An asymptotically good qubit CSS code family with constant rate and distance and transversally addressable logical CCZ gates is claimed, built from Stichtenoth's transitive iso-orthogonal algebraic geometry codes.
Good quantum error-correcting codes exist
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Asymptotically Good Quantum Codes with Addressable and Transversal Non-Clifford Gates
An asymptotically good qubit CSS code family with constant rate and distance and transversally addressable logical CCZ gates is claimed, built from Stichtenoth's transitive iso-orthogonal algebraic geometry codes.