Adaptive Fidelity-Based Density Tracking for Open Quantum Systems
Optimization and Control
2026-02-25 v2
Abstract
This paper presents an online learning-based adaptive control framework for density-matrix tracking in a two-level Lindblad-Gorini-Kossakowski-Sudarshan (LGKS) quantum system, in which the feedback control law does not require prior knowledge of the system Hamiltonian or dissipative operators. The adaptive controller is based on a continuous-time formulation of retrospective cost adaptive control (RCAC). To preserve the geometric structure of the quantum-state evolution, an adaptive PID controller driven by Uhlmann's fidelity is employed. The proposed approach is validated in numerical simulations for both low-entropy and high-entropy density-tracking tasks, and robustness to measurement noise in the feedback path is investigated.
Keywords
Cite
@article{arxiv.2410.02882,
title = {Adaptive Fidelity-Based Density Tracking for Open Quantum Systems},
author = {Jhon Manuel Portella Delgado and Ankit Goel},
journal= {arXiv preprint arXiv:2410.02882},
year = {2026}
}