OAI/Analysis/MutuallyUnbiased/PairMoments/PairAverage.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.MUB6.injectiveMoment_emptyline 11 - theorem
OAI.MUB6.averagedRowProducts_eq_pairAverageline 27Source documentation
A uniform injection of all six row indices is a uniform permutation. This identifies the general partition theorem with the paper's pair average.
theorem averagedRowProducts_eq_pairAverage {n : ℕ} (H : CMatrix) (A : Matrix Coord (Fin n) ℤ) : averagedRowProducts H A = pairAverage H (fun K => (∏ j, g K (fun i => A i j)).re) := by …Mentions: OAI.MUB6.CMatrix, OAI.MUB6.Coord, OAI.MUB6.averagedRowProducts, OAI.MUB6.pairAverage, OAI.MUB6.g
- theorem
OAI.MUB6.pairAverage_products_partitionline 40