Application of Classical Codes over GF(4) on Quantum Error Correction Codes

摘要

This research studies the construction of classical linear code over Galois field 4. This classical code is self-orthogonal with Hermitian product. In addition, quantum stabilizer codes are investigated from the classical codes. Finally, quantum stabilizer codes, which are able to correct one error and detect two errors in quantum information channel, have been explained in detail to show the practicality of this construction.