A quantum advantage for inferring causal structure

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Causal Inference via Algebraic Geometry: Feasibility Tests for Functional Causal Structures with Two Binary Observed Variables (2015, background): “Here, it has been shown that the quantum correlations can distinguish the two cases even in uncontrolled experiments, implying a quantum advantage for causal inference [28].”
Concepts of quantum non-Markovianity: A hierarchy (2017, background): “In the quantum case, the temporal and ‘spatial’ (for want of a better word) situations are quite distinct [8].”
Quantum common causes and quantum causal models (2016, background): “Quantum causal models may also provide novel schemes for simulating many-body systems in condensed matter physics [12] and novel means for inferring the underlying causal structure from quantum correlations [13,14].”