Datasets:

PureOne
/

EIROQ-PHI

# Preregisterable mechanism and decision validation

## Scope

Single-qubit pure dephasing with independently calibrated binary integrated phase
magnitudes. No claim that arbitrary natural noise has this support. Every prefix
must use the marginal of a common environmental preparation law.

## Protocol A: expose the hidden direction

Freeze the seven-bin fourth-order sign laws p_plus and p_minus, common amplitudes,
all prefix controls with at most two pulses, and the three-pulse target cuts
(1,3,5). Calibrate phase magnitude, pulse width/error, relaxation, state preparation,
and readout independently. Generate the sign histories from the released exact
law, not by fitting the acquired data. Interleave the laws and measurement settings
where the preparation protocol permits it. Log chronology and all failures.

Primary predictions: low-pulse responses agree within the propagated error budget;
the target contrast follows the exact response product. Scan a common amplitude
as a control: the low-pulse difference stays zero in the ideal model. Add a local
pair amplitude imbalance to test the explicit capability tradeoff. Distinguish
phase error from a failure of the hypothesized common law.

## Protocol B: certify before measuring the target

Use six bins at independently validated phase magnitude pi/4. Acquire prefixes
(2,()), (4,(1,)), (6,(1,3)) and baseline (6,()). Freeze the simultaneous confidence
rule and systematic allowances. Publish the target lower bound and paired gain
before measuring target (6,(1,3,5)). The target data are validation, not selection
input. Include the extra target pulse's independent error allowance.

## Baselines and costs

Compare a direct target/baseline scan, the proposed prefix certificate, and an
appropriate established control-adapted method under matched support priors,
confidence, number of shots, readout, pulse imperfections, reset costs, and target
fidelity. Record total duration and required host processing. Do not substitute
settings for shots or ideal pulse counts for total time.

## Failure conditions

Reject the device-model claim if the calibrated model cannot jointly explain
prefix, baseline, and held-out target data. Reject a confidence claim if coverage
violations exceed the preregistered combined statistical/systematic budget. Reject
an efficiency claim if its gain disappears against a real matched competitor.
Empty feasible sets produce an abstention and diagnosis, not a favorable fitted
law. No sample size is universally prescribed; the supplied synthetic 50,000-shot
example is not a laboratory power calculation.

	# Preregisterable mechanism and decision validation

	## Scope

	Single-qubit pure dephasing with independently calibrated binary integrated phase
	magnitudes. No claim that arbitrary natural noise has this support. Every prefix
	must use the marginal of a common environmental preparation law.

	## Protocol A: expose the hidden direction

	Freeze the seven-bin fourth-order sign laws p_plus and p_minus, common amplitudes,
	all prefix controls with at most two pulses, and the three-pulse target cuts
	(1,3,5). Calibrate phase magnitude, pulse width/error, relaxation, state preparation,
	and readout independently. Generate the sign histories from the released exact
	law, not by fitting the acquired data. Interleave the laws and measurement settings
	where the preparation protocol permits it. Log chronology and all failures.

	Primary predictions: low-pulse responses agree within the propagated error budget;
	the target contrast follows the exact response product. Scan a common amplitude
	as a control: the low-pulse difference stays zero in the ideal model. Add a local
	pair amplitude imbalance to test the explicit capability tradeoff. Distinguish
	phase error from a failure of the hypothesized common law.

	## Protocol B: certify before measuring the target

	Use six bins at independently validated phase magnitude pi/4. Acquire prefixes
	(2,()), (4,(1,)), (6,(1,3)) and baseline (6,()). Freeze the simultaneous confidence
	rule and systematic allowances. Publish the target lower bound and paired gain
	before measuring target (6,(1,3,5)). The target data are validation, not selection
	input. Include the extra target pulse's independent error allowance.

	## Baselines and costs

	Compare a direct target/baseline scan, the proposed prefix certificate, and an
	appropriate established control-adapted method under matched support priors,
	confidence, number of shots, readout, pulse imperfections, reset costs, and target
	fidelity. Record total duration and required host processing. Do not substitute
	settings for shots or ideal pulse counts for total time.

	## Failure conditions

	Reject the device-model claim if the calibrated model cannot jointly explain
	prefix, baseline, and held-out target data. Reject a confidence claim if coverage
	violations exceed the preregistered combined statistical/systematic budget. Reject
	an efficiency claim if its gain disappears against a real matched competitor.
	Empty feasible sets produce an abstention and diagnosis, not a favorable fitted
	law. No sample size is universally prescribed; the supplied synthetic 50,000-shot
	example is not a laboratory power calculation.