Quantum information & codes

Error-correcting code words as automorphic forms on a curved phase space

One paper on this subject

  1. 2026 Bosonic Codes from Compact Phase Spaces The GKP code lives on a torus of phase space, with displacements as its stabilizers. Bend that phase space into a hyperbolic surface and the stabilizers become squeezing operators, the code words become automorphic forms, and the logical gates become any finite group you care to name. The same curvature then takes the code states away — not approximately, exactly.

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