Derives causal Fisher-information inequalities from classical causal models via a series law on inverse Fisher information, showing violations falsify the model class and certify quantum metrological advantage through forbidden score correlations.
Zamir, A proof of the fisher information inequality via a data processing argument, IEEE Transactions on Information Theory44, 1246 (1998)
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Causal Fisher-Information Inequalities: Classical Causal Model Falsification and Metrological Advantage
Derives causal Fisher-information inequalities from classical causal models via a series law on inverse Fisher information, showing violations falsify the model class and certify quantum metrological advantage through forbidden score correlations.