Pauli stabilizer codes are classified via algebraic L-theory, yielding a bulk-boundary map to Clifford QCAs and a structural comparison with continuum framed TQFTs.
Hermitian k-theory for stable infinity-categories ii: cobordism categories and additivity
3 Pith papers cite this work. Polarity classification is still indexing.
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A new fibre sequence relates classical Grothendieck-Witt groups to K-theory orbits and symmetric L-theory, enabling removal of the 2-unit assumption and resolution of multiple open problems for Dedekind rings and number rings.
The paper proves that the real K-theory genuine C₂-spectra defined by Calmès et al. for Poincaré ∞-categories coincide with those defined by the authors for Waldhausen ∞-categories with genuine duality.
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The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise
Pauli stabilizer codes are classified via algebraic L-theory, yielding a bulk-boundary map to Clifford QCAs and a structural comparison with continuum framed TQFTs.
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Hermitian K-theory for stable $\infty$-categories III: Grothendieck-Witt groups of rings
A new fibre sequence relates classical Grothendieck-Witt groups to K-theory orbits and symmetric L-theory, enabling removal of the 2-unit assumption and resolution of multiple open problems for Dedekind rings and number rings.
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An equivalence between two frameworks for real algebraic K-theory
The paper proves that the real K-theory genuine C₂-spectra defined by Calmès et al. for Poincaré ∞-categories coincide with those defined by the authors for Waldhausen ∞-categories with genuine duality.