Defines quenched tail-certified information via inverse upper-tail loss, proves averaged Fisher data cannot certify it, identifies a Fisher-zero integrability transition, and shows tail-certified designs outperform average-QFI optimization by orders of magnitude in NV Ramsey experiments.
Quantum metrology in the finite- sample regime,
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Fisher Glasses: Tail-Certified Quantum Metrology in Quenched Environments
Defines quenched tail-certified information via inverse upper-tail loss, proves averaged Fisher data cannot certify it, identifies a Fisher-zero integrability transition, and shows tail-certified designs outperform average-QFI optimization by orders of magnitude in NV Ramsey experiments.