Determine the exact outcome-law diameter for continuous record cells

Determine the exact outcome-law diameter induced by the continuous recording bins for the specified quantum circuits, rather than relying solely on the conservative channel-envelope bound.

Background

The paper constructs a certified upper bound on the Hellinger diameter of outcome laws within continuous record cells using independent stochastic-channel affinities and coherent-rotation fidelity. The resulting integer bin allocations guarantee the declared tolerance over the full parameter box without exhaustive outcome simulation.

The authors explicitly distinguish this conservative optimization from determining the actual worst-case outcome-law diameter of the measured circuits. Thus, identifying the exact diameter remains unresolved and could potentially yield less costly recording precision than the general channel certificate.