Corpus ID: 235795135

From Generalization of Bacon-Shor Codes to High Performance Quantum LDPC Codes

@article{Fan2021FromGO,
  title={From Generalization of Bacon-Shor Codes to High Performance Quantum LDPC Codes},
  author={Jihao Fan and Jun Li and Ya Wang and Yonghui Li and Min-Hsiu Hsieh and Jiangfeng Du},
  journal={ArXiv},
  year={2021},
  volume={abs/2107.05174}
}
  • Jihao Fan, Jun Li, +3 authors Jiangfeng Du
  • Published 2021
  • Computer Science, Physics, Mathematics
  • ArXiv
We utilize a concatenation scheme to construct new families of quantum error correction codes that include the Bacon-Shor codes. We show that our scheme can lead to asymptotically good quantum codes while Bacon-Shor codes cannot. Further, the concatenation scheme allows us to derive quantum LDPC codes of distance Ω(N2/3/ log logN) which can improve Hastings’s recent result [arXiv:2102.10030] by a polylogarithmic factor. Moreover, assisted by the Evra-KaufmanZémor distance balancing construction… Expand

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