Constructive sources and readers
Certification Resources and the Value of Retained Quantum-Reader Records
Retained trajectories can certify a frozen reader with less source stock than final error scores alone.
Jeremy Rodgers · Independent Researcher · 2026-10-27
The question and the results
How much source stock is needed to validate a frozen reader, and how much does its retained trajectory add beyond the final correctness score?
- Terminal-error validation admits exact finite gates and anytime likelihood gates, with nearly matching expected-stock information bounds. The target is the fixed policy’s maximum label error.
- Under the same trusted shared-visibility family, a finite trajectory gate validates the fourteen-copy reader with false-certificate probability 2⁻²⁰ and nominal acceptance probability at least 0.95 using at most 720,160 source copies. Every terminal-error-only validator in that comparison needs more than 1,992,371 copies in expectation.
- At the exact nominal device, an uncapped trajectory gate accepts almost surely with expected stock below 254,746. Preparation, response-family and deployment-stability promises are stated separately; finite expected cost is not a finite worst-case duration.
Connections to the programme
The complete argument.
Read every section on site, including the mathematics, proofs, examples and references. Each section has its own address for citation and navigation.
- 01Orientation and abstract
- 02What is being certified
- 03Task-relative validation with a near-optimal expected stock bound
- 04An information lower boundary for terminal-risk certification
- 05What richer records can and cannot certify
- 06Readable trajectories can reduce certification stock under a declared response model
- 07A predictable response-tube guarantee
- 08Deployment conditioning, resources and reproducibility
- 09An explicit validation-resource and timing comparison
- 10References
Publication and computational material.
Original PDFComplete searchable textOriginal verification supplement ZIPReading inventoryThe supplied publication is a PDF. Prose reflows as HTML where its notation permits; complex mathematical passages retain their exact source-vector layout with searchable transcriptions. The transcription preserves extracted symbols rather than fraction or matrix structure.