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Quantum boundary conditions for infinite-dimensional control

Taking advantage of the underlying quantum features of the natural world to design new technologies is the principle at the root of the Second Quantum Revolution. Quantum control theory provides the mathematical substrate to this... ver más

31/08/2027

UC3M

165K€

Presupuesto del proyecto: 165K€

Líder del proyecto

UNIVERSIDAD CARLOS III DE MADRID No se ha especificado una descripción o un objeto social para esta compañía.

Total investigadores 1335

Fecha límite participación Sin fecha límite de participación.

Financiación concedida El organismo HORIZON EUROPE notifico la concesión del proyecto el día 2024-03-19

HORIZON-MSCA-2023-PF-01-01: MSCA Postdoctoral Fellowships 2023 ExpectedOutcome:Project results are expected to contribute to the following outcomes:

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No hay información privada compartida para este proyecto. Habla con el coordinador.

1 Participantes

UC3M

165.31K€ | Lider

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Duración del proyecto: 41 meses Fecha Inicio: 2024-03-19
Fecha Fin: 2027-08-31

Líder del proyecto

UNIVERSIDAD CARLOS III DE MADRID No se ha especificado una descripción o un objeto social para esta compañía.

Total investigadores 1335

Presupuesto del proyecto 165K€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto Taking advantage of the underlying quantum features of the natural world to design new technologies is the principle at the root of the Second Quantum Revolution. Quantum control theory provides the mathematical substrate to this principle by establishing precise conditions under which a system can be manipulated to reach any desired state in a finite time, and developing systematic methods for accomplishing this goal in an optimal way. This is a formidable task especially for systems with infinitely many degrees of freedom, for which advanced mathematical techniques are needed. The standard approach to quantum control relies on the use of external fields. A significant byproduct of such schemes is the possible loss of quantum correlations between the components of the system resulting from this interaction. An alternative route is achieving control by exploiting boundary effects, that is, manipulating the boundary conditions of the system. This is the idea at the core of Quantum Control at the Boundary (QCB), a promising yet underdeveloped paradigm. The aim of the project is to investigate the feasibility and shortcomings of QCB, laying the foundations to a systematic theory of boundary control schemes. By adopting and improving known results from infinite-dimensional control theory, the project will elucidate the conditions under which specific QCB schemes, including thick quantum graphs and cavities with moving boundaries, are controllable. The problem of optimal control and the practical implementation of such schemes will also be studied. The project draws ideas and techniques from different areas of mathematics and physics, by also requiring familiarity with the laws of Quantum Mechanics. This reflects the scientific background of the applicant. It will involve a significant transfer of knowledge to the host institution, and the training of the researcher from a scientific and a managerial point of view.

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