1. Triorthogonal codes and self-dual codes.
- Author
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Shi, Minjia, Lu, Haodong, Kim, Jon-Lark, and Solé, Patrick
- Subjects
- *
QUANTUM information theory , *TWO-dimensional bar codes , *BINARY codes , *DISTILLATION , *MATRICES (Mathematics) , *MAGIC - Abstract
Triorthogonal matrices were introduced in quantum information theory in connection with distillation of magic states (Bravyi and Haah in Phys Rev A 86:052329, 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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