Clifford Code Constructions of Operator Quantum Error Correcting Codes
<|reference_start|>Clifford Code Constructions of Operator Quantum Error Correcting Codes: Recently, operator quantum error-correcting codes have been proposed to unify and generalize decoherence free subspaces, noiseless subsystems, and quantum error-correcting codes. This note introduces a natural construction of such codes in terms of Clifford codes, an elegant generalization of stabilizer codes due to Knill. Character-theoretic methods are used to derive a simple method to construct operator quantum error-correcting codes from any classical additive code over a finite field.<|reference_end|>
@article{klappenecker2006clifford,
    title={Clifford Code Constructions of Operator Quantum Error Correcting Codes},
    author={Andreas Klappenecker and Pradeep Kiran Sarvepalli},
    journal={arXiv preprint arXiv:quant-ph/0604161},
    year={2006},
    archivePrefix={arXiv},
    eprint={quant-ph/0604161},
    primaryClass={quant-ph cs.IT math.IT}
}