Gravitational topological responses are shown to appear as the projective phase (ST)^3=Y in gauging/stacking relations, corresponding on the lattice to nontrivial QCAs implementable via finite-depth circuits, measurements, and error correction.
Exact bosonization in two spatial dimensions and a new class of lattice gauge theories,
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Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations
Gravitational topological responses are shown to appear as the projective phase (ST)^3=Y in gauging/stacking relations, corresponding on the lattice to nontrivial QCAs implementable via finite-depth circuits, measurements, and error correction.