The multiple facets of quantum cloning
This workshop is being organized following Denis Rochette’s PhD thesis defense entitled “Asymmetric cloning in quantum information theory”, and will focus on the many facets of cloning in quantum information theory.
The jury of the PhD thesis defense will be made up of:
- M. Antonio ÁCIN (The Institute of Photonic Sciences)
- M. Guillaume AUBRUN (Université Lyon 1)
- M. Fabrice GAMBOA (Université Toulouse III - Paul Sabatier)
- Mme Maria JIVULESCU (Politehnica University of Timisoara)
- M. Ion NECHITA (Université Toulouse III - Paul Sabatier)
- M. Clément PELLEGRINI (Université Toulouse III - Paul Sabatier)
- M. Michael WOLF (Technical University of Munich)
PhD thesis abstract: This thesis studies quantum cloning and related quantum entanglement problems using fundamental concepts of representation theory, in particular those associated with the symmetric group. The research explores Schur-Weyl duality and its extensions, which allow efficient representation and manipulation of quantum systems, providing a valuable tool for quantum information theory. A main application of Schur-Weyl duality is the quantum cloning problem, which is studied both for cases 1 → 2 and for the more general cases 1 → N, providing new insights into the constraints imposed by the no-cloning theorem. The study is then extended to a more general quantum entanglement problem on a complete graph. The thesis is organised into chapters on Schur-Weyl duality, the mathematical foundations of quantum mechanics, quantum cloning problems and quantum entanglement problems, with an appendix providing an overview of representation theory.
Zoom link for the PhD thesis defense : https://cnrs.zoom.us/j/97185893225?pwd=cGlWNFZnMHlsWnYreWw0dVNIdjNsQT09
Workshop speaker:
- Cécilia Lancien (Université de Grenoble)
- Ludwig Hruza (École Normale Superieure)
- Leevi Leppajarvi (Slovak Academy of Sciences)
- Maria Jivulescu (University Politehnica of Timisoara)
- Andreas Bluhm (Université de Grenoble)
See program.