Work

Feedback Stabilization via a Quantum Projection Filter

Year: 2025

Type: article

Abstract: . This paper considers a simplified model of open quantum systems undergoing imperfect measurements obtained via a projection filter approach. We use this approximate filter in the feedback stabilization problem, specifically in the case of quantum nondemolition (QND) measurements. The feedback design relies on the structure of the exponential family utilized for the projection process. We demonstrate that the introduced feedback guarantees exponential convergence of the original filter equation toward a predefined target state, corresponding to an eigenstate of the measurement operator.

Source: SIAM Journal on Control and Optimization

DOI: 10.1137/23m1591037

Authors: Nina H. Amini, Paolo Mason, Ibrahim Ramadan

Institutions: Université Paris-Sud, Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire des signaux et systèmes, CentraleSupélec

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: Iterative Generation of New quantum states of light for quantum Information processing, Estimation and control of open quantum systems