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Quantum boundary conditions for infinite-dimensional control

Project description

Manipulation of system boundaries to achieve quantum control

The second quantum revolution goes beyond leveraging quantum properties to achieve desired functions, and the control and manipulation of quantum systems plays a fundamental role. This is typically done using external fields. However, the application of external fields can negatively impact quantum correlations between system components. With the support of the Marie Skłodowska-Curie Actions programme, the QuBICo project aims to investigate the manipulation of boundary effects to achieve quantum control by adapting known results from infinite-dimensional control theory. The project will study the feasibility and challenges of quantum control at the boundary (QCB), creating the foundations for a systematic theory of QCB schemes and identifying the conditions under which specific QCB schemes are controllable.

Objective

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.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

(opens in new window) HORIZON-MSCA-2023-PF-01

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Coordinator

UNIVERSIDAD CARLOS III DE MADRID
Net EU contribution
€ 165 312,96
Address
CALLE MADRID 126
28903 Getafe (Madrid)
Spain
Region
Comunidad de Madrid Comunidad de Madrid Madrid
Activity type
Higher or Secondary Education Establishments
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Total cost
No data