Study 12 Quantum Parallel Repetition Corpus

Study 12 — Corpus: CHSH integer payoff table

Status: CORPUS SEALED — 2026-08-22
Charter: Study 12 · Results: Results

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Game pin

CHSH is the bipartite game with inputs (x,y\in{0,1}) and outputs (a,b\in{0,1}).

Win rule (exact integer): (a \oplus b = x \land y).

There are 4 deterministic functions for Alice and 4 for Bob (16 strategy pairs). The maximum classical win fraction over the 4 input pairs is 3/4.

Object	Integer statement
Inputs	({0,1}\times{0,1})
Outputs	({0,1}\times{0,1})
Classical ceiling	(3/4)
Parallel copies graded	(n \in {1,2,4,8})
Discrete transition	win_num (\times 3), win_den (\times 4) per round

No complex amplitude appears in this corpus.

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Machine ledger

Artifact	Path
Grade script	corpus/study-12/study12_grade.py
Sealed ledger JSON	corpus/study-12/study12_ledger.json
Transition schema	corpus/peer-review-conjecture/schemas/vqbit_bipartite_transition.json

python3 corpus/study-12/study12_grade.py

Expected summary: primary_win: 4, primary_total: 4, adversary_miss: 4.

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Gaps (VOID)

Slot	Reason
Magic Square / other published games	Prospective registry OPEN — CHSH is the sealed pin
Quantum (non-classical) strategy table	Not this seal; this seal grades the classical bound as a discrete product