Control and Optimization results and methods for Quantum Systems

Project funded by Fundação para a Ciência e a Tecnologia, I.P. (FCT), grant 2021.07608.BD. Runs 2021-09-01 to 2025-02-06. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2026-07-23); national funding data, not CORDIS. Abstract given by the source: The thesis concerns novel control and optimization developments targeting dynamics of quantum systems to harness the formidable potential for computation and communications of the extraordinary quantum properties. First, we address low-dimensional quantum systems, notably, unitary transformations, resetting quantum systems, and quantum entanglement theory in the presence of super-selection rules, for which we will develop novel open loop -Maximum Principle of Pontryagin in Gamkrelidze form - and closed loop and feedback control- Lyapunov and Hamilton-Jacobi-Bellman methods - for quantum systems under state constraints. A bi-level quantum control architecture will follow from the combination of the developed methods. Second, quantum control of infinite dimensional many-body systems targeting the scaling of the previous results will be considered. Issues such as irreversibility, reachability, and computability are at the core of the envisaged developments on Variational Quantum Analysis, and Reinforcement Learning. High fidelity gate implementation, and quantum-variational-circuit design will illustrate the derived results and methods.

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of Fundação para a Ciência e a Tecnologia, I.P. (FCT). Retrieved 2026-10-28. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: The project, funded by FCT, runs from September 1, 2021, to February 6, 2025, focusing on control and optimization methods for quantum systems. It includes developments in low-dimensional systems and infinite-dimensional many-body systems. Suggested technology pillar: computing. Generated by AI from the public source text; it may contain errors and the original source is authoritative.