Floquet Codes from Derived Semi-Regular Hyperbolic Tessellations on Orientable and Non-Orientable Surfaces
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908926631477248 |
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| author | Copatti, Douglas F. La Guardia, Giuliano G. Soares, Waldir S. Carvalho, Edson D. Silva, Eduardo B. |
| author_facet | Copatti, Douglas F. La Guardia, Giuliano G. Soares, Waldir S. Carvalho, Edson D. Silva, Eduardo B. |
| contents | In this paper, we construct several new quantum Floquet codes on compact, orientable, as well as non-orientable surfaces. In order to obtain such codes, we identify these surfaces with hyperbolic polygons and examine hyperbolic semi-regular tessellations on such surfaces. The method of construction presented here generalizes similar constructions concerning hyperbolic Floquet codes on connected and compact surfaces with genus $g \geq 2$. A performance analysis and an investigation of the asymptotic behavior of these codes are also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29811 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Floquet Codes from Derived Semi-Regular Hyperbolic Tessellations on Orientable and Non-Orientable Surfaces Copatti, Douglas F. La Guardia, Giuliano G. Soares, Waldir S. Carvalho, Edson D. Silva, Eduardo B. Quantum Physics Information Theory In this paper, we construct several new quantum Floquet codes on compact, orientable, as well as non-orientable surfaces. In order to obtain such codes, we identify these surfaces with hyperbolic polygons and examine hyperbolic semi-regular tessellations on such surfaces. The method of construction presented here generalizes similar constructions concerning hyperbolic Floquet codes on connected and compact surfaces with genus $g \geq 2$. A performance analysis and an investigation of the asymptotic behavior of these codes are also presented. |
| title | Floquet Codes from Derived Semi-Regular Hyperbolic Tessellations on Orientable and Non-Orientable Surfaces |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2603.29811 |