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Level 6 · Quantum causal models

Graduate study and research entry

Level 6 icon Graduate: Graduate study and research entry

Connect operational quantum theory with causal questions, explicit assumptions, and testable model classes.

Lessons in this level

LessonObjectiveLab
L6-01 · Quantum common causesExplain why a quantum common cause differs from a classical hidden variable.Entanglement and Bell tests
L6-02 · Channels in the Choi representationUse an explicit Choi convention to recover channel outputs.Qubits and the Bloch sphere
L6-03 · Quantum DAGs and Markov assumptionsState a quantum causal model before using its graph.Confounding and intervention
L6-04 · Operational interventionsCompare conditioning, measurement, and replacement interventions.Confounding and intervention
L6-05 · Discovery and informational accessIdentify the assumptions needed to infer a quantum causal structure.Qubits and the Bloch sphere
L6-06 · Bell inequalities and causal inequalitiesDistinguish two tests of different model classes.Entanglement and Bell tests
L6-07 · Process matrices and validityCheck why positivity alone is insufficient for a process.Confounding and intervention
L6-08 · The quantum switchExplain coherent order without overstating its certification.Interference
L6-09 · Quantum counterfactual questionsState the additional structure needed for a counterfactual.Qubits and the Bloch sphere
L6-10 · Design a quantum causal experimentSpecify an identifiable, testable causal comparison.Noise and quantum channels

Watch & listen

The Quantum Physicist as Causal Detective: Robert Spekkens and Elie Wolfe Public Lecture. Perimeter Institute for Theoretical Physics · 1h 04m · 2020. Perimeter Institute public lecture by Robert Spekkens and Elie Wolfe on the quantum physicist as causal detective.

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