What was already known
The one-use Holevo optimum had been characterized and numerically evaluated. Earlier capacity bounds left a gap for generalized channels with interior thermal occupation; additivity was known for channels with a pure output.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Determines the unrestricted classical capacity of every qubit generalized amplitude-damping channel.
Limitations
The result concerns repeated uses of the same channel. Additivity with arbitrary different partner channels and decoding by separate measurements are outside the pinned Lean scope.
Technical verification
OpenAI reports a Lean proof matching the selected claim.
Formal checking
The pinned Lean note covers full repeated-use additivity, operational capacity equality and attainment by phase-pair product ensembles.
- Checker
- OpenAI-reported Lean 4 / Comparator
- Scope
- For every qubit generalized amplitude-damping channel with both parameters in [0,1], unassisted classical capacity equals its one-use Holevo information and an attained one-variable maximum; Holevo information is additive over all repeated uses.
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and scoped checking review for non-notifying local inclusion.
Read this published revision