23 citations · 52 across the 12 of their papers we have counts for
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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-ph2019★ 7 cited
Non-commutative disintegrations: existence and uniqueness in finite dimensions
Arthur J. Parzygnat, Benjamin P. Russo
Motivated by advances in categorical probability, we introduce non-commutative almost everywhere (a.e.) equivalence and disintegrations in the setting of C*-algebras. We show that…