Catalytic Quantum Error Correction

@article{Brun2014CatalyticQE,
  title={Catalytic Quantum Error Correction},
  author={T. Brun and I. Devetak and Min-Hsiu Hsieh},
  journal={IEEE Transactions on Information Theory},
  year={2014},
  volume={60},
  pages={3073-3089}
}
We develop the theory of entanglement-assisted quantum error-correcting (EAQEC) codes, a generalization of the stabilizer formalism to the setting in which the sender and receiver have access to preshared entanglement. Conventional stabilizer codes are equivalent to self-orthogonal symplectic codes. In contrast, EAQEC codes do not require self-orthogonality, which greatly simplifies their construction. We show how any classical binary or quaternary block code can be made into an EAQEC code. We… Expand
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