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A categorical approach to quantum probability -- Arthur J. Parzygnat, PHK 03.11.2021
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Title: A categorical approach to quantum probability
Speaker: Arthur J. Parzygnat (IHES, Paris)
Abstract:
Recent advances in categorical probability theory suggest ideas on how to make inference in quantum mechanics. I will focus on two cases, which are Bayesian updating and disintegrations. Bayesian updating can be viewed as an algorithm for making decisions or guesses based on evidence. Disintegrations are special cases and are closely related to conditional expectations and error correction in classical and quantum computation. This will be an introduction to the subject, and I will give many examples.
Talk given at the Prague-Hradec Králové seminar on Cohomology in algebra, geometry, physics and statistics:
Slides:
Speaker: Arthur J. Parzygnat (IHES, Paris)
Abstract:
Recent advances in categorical probability theory suggest ideas on how to make inference in quantum mechanics. I will focus on two cases, which are Bayesian updating and disintegrations. Bayesian updating can be viewed as an algorithm for making decisions or guesses based on evidence. Disintegrations are special cases and are closely related to conditional expectations and error correction in classical and quantum computation. This will be an introduction to the subject, and I will give many examples.
Talk given at the Prague-Hradec Králové seminar on Cohomology in algebra, geometry, physics and statistics:
Slides: