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arXiv · 2603.10501

Quantum cellular automata are a coarse homology theory

Matthias Ludewig
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Abstract

We show that quantum cellular automata naturally form the degree-zero part of a coarse homology theory. The recent result of Ji and Yang that the space of QCA forms an Omega-spectrum in the sense of algebraic topology is a direct consequence of the formal properties of coarse homology theories.

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Matthias Ludewig. 2026-03-11. Quantum cellular automata are a coarse homology theory. https://arxiv.org/abs/2603.10501

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