A complete classification of 2d symmetry protected states with symmetric entanglers
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914383267889152 |
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| author | Bols, Alex De Roeck, Wojciech De Wilde, Michiel Carvalho, Bruno de O. |
| author_facet | Bols, Alex De Roeck, Wojciech De Wilde, Michiel Carvalho, Bruno de O. |
| contents | We consider symmetry protected topological states of 2d quantum spin systems, with a finite symmetry group $G$. It has been conjectured that such states are classified by the cohomology group $H^3(G,U(1))$, but the completeness of this classfication is an open problem. We restrict ourselves to symmetry protected topological states that can be prepared from a product state by a symmetric entangler. For this class of states, we prove that the classification by $H^3(G,U(1))$ is complete. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09959 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A complete classification of 2d symmetry protected states with symmetric entanglers Bols, Alex De Roeck, Wojciech De Wilde, Michiel Carvalho, Bruno de O. Mathematical Physics Quantum Physics We consider symmetry protected topological states of 2d quantum spin systems, with a finite symmetry group $G$. It has been conjectured that such states are classified by the cohomology group $H^3(G,U(1))$, but the completeness of this classfication is an open problem. We restrict ourselves to symmetry protected topological states that can be prepared from a product state by a symmetric entangler. For this class of states, we prove that the classification by $H^3(G,U(1))$ is complete. |
| title | A complete classification of 2d symmetry protected states with symmetric entanglers |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2603.09959 |