36 citations · 80 across the 8 of their papers we have counts for
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math.CT2013★ 6 cited
Towards a Categorical Account of Conditional Probability
Robert Furber, Bart Jacobs
This paper presents a categorical account of conditional probability, covering both the classical and the quantum case. Classical conditional probabilities are expressed as a certa…
math.CT2013★ 36 cited
From Kleisli Categories to Commutative C*-algebras: Probabilistic Gelfand Duality
Robert W. J. Furber, Bart P. F. Jacobs
C*-algebras form rather general and rich mathematical structures that can be studied with different morphisms (preserving multiplication, or not), and with different properties (co…
math.CT2011★ 23 cited
The Expectation Monad in Quantum Foundations
Bart Jacobs, Jorik Mandemaker
The expectation monad is introduced abstractly via two composable adjunctions, but concretely captures measures. It turns out to sit in between known monads: on the one hand the di…