Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série SEM-LPTM-UCP
Domaines math-ph
Date Jeudi 25 Octobre 2018
Heure 14:00
Institut LPTM
Salle 4.13 St Martin II
Nom de l'orateur Lancien
Prenom de l'orateur Cécilia
Addresse email de l'orateur
Institution de l'orateur Institut de Mathématiques de Toulouse
Titre High-dimensional entanglement in quantum states with positive partial transpose
Résumé Genuine high-dimensional entanglement, i.e. the property of having a high Schmidt number, constitutes a resource in quantum processing protocols. On the contrary, states with a positive partial transpose (PPT) are generally considered weakly entangled, as they cannot be distilled into pure entangled states. This naturally raises the question whether high Schmidt numbers are possible for PPT states. This will be the main topic of the talk. I will begin with exhibiting an explicit construction of PPT state that achieves optimal Schmidt number scaling (in the dimension of the subsystems). I will then explain that, in fact, random PPT states typically share this feature. Finally I will study the somewhat opposite problem and show that the PPT property also imposes limitations on the Schmidt number. The talk will be based on arXiv:1802.04975.
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