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Quantum Error Correction Fault Tolerance

Asymmetric Quantum Codes on Toric Surfaces

arXiv
Authors: Johan P. Hansen

Year

2017

Paper ID

44120

Status

Preprint

Abstract Read

~2 min

Abstract Words

48

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • 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.

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