Quantum computing, despite its potential to outperform classical systems in certain tasks, faces a significant challenge: error correction. Quantum systems are highly sensitive to noise, and even the smallest environmental disturbance can lead to computation errors, affecting the expected outcomes. Unlike classical systems, which can use redundancy through multiple bits to handle errors, quantum error correction is far more complex due to the nature of qubits and their susceptibility to errors like cross-talk and leakage. To achieve practical fault-tolerant quantum computing, error rates must be minimized to levels far below the current capabilities of quantum hardware. This remains one of