Quantum subsystem codes, CFTs and their $\mathbb{Z}_2$-gaugings
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915031939022848 |
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| author | Ando, Keiichi Kawabata, Kohki Nishioka, Tatsuma |
| author_facet | Ando, Keiichi Kawabata, Kohki Nishioka, Tatsuma |
| contents | We construct Narain conformal field theories (CFTs) from quantum subsystem codes, a more comprehensive class of quantum error-correcting codes than quantum stabilizer codes, for qudit systems of prime dimensions. The resulting code CFTs exhibit a global $\mathbb{Z}_2$ symmetry, enabling us to perform the $\mathbb{Z}_2$-gauging to derive their orbifolded and fermionized theories when the symmetry is non-anomalous. We classify a subset of these subsystem code CFTs using weighted oriented graphs and enumerate those with small central charges. Consequently, we identify several bosonic code CFTs self-dual under the $\mathbb{Z}_2$-orbifold, new supersymmetric code CFTs, and a few fermionic code CFTs with spontaneously broken supersymmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18145 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum subsystem codes, CFTs and their $\mathbb{Z}_2$-gaugings Ando, Keiichi Kawabata, Kohki Nishioka, Tatsuma High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons Quantum Physics We construct Narain conformal field theories (CFTs) from quantum subsystem codes, a more comprehensive class of quantum error-correcting codes than quantum stabilizer codes, for qudit systems of prime dimensions. The resulting code CFTs exhibit a global $\mathbb{Z}_2$ symmetry, enabling us to perform the $\mathbb{Z}_2$-gauging to derive their orbifolded and fermionized theories when the symmetry is non-anomalous. We classify a subset of these subsystem code CFTs using weighted oriented graphs and enumerate those with small central charges. Consequently, we identify several bosonic code CFTs self-dual under the $\mathbb{Z}_2$-orbifold, new supersymmetric code CFTs, and a few fermionic code CFTs with spontaneously broken supersymmetry. |
| title | Quantum subsystem codes, CFTs and their $\mathbb{Z}_2$-gaugings |
| topic | High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2405.18145 |