Exact Pauli-detecting codes form continuous connected families in a variance geometry parameterized by λ* from Knill-Laflamme conditions, with stabilizer codes occupying only discrete measure-zero subsets.
LetTbe the cyclic shift, T|b 1b2b3⟩=|b 3b1b2⟩,(119) and letH 0 be the +1 eigenspace ofT
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Variance Geometry of Exact Pauli-Detecting Codes: Continuous Landscapes Beyond Stabilizers
Exact Pauli-detecting codes form continuous connected families in a variance geometry parameterized by λ* from Knill-Laflamme conditions, with stabilizer codes occupying only discrete measure-zero subsets.