A review: On special type of quantum error correcting codes
Umesh Uttamrao Shinde, Ankur Singh · Discrete Mathematics Algorithms and Applications · 2025
Quantum synchronizable codes (in short QSCs) are a special type of quantum error correcting codes (ECCs) which are useful to correct bit error, phase error, and misalignment in the block of synchronization. In this review paper, two classes of cyclic codes are converted into classes of QSCs. The QSCs with the greatest resistance to misalignment are Calderbank–Shor–Steane QECCs. Quantum information necessitates error correction, and quantum technologies are employed for safe communication, machine learning, and chemical analysis. Due to the non-cloning theorem, decoherence and the difficulty of measuring quantum states, quantum information processing is more challenging than classical information processing. Due to the high frequency of faults, a quantum computer needs an error detection and correction mechanism. To identify quantum information unit bounds in the absence of block synchronization, quantum information boundaries must be located using coding theory in quantum computing and communication systems and this prevents decoherence and correct errors while synchronizing qubits. Also, this method generates synchronizable and error-correcting quantum codes.