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arXiv · 2408.09685

Triorthogonal Codes and Self-dual Codes

Minjia Shi·Haodong Lu·Jon-Lark Kim·Patrick Sole
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Abstract

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.

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Minjia Shi, Haodong Lu, Jon-Lark Kim, Patrick Sole. 2024-08-19. Triorthogonal Codes and Self-dual Codes. https://arxiv.org/abs/2408.09685

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