State Estimation and Control for Stochastic Quantum Dynamics With Homodyne Measurement: Stabilizing Qubits Under Uncertainty

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Dehaghani, NB (Author) Other; Aguiar, AP (Author) FEUP; Wisniewski, R (Author) Other

Journal

Title: IEEE Access

Vol. 12

ISSN: 2169-3536

Publisher: IEEE

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-016-YJV

DOI: 10.1109/access.2024.3455170

Abstract (EN): This paper introduces a Lyapunov-based control strategy alongside two filtering methods for controlling and estimating the evolution of coherence vector elements from sequential homodyne measurements. The methods include traditional quantum filtering and a novel extended Kalman filter, which explicitly addresses the dynamics of a stochastic master equation with correlated noise, thereby ensuring the quantum properties of the estimated state variable by design. We also explore scenarios where the system's Hamiltonian is unknown, demonstrating that both filters exhibit reduced performance with increased estimation errors. To address this, we propose a multiple model estimation scheme applicable to either filter. The estimated density operator is then controlled using the proposed switching-based Lyapunov scheme, which guarantees noise-to-state practical stability in probability. We demonstrate the effectiveness of our approach in stabilizing a qubit coupled to a leaky cavity under homodyne detection, even with uncertainty in the resonance frequency.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11