A typed lambda calculus based on intuitionistic BV logic blocks higher-order quantum-control programs that violate causality, and its categorical model excludes the OCB process.
Charging quantum batteries via indefinite causal order: Theory and experiment
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Causality in Pure Quantum Computation with Quantum Control
A typed lambda calculus based on intuitionistic BV logic blocks higher-order quantum-control programs that violate causality, and its categorical model excludes the OCB process.