Quantum parallel repetition for finite two-player games

What is the conjecture

OpenAI reports a Lean-formalized result on quantum parallel repetition for finite two-player games.
This issue is to request that the result be considered for addition to Formal Conjectures as @[category research solved]. Please see the linked official sources for the exact statement and scope.

Official article: https://openai.com/index/ten-advances-in-mathematics/
Paper: https://cdn.openai.com/pdf/ten-proofs-oai.pdf
Lean proof at an immutable commit: https://github.com/openai/ten-proofs/blob/a13547c6be4563746881d0b3b4c9fd03f72f0484/QuantumParallelRepetition.lean#L78143-L78166
Comparator statement template: https://github.com/openai/ten-proofs/blob/a13547c6be4563746881d0b3b4c9fd03f72f0484/ComparatorChallenges/G_QuantumParallelRepetition.lean#L112-L135

Prerequisites needed

The linked Comparator Challenges file provides compact definitions and a statement template. The full proof is external and can be referenced with @[formal_proof using lean4 at "..."].

AMS categories

• ams-68
• ams-81

Choose either option

• I plan on adding this conjecture to the repository
• This issue is up for grabs: I would like to see this conjecture added by somebody else

Start with ComparatorChallenges/G_QuantumParallelRepetition.lean at the linked immutable commit and compare its statement template with the official article and paper. Add the finite two-player-game conjecture to Formal Conjectures as @[category research solved], referencing the external Lean proof with the provided formal_proof annotation; done means the repository accepts the new statement and its categories are included.