An ILP method yields new triorthogonal codes with prescribed dual distance not necessarily from triply-even classical codes, and a GRAND-based decoder performs well on high-distance instances over dephasing.
Universal quantum computation with ideal Clifford gates and noisy ancillas,
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On Constructing and Decoding Quantum Triorthogonal Codes
An ILP method yields new triorthogonal codes with prescribed dual distance not necessarily from triply-even classical codes, and a GRAND-based decoder performs well on high-distance instances over dephasing.