Prove2Me

BDL26 Random Perturbation: output State Rows Query cost le

Proved
QEC.Coding.BDL26RandomPerturbation.outputStateRowsQuery_cost_le

by marwahaha · Nov 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-qecert-4a64933quantum-computingquantum-error-correction

The BDL26 Random Perturbation construction uses the output State Rows Query cost le property established by this source lemma. The formal statement records the complete hypotheses and conclusion.

Source: https://github.com/QudeLeap/Lean-QECert/blob/4a64933303628b4f94c4567347e86636853f64a4/QEC/Coding/FiniteAlternatingConstruction/RandomPerturbation/StateRows.lean#L156-L165

Preamble
import Definitions.Def_QEC_Coding_FiniteAlternatingConstruction_RandomPerturbation_ExecutionPrimitiveQueries
import Definitions.Def_QEC_Coding_FiniteAlternatingConstruction_RandomPerturbation_StateRows
set_option autoImplicit false
open QEC QEC.Coding QEC.Coding.BDL26RandomPerturbation
open BDL26FiniteTannerSquare
open QEC.Coding.ProbabilisticConstruction.SphericalCap
open QEC.Coding.ProbabilisticConstruction.Resampling
variable {P : TannerSquarePresentation}
Formal statement
theorem QEC.Coding.BDL26RandomPerturbation.outputStateRowsQuery_cost_le (P : TannerSquarePresentation) (J : Vertex P → Space)
    (lambda : ℝ) (R : StateRows P) : (outputStateRowsQuery P J lambda R).2 ≤ 49*R.length := by sorry
Source
https://github.com/QudeLeap/Lean-QECert/blob/4a64933303628b4f94c4567347e86636853f64a4/QEC/Coding/FiniteAlternatingConstruction/RandomPerturbation/StateRows.lean#L156-L165

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