Master Thesis Online
Semidefinite optimization for the separability problem
Louvet, Jonathan 
Promotor(s) :
Bastin, Thierry
Date of defense : 29-Jun-2022/30-Jun-2022 • Permalink : http://hdl.handle.net/2268.2/14799
Louvet_Jonathan_Master_thesis.pdfDetails
| Title : | Semidefinite optimization for the separability problem |
| Translated title : | [fr] Optimisation semidefinie pour le problème de la separabilité |
| Author : | Louvet, Jonathan
|
| Date of defense : | 29-Jun-2022/30-Jun-2022 |
| Advisor(s) : | Bastin, Thierry
|
| Committee's member(s) : | Bousquet, Eric
Lumay, Geoffroy
Martin, John
Mathonet, Pierre
|
| Language : | English |
| Number of pages : | 72 |
| Keywords : | [en] Entanglement [en] Semidefinite optimization [en] Truncated moment problem [en] Convex optimization [en] Separability problem [en] Certificate of entanglement [en] Certificate of separability [fr] Intrication [fr] Optimisation semidefinite [fr] Problème des moments tronqué [fr] Optimisation convexe [fr] Problème de la séparabilité [fr] Certificat d'intrication [fr] Certificat de séparabilité |
| Discipline(s) : | Physical, chemical, mathematical & earth Sciences > Physics |
| Institution(s) : | Université de Liège, Liège, Belgique |
| Degree: | Master en sciences physiques, à finalité approfondie |
| Faculty: | Master thesis of the Faculté des Sciences |
Abstract
[en] Since the discovery of quantum entanglement, characterization and detection of multipartite entanglement has remained an open question. In this work, we present how one can map the separability problem onto the truncated moment problem in probability theory. It leads to a necessary and sufficient condition for the separability of arbitrary quantum systems with arbitrary symmetries between the subparts. A semidefinite algorithm is presented, whose outcome provides a certificate of separability, or entanglement.
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