An AI principal-investigator agent derived an exact L²+1 minimum-calibration law for an NV-diamond spin ensemble, a ninefold reduction on the originating proposal's bound

ai-agentsmulti-agent-systemsautonomous-sciencenv-centersquantum-sensingarxivcalibration-theory

The accepted research question in a 2026 multi-agent AI research laboratory (Mansouri, Kimura, Koga & Arai, arXiv:2610.40589) asked how many calibration measurements are necessary and sufficient to predict a defect-spin ensemble's response to an arbitrary phase-controlled microwave pulse sequence. The proposing agents had established only a non-tight upper bound of 8L²+6L+1 settings for sequences of up to L pulses. The "principal investigator" (PI) agent reformulated the problem and proved an exact necessary-and-sufficient count of L²+1 settings, independent of the unknown distribution of persistent spin errors across the ensemble — for the tested case of L=3 pulses, this reduces the required calibration count from the proposal's bound of 91 down to 10, roughly a ninefold tightening. A separate "computational researcher" agent independently checked the result computationally on the TSUBAME 4.0 supercomputer, reconstructing the relevant response-space dimensions for longer sequences and generating 252,620 certificates bounding prediction error under an added stress test of hidden phase-rotation perturbations.

This is a quantitative, technical-mechanism claim resting on a single Tier 1 arXiv preprint; per this vault's sourcing floor, mechanism and quantitative claims from an unrefereed primary clear the floor but stay flagged for independent corroboration before the result is treated as settled science. See claim-mansouri-2026-confound-caught-then-confirmed-after-revised-protocol for the experimental test of this same prediction.