A Sparse $Z_2$ Chain Complex Without a Sparse Lift
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908567937744896 |
|---|---|
| author | Hastings, Matthew B. |
| author_facet | Hastings, Matthew B. |
| contents | We construct a sparse $Z_2$ chain complex (with three different degrees, so that it corresponds to a quantum code) which does not admit a sparse lift to the integers, answering a question in Ref. 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22998 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Sparse $Z_2$ Chain Complex Without a Sparse Lift Hastings, Matthew B. Quantum Physics Geometric Topology We construct a sparse $Z_2$ chain complex (with three different degrees, so that it corresponds to a quantum code) which does not admit a sparse lift to the integers, answering a question in Ref. 1. |
| title | A Sparse $Z_2$ Chain Complex Without a Sparse Lift |
| topic | Quantum Physics Geometric Topology |
| url | https://arxiv.org/abs/2509.22998 |