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Quantum Error Correction Fault Tolerance Entanglement Theory Quantum Correlations

Entanglement-assisted Quantum Codes from Cyclic Codes

arXiv
Authors: Francisco Revson F. Pereira

Year

2019

Paper ID

14784

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

Entanglement-assisted quantum (QUENTA) codes are a subclass of quantum error-correcting codes which use entanglement as a resource. These codes can provide error correction capability higher than the codes derived from the traditional stabilizer formalism. In this paper, it is shown a general method to construct QUENTA codes from cyclic codes. Afterwards, the method is applied to Reed-Solomon codes, BCH codes, and general cyclic codes. We use the Euclidean and Hermitian construction of QUENTA codes. Two families of QUENTA codes are maximal distance separable (MDS), and one is almost MDS or almost near MDS. The comparison of the codes in this paper is mostly based on the quantum Singleton bound.

Why This Paper Matters

  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
  • It adds a 2019 reference point for readers tracking recent quantum research.
  • Entanglement-assisted quantum (QUENTA) codes are a subclass of quantum error-correcting codes which use entanglement as a resource.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1911.06384 [2] arXiv https://arxiv.org/abs/1911.06384 [3] Publisher https://arxiv.org/abs/1911.06384

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