# LIB2-182 — The MOS channel family permits a range of odd-response amplitudes

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.316)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

At record-quotient tier, the unital completely positive channel Wλ,τ exists for |λ| ≤ √2 and reproduces the local odd leg at |λ| = √2; whitening does not force that endpoint.

## Caution

Complete positivity and whitening do not select the endpoint or provide a microscopic support-restoring observation map.

## Primary source

Appendix T, §15.3, Record-quotient channel existence, PDF p.334: "At record-quotient tier a unital completely positive channel exists,"

## Machine

- url: /library-v2/LIB2-182/
- content_sha256: b6fc3e1b5faa410ea900cad2a202eb7cfee4015a5add17f71b7f4b271a2f5bfb
- candidate_ids: C2-135

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP