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.
Thus, already at n= 3, the difference between symmetry-compatible and externally imposed symmetry constraints is visible at the level of the scalar signature spectrum
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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.