Triorthogonal Codes and Self-dual Codes
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913471276253184 |
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| author | Shi, Minjia Lu, Haodong Kim, Jon-Lark Sole, Patrick |
| author_facet | Shi, Minjia Lu, Haodong Kim, Jon-Lark Sole, Patrick |
| contents | Triorthogonal matrices were introduced in Quantum Information Theory in connection with distillation of magic states (Bravyi and Haah (2012)). We give an algorithm to construct binary triorthogonal matrices from binary self-dual codes. Further, we generalize to this setting the classical coding techniques of shortening and extending. We also give some simple propagation rules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09685 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Triorthogonal Codes and Self-dual Codes Shi, Minjia Lu, Haodong Kim, Jon-Lark Sole, Patrick Information Theory Quantum Physics 94B05 Triorthogonal matrices were introduced in Quantum Information Theory in connection with distillation of magic states (Bravyi and Haah (2012)). We give an algorithm to construct binary triorthogonal matrices from binary self-dual codes. Further, we generalize to this setting the classical coding techniques of shortening and extending. We also give some simple propagation rules. |
| title | Triorthogonal Codes and Self-dual Codes |
| topic | Information Theory Quantum Physics 94B05 |
| url | https://arxiv.org/abs/2408.09685 |