Develops K-theoretic obstruction theory for linearizing QCA representations over arbitrary fields, extracting universal classes and computing homotopy types over point/line/plane in the complex unitary case.
Categorifying Clifford QCA
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
years
2026 3verdicts
UNVERDICTED 3roles
background 1polarities
background 1representative citing papers
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.
Provides two sets of conditions on GQCAs guaranteeing thermalization to infinite temperature via a quantum many-body generalization of the Riemann-Lebesgue lemma for states with bounded density.
citing papers explorer
-
$K$-Theoretic Obstructions to Linearizing QCA Representations
Develops K-theoretic obstruction theory for linearizing QCA representations over arbitrary fields, extracting universal classes and computing homotopy types over point/line/plane in the complex unitary case.
-
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.
-
Thermalization with Gaussian Quantum Cellular Automata
Provides two sets of conditions on GQCAs guaranteeing thermalization to infinite temperature via a quantum many-body generalization of the Riemann-Lebesgue lemma for states with bounded density.