54 citations · 324 across the 30 of their papers we have counts for
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quant-ph2020★ 8 cited
A functorial characterization of von Neumann entropy
Arthur J. Parzygnat
Using convex Grothendieck fibrations, we characterize the von Neumann entropy as a functor from finite-dimensional non-commutative probability spaces and state-preserving *-homomor…
quant-ph2020★ 23 cited
A non-commutative Bayes' theorem
Arthur J. Parzygnat, Benjamin P. Russo
Using a diagrammatic reformulation of Bayes' theorem, we provide a necessary and sufficient condition for the existence of Bayesian inference in the setting of finite-dimensional $…
quant-ph2020★ 8 cited
Inverses, disintegrations, and Bayesian inversion in quantum Markov categories
Arthur J. Parzygnat
We introduce quantum Markov categories as a structure that refines and extends a synthetic approach to probability theory and information theory so that it includes quantum probabi…