Quantum cellular automata are a coarse homology theory
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908913697292288 |
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| author | Ludewig, Matthias |
| author_facet | Ludewig, Matthias |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10501 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum cellular automata are a coarse homology theory Ludewig, Matthias K-Theory and Homology Mathematical Physics Geometric Topology Metric Geometry 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. |
| title | Quantum cellular automata are a coarse homology theory |
| topic | K-Theory and Homology Mathematical Physics Geometric Topology Metric Geometry |
| url | https://arxiv.org/abs/2603.10501 |