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quant-ph2026
Lattice moments and quantum designs
Jonathan Conrad, Kristian Holm
We show that the ensemble of unimodular GottesmanKitaevPreskill distributions fails to form a rigged quantum -design and quantify the replica defect that determines this f…
math.NT2026
Explicit second moments of symplectic Siegel transforms
Kristian Holm, Seungki Kim
We give two alternate formulations for the second moment formula of the Siegel transform over , previously establis…