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def definition def or abbrev

steaneCode

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formal statement (Lean)

 151def steaneCode : CSSCode := {

proof body

Definition body.

 152  c1 := { n := 7, k := 4, d := 3, k_le_n := by norm_num, d_pos := by norm_num },
 153  c2 := { n := 7, k := 3, d := 4, k_le_n := by norm_num, d_pos := by norm_num },
 154  containment := by norm_num
 155}
 156
 157/-! ## The 8-Tick Connection -/
 158
 159/-- The 8-tick phases naturally encode redundancy:
 160
 161    Phase k ↦ e^{ikπ/4} for k = 0, 1, ..., 7
 162
 163    A Z error adds π to the phase (shifts by 4 ticks).
 164    An X error cycles through phases differently.
 165
 166    The 8-fold structure provides natural syndrome detection. -/

depends on (18)

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