  To achieve fault-tolerant and secure cloud quantum computing, integrating
quantum error correction codes and quantum homomorphic encryption schemes is
essential. However, significant overhead challenges incurred in these schemes
necessitate their efficiency. This study developed an efficient quantum
homomorphic encryption based on quantum error correction codes. The proposed
encryption scheme used a single encoding process to accomplish encryption and
encoding. Using a longer quantum error-correcting code simultaneously improved
the security and error correction capabilities. Based on the permutation key,
the number of combinations exhibited an exponential growth of $n^n$ compared
with the conventional order of $2^n$.
