex Schrödinger equation of dimension N is transformed into a real Schrödinger equation of dimension 2N. MATLAB programs were implemented to plot the wave function, error and noise to signal ratio (NSR). NSR within minimum bounds is obtained.