In this talk, we will discuss De Finetti representation theorem on exchangeable probability assignment, that provides an operational definition of the concept of an unknown probability in Bayesian probability theory, where probabilities are taken to be degrees of belief instead of objective states of nature.
l give a brief description of classical version and then move onto the quantum analogue.
l discuss the proof of the theorem in quantum setting, given by Fuchs et. al.
There are wide applications of this theorem, mainly in tomography, where a probability distribution (a prior) is to be estimated by repeated trials on identically prepared systems.
l cover the background required in quantum setting as we progress in the talk.