Summary
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.
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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| Web resources: | https://cordis.europa.eu/project/id/101149111 |
| Start date: | 01-09-2025 |
| End date: | 31-08-2027 |
| Total budget - Public funding: | - 165 312,00 Euro |
Cordis data
Original description
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.
Status
SIGNEDCall topic
HORIZON-MSCA-2023-PF-01-01Update Date
25-11-2024
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