I've just written a new paper entitled: "Quantum d-separation and quantum belief propagation". Here is the abstract:

The goal of this paper is to generalize classical d-separation and classical Belief Propagation (BP) to the quantum realm. Classical d-separation is an essential ingredient of most of Judea Pearl's work. It is crucial to all 3 rungs of what Pearl calls the 3 rungs of Causation. So having a quantum version of d-separation and BP probably implies that most of Pearl's Bayesian networks work, including his theory of causality, can be translated in a straightforward manner to the quantum realm.

I've uploaded it to a github repo. Here is its pdf

https://github.com/rrtucci/quantum-d-sep/raw/main/quantum-d-sep.pdf

Comments and criticism are welcomed. Thanks for reading this.

Speak quantum friend and enter