Year: 2024
Type: article
Abstract: The limits of quantum feedback control have immediate consequences for quantum information science at large, yet remain largely unexplored. Here, we combine quantum filtering theory and moment-sum-of-squares techniques to construct a hierarchy of convex optimization problems that furnish monotonically improving, computable bounds on the best attainable performance for a broad class of quantum feedback control problems. These bounds may serve as witnesses of fundamental limitations, optimality certificates, or performance targets. We prove convergence of the bounds to the optimal control performance under technical conditions and demonstrate the practical utility of our approach by designing certifiably near-optimal controllers for a qubit in a cavity subjected to photon counting and homodyne detection measurements.
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Funders: National Science Foundation, U.S. Department of Energy, United States Agency for International Development, University of Pennsylvania, Pennsylvania State University, Equinor, Norges Forskningsråd, Advanced Research Projects Agency - Energy, Advanced Research Projects Agency, Division of Electrical, Communications and Cyber Systems, Air Force Research Laboratory
Awards: G1467515376, G1498456215, G2360264995, SWIFT: LARGE: Adaptive Radio Frequency Interference Cancellation for Radio Science Observatories, G4536555042, G5599649393, G620536356, G6553639979, Collaborative Research: Frameworks: Convergence of Bayesian inverse methods and scientific machine learning in Earth system models through universal differentiable programming, G6595087501, G7146022962, Framework: Software: Next-Generation Cyberinfrastructure for Large-Scale Computer-Based Scientific Analysis and Discovery, G7789225813, THIS COOPERATIVE AGREEMENT IS AWARDED TO CARNEGIE MELLON UNIVERSITY FOR A PROJECT ENTITLED “HIGH-FIDELITY ACCELERATED DESIGN OF HIGH-PERFORMANCE ELECTROCHEMICAL SYSTEMS”. THIS AWARD IS BEING MADE IN ACCORDANCE WITH FOA NUMBER DE-FOA-0002107 DIFFERENTIATE AND APPLICATION CONTROL NUMBER 2107-1548., ACCELERATING COUPLED HVAC BUILDING SIMULATION WITH A NEURAL COMPONENT ARCHITECTURE
OpenAlex ID: W4399766487