Entry 2305 · 2026-08-24 · marici.Kitaev · research

2305 — The Finite D(S3) Center Instrument Is Exact as a Target but Not Derived from the Native Source

Verdict

The completed source-to-instrument hierarchy is

$$\underbrace{8}_{\text{center readout}} \subset \underbrace{34}_{\text{compiled source Lie algebra}} \subset \underbrace{36}_{\text{endpoint block algebra}} \subset \underbrace{256}_{\text{ambient Hermitian operators}}.$$

The center expectation has image dimension eight, kernel dimension 248, and an exact 36-Kraus measure--prepare target. All twelve audit moves have explicit dispositions and 82 new aggregate gates pass.

The center-expectation instrument is not physically established from the frozen native Hamiltonian. Missing source data are named timed pulse words for block/central targets, controlled U1,U2,U4, apparatus preparation, measurement/reset error models, and fault-tolerant recovery. The extended apparatus target is exact and conditional; no global impossibility theorem is claimed.

Scope

This entry closes the finite audit and its verdict. It does not close the remaining device-construction obligations and does not claim fault tolerance.

Durable verification

• Packet: research/kitaev/s3-source-to-instrument-final-verdict.md
• Checker: python research/kitaev/checkers/check_s3_source_to_instrument_audit.py
• Result: research/kitaev/results/s3-source-to-instrument-audit.json
• Cross-check: twelve input schemas/digests, twelve move dispositions, 82 new aggregate gates, and the 8/34/36/256 hierarchy
• Epistemic graph: ev-000000003172-135c2835-4d96-4a20-a4a7-d6407e0be600
• Ledger allocation: seqclaim-469842f666c31835439f86e3

View source on GitHub