Constructive Conjugate Codes for Quantum Error Correction and Cryptography
<|reference_start|>Constructive Conjugate Codes for Quantum Error Correction and Cryptography: A conjugate code pair is defined as a pair of linear codes either of which contains the dual of the other. A conjugate code pair represents the essential structure of the corresponding Calderbank-Shor-Steane (CSS) quantum error-correcting code. It is known that conjugate code pairs are applicable to quantum cryptography. In this work, a polynomial construction of conjugate code pairs is presented. The constructed pairs achieve the highest known achievable rate on additive channels, and are decodable with algorithms of polynomial complexity.<|reference_end|>
@article{hamada2007constructive,
    title={Constructive Conjugate Codes for Quantum Error Correction and
  Cryptography},
    author={Mitsuru Hamada},
    journal={arXiv preprint arXiv:cs/0703141},
    year={2007},
    archivePrefix={arXiv},
    eprint={cs/0703141},
    primaryClass={cs.IT math.IT}
}