uri physics colloquium

Quantum Bayesian Inference

Wednesday, 8 December at 4pm in East Hall Room 112 (in person event) 

Dr. Arthur J. Parzygnat,

Institut des Hautes Etudes Scientifiques,
Bures-sur-Yvette, France

abstract

How we make optimal decisions in light of new evidence and our prior knowledge is often a consequence of Bayes’ rule. Classically, conditional probabilities are used to express the uncertainty in such decisions. In quantum systems, positive maps replace conditional probabilities, but it is less clear what replaces Bayes’ rule. In this talk, I will provide one answer to this question and illustrate how it specializes to many important concepts in quantum information theory, such as error-correcting codes.