Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines cond-mat
Date Jeudi 13 Juin 2024
Heure 14:00
Institut LPENS
Salle Conf IV
Nom de l'orateur Gopalakrishnan
Prenom de l'orateur Sarang
Addresse email de l'orateur
Institution de l'orateur Princeton University
Titre Learnability transitions in monitored quantum dynamics
Résumé Continuously monitored quantum systems exhibit a measurement-induced phase transition between area-law and volume-law entanglement scaling. Monitored systems with a conserved charge undergo a separate transition, inside the volume-law phase, between a “charge-sharp” phase in which measurements efficiently collapse charge fluctuations and a “charge-fuzzy” phase in which they do not. For one-dimensional systems, the charge sharpening transition between these phases is a Kosterlitz-Thouless transition. I will describe the statistical mechanics of this transition, and provide an interpretation of the charge-sharpening transition as a qualitative change in how much information an eavesdropper can learn about the global charge of the system from local charge measurements. This “learnability” interpretation suggests a scalable experimental method for studying the transition; I will present data applying this method on noisy quantum hardware, and discuss how the statistical mechanics model can be used for error mitigation. I will comment on generalizations to higher dimensions and general symmetries.
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