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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20261017T153940Z
DTSTART:20261109T150000Z
DTEND:20261109T160000Z
SUMMARY:Jakub Stavina: An introduction to quantum information geometry
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}bd1-mvckbe0
 4-qdisvb
DESCRIPTION:Abstract:\n\nIn this talk\, we present the framework of quant
 um information geometry. We first review key concepts in quantum statist
 ical mechanics\, focusing on the Hamiltonian\, thermal states\, and quan
 tum relative entropy. We then introduce the exponential family as a prot
 otypical quantum statistical manifold and apply Eguchi’s construction to
  derive its information-geometric structure and associated family of alp
 ha-connections. We next examine the relations between Petz’s classificat
 ion of monotone quantum metrics and Chentsov’s classical uniqueness theo
 rem. Finally\, we outline selected applications of the framework. 
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams room 1\, Alan Turing Building\, Manchester
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