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SUMMARY:Iterating & Hacking Bayes' Rule in both Classical & Quantum Regime
 s [Confirmed]
DTSTART:20260525T150000Z
DTEND:20260525T163000Z
DTSTAMP:20260811T113500Z
UID:indico-event-2320@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Clive Aw (National University of Singapore)\n\nRecen
 t work on identifying a canonical analogue of Bayes’ rule in the quantum
  regime has produced a variety of proposals that both recover classical Ba
 yesian features and highlight genuinely quantum aspects of state updating 
 under physical transformations. In this talk\, we briefly review the main 
 approaches and key results in this programme.\n \nWe then focus on two ad
 ditional structural features that viable quantum analogues to Bayes’ rul
 e should satisfy. First\, iterated Bayesian updating under repeated eviden
 ce should exhibit asymptotic “frequentist” behaviour\, in the sense th
 at the influence of the prior washes out. Second\, there should exist a du
 al notion of updating not only beliefs about states\, but also about the t
 ransformations themselves—an operation that naturally connects Bayesian 
 inference with optimal transport objects known as Schrödinger bridges.\n
  \nWe argue that both features are realised within the framework of the P
 etz recovery map and the corresponding update rule arising from the Leifer
 –Spekkens conditional state formalism.\n\nhttps://events.perimeterinstit
 ute.ca/event/2320/
LOCATION:PI/3-301 - Alice Room (Perimeter Institute for Theoretical Physic
 s)
URL:https://events.perimeterinstitute.ca/event/2320/
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