Extending existing quantum error correction codes now requires adding only n’’ physical qubits to an initial [[n’,k’]] structure, creating an [[n,k]] code where n = n’+n’’. This “appending construction” circumvents previous limitations restricting transversal Z-rotations to single-qubit and controlled-Z operations alone. Consequently, diverse sets of diagonal gates become realisable without extensive code switching beyond Hadamard implementations.
