Asymmetric Quantum Codes on Toric Surfaces

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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.
Original languageEnglish
JournalarXiv
Publication statusPublished - 9 Aug 2017

Bibliographical note

9 pages

    Research areas

  • cs.CR, math.AG, quant-ph, 14M25, 11T71, 68P30

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