Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines cond-mat.stat-mech
Date Mercredi 6 Novembre 2019
Heure 12:00
Institut LPENS
Salle Conf. IV
Nom de l'orateur Fawzi
Prenom de l'orateur Omar
Addresse email de l'orateur
Institution de l'orateur École Normale Supérieure de Lyon
Titre Relative entropy accumulation
Résumé We ask the question whether entropy accumulates, in the sense that the operationally relevant total uncertainty about an n-partite system A=(A1,…An) corresponds to the sum of the entropies of its parts Ai. The Asymptotic Equipartition Property implies that this is indeed the case to first order in n, under the assumption that the parts Ai are identical and independent of each other. In this talk, I will show that entropy accumulation occurs more generally, i.e., without an independence assumption, provided one quantifies the uncertainty about the individual systems Ai by the von Neumann entropy of suitably chosen conditional states. I will also show a generalization of this result to relative entropies and will illustrate the result with an application to quantum cryptography. Based on,
Numéro de preprint arXiv
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