2300 — D(S3) Center Readout Requires Controlled Powers and a Distinct Three-Qubit Record
Result
Exact Z8 phase estimation maps the central residues to sector records as
Three qubits are necessary and sufficient for the eight orthogonal records. Following this measurement by within-block depolarization gives the record-producing 36-Kraus center instrument
Discarding the record recovers the nonselective center expectation.
The six-level holonomy ancilla, private random-control records, and retained
sector record are distinct resources. Most importantly, uncontrolled
reachability of U1,U2,U4 does not supply their controlled versions; a
conditional coupling interface remains source-unproved.
Scope
This is an exact dilation target and resource inventory, not a proof that a device supplies controlled central powers, measurement, or reset.
Durable verification
- Packet:
research/kitaev/s3-ancilla-measurement-reset-and-instrument.md - Checker:
uv run --with sympy python research/kitaev/checkers/check_s3_ancilla_measurement_instrument.py - Result:
research/kitaev/results/s3-ancilla-measurement-instrument.json - Eight aggregate gates pass
- Epistemic graph:
ev-000000003167-dcebc7dd-c150-4d3d-bda9-cea53a936110 - Ledger allocation:
seqclaim-23b2b0f2a2fa311ec6374376