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formal statement (Lean)
141structure CSSCode where
142 c1 : ClassicalCode -- For bit-flip correction
143 c2 : ClassicalCode -- For phase-flip correction (via dual)
144 containment : c2.k ≤ c1.k -- C₂ ⊆ C₁
145
146/-- The Steane [[7,1,3]] code.
147
148 Based on the [7,4,3] Hamming code.
149 Encodes 1 logical qubit in 7 physical qubits.
150 Corrects any single-qubit error. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
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steaneCode
in IndisputableMonolith.Information.QuantumErrorCorrection
decl_use
depends on (6)
Lean names referenced from this declaration's body.
-
via
in IndisputableMonolith.Derivations.MassToLight
decl_use
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phase
in IndisputableMonolith.Foundation.EightTick
decl_use
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correction
in IndisputableMonolith.Information.QuantumChannelCapacityFromPhi
decl_use
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ClassicalCode
in IndisputableMonolith.Information.QuantumErrorCorrection
decl_use
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phase
in IndisputableMonolith.NumberTheory.RiemannHypothesis.Wedge
decl_use
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c1
in IndisputableMonolith.Physics.QCDRGE.MassAnomalousDimension
decl_use