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Asymmetric Quantum Codes on Toric Surfaces

Cryptography and Security 2017-08-10 v1 Algebraic Geometry Quantum Physics

Abstract

Asymmetric quantum error-correcting codes are quantum codes defined over biased quantum channels: qubit-flip and phase-shift errors may have equal or different probabilities. The code construction is the Calderbank-Shor-Steane construction based on two linear codes. We present families of toric surfaces, toric codes and associated asymmetric quantum error-correcting codes.

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Cite

@article{arxiv.1708.02921,
  title  = {Asymmetric Quantum Codes on Toric Surfaces},
  author = {Johan P. Hansen},
  journal= {arXiv preprint arXiv:1708.02921},
  year   = {2017}
}

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9 pages