Implementing Pearl's $\mathcal{DO}$-Calculus on Quantum Circuits: A Simpson-Type Case Study on NISQ Hardware

Researchers have developed a method to implement Pearl's causal inference framework (DO-calculus) on quantum circuits, mapping causal networks to quantum hardware through 'circuit surgery.' The approach was successfully demonstrated on IonQ's quantum processor using a healthcare model, showing agreement with classical baselines.

• →Pearl's DO-calculus for causal inference has been successfully mapped onto quantum circuits using controlled-rotation gates and structural circuit modifications.
• →The approach uses 'circuit surgery' as a quantum analogue to Pearl's graph surgery for implementing interventions on causal networks.
• →Experimental validation was conducted on IonQ Aria trapped-ion processor with a 10-qubit synthetic healthcare model showing close agreement with classical methods.
• →The research establishes a concrete pathway for representing and executing causal inference within quantum circuit formalism.
• →No quantum speedup is claimed, focusing instead on demonstrating feasibility of causal reasoning on quantum hardware.