# Thermal qubit channel capacity calculator

Family 276: Classical capacity of generalized amplitude damping. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Quantum communication teams can replace a generic ensemble search with the stated scalar optimization and track the maximizing binary signal ensemble.

## Applicability and commercial boundary

The capacity is unassisted classical information for a memoryless GAD channel with collective decoding. Separate measurement decoding and arbitrary-partner additivity are outside selected formal scope; channel fit must be independently assessed.

## Initial business decision

Prototype numerical benchmark. Buyer budget, commercial novelty and profitability are unvalidated.

## Next verification action

Implement the exact parameter convention and analytic endpoint/symmetry checks, labeling the optimizer as floating-point evidence.

## Evidence scope

The catalog statement was individually reviewed. Main-paper abstract passages and available family scope notes were also inspected; paper-level theorem and algorithm details still require deeper review. No independent Lean check was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

## Main source

[Classical capacity and entropy inequalities for generalized amplitude damping](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Classical-capacity-and-entropy-inequalities-for-generalized-amplitude-damping-September-24-2026/paper.pdf).