Quantum d-separation and quantum belief propagation
This work provides a foundational extension of classical causal inference tools to quantum systems, potentially enabling quantum causal reasoning for researchers in quantum information and AI.
This paper generalizes classical d-separation and Belief Propagation (BP) to the quantum realm. This generalization suggests that much of Pearl's work on Bayesian networks and causality could be directly applicable to quantum systems.
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.