Binary Triorthogonal and CSS-T Codes for Quantum Error Correction
<|reference_start|>Binary Triorthogonal and CSS-T Codes for Quantum Error Correction: In this paper, we study binary triorthogonal codes and their relation to CSS-T quantum codes. We characterize the binary triorthogonal codes that are minimal or maximal with respect to the CSS-T poset, and we also study how to derive new triorthogonal matrices from existing ones. Given a binary triorthogonal matrix, we characterize which of its equivalent matrices are also triorthogonal. As a consequence, we show that a binary triorthogonal matrix uniquely determines the parameters of the corresponding triorthogonal quantum code, meaning that any other equivalent matrix that is also triorthogonal gives rise to a triorthogonal quantum code with the same parameters.<|reference_end|>
@article{camps-moreno2024binary,
    title={Binary Triorthogonal and CSS-T Codes for Quantum Error Correction},
    author={Eduardo Camps-Moreno, Hiram H. L'opez, Gretchen L. Matthews, Diego
  Ruano, Rodrigo San-Jos'e and Ivan Soprunov},
    journal={arXiv preprint arXiv:2408.02916},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.02916},
    primaryClass={cs.IT math.IT}
}