Generalized extended codes are shown to be monomially equivalent to certain Hermitian duals, with explicit criteria for controlling Hermitian hull dimension and dual distance, yielding 267 new EA qubit codes and 14 new EA qutrit codes with improved parameters.
Good quantum error-correcting codes exist
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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.
Extending affine subcode ensemble decoding to quantum codes with overcomplete matrices improves BP convergence and reduces logical error rates on toric and generalized bicycle codes.
citing papers explorer
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Generalized Extended Codes with Applications in Entanglement-Assisted Qubit and Qutrit Codes
Generalized extended codes are shown to be monomially equivalent to certain Hermitian duals, with explicit criteria for controlling Hermitian hull dimension and dual distance, yielding 267 new EA qubit codes and 14 new EA qutrit codes with improved parameters.
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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.
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Affine Subcode Ensemble Decoding for Degeneracy-Aware Quantum Error Correction
Extending affine subcode ensemble decoding to quantum codes with overcomplete matrices improves BP convergence and reduces logical error rates on toric and generalized bicycle codes.