Statut  Confirmé 
Série  LPENSBQ 
Domaines  condmat 
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 measurementinduced phase transition between arealaw and volumelaw entanglement scaling. Monitored systems with a conserved charge undergo a separate transition, inside the volumelaw phase, between a “chargesharp” phase in which measurements efficiently collapse charge fluctuations and a “chargefuzzy” phase in which they do not. For onedimensional systems, the charge sharpening transition between these phases is a KosterlitzThouless transition. I will describe the statistical mechanics of this transition, and provide an interpretation of the chargesharpening 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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