The fault-tolerant compilation approach proposed for IQP circuits can be extended to other types of classically hard quantum circuits by adapting the encoding and gate sets to suit the specific requirements of those circuits. For circuits that involve non-Clifford gates or different types of entangling operations, the error-correcting codes and logical operations would need to be tailored accordingly. By co-designing the circuits with appropriate error-correcting codes and implementing fault-tolerant techniques such as error detection and correction, it is possible to extend the fault-tolerant compilation approach to a wide range of classically hard quantum circuits. This approach ensures that the quantum algorithms can be executed with high fidelity and reliability, even in the presence of noise and imperfections.