• DOI:10.1038/s41534-021-00429-8
• Corpus ID: 222090777

Avoiding coherent errors with rotated concatenated stabilizer codes

@article{Ouyang2020AvoidingCE,
  title={Avoiding coherent errors with rotated concatenated stabilizer codes},
  author={Yingkai Ouyang},
  journal={npj Quantum Information},
  year={2020},
  volume={7},
  pages={1-7}
}

• Yingkai Ouyang
• Published 1 October 2020
• Computer Science, Physics
• npj Quantum Information

Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors. Here, we propose integrating stabilizer codes with constant-excitation codes by code concatenation. Namely, by concatenating an [[ n ,  k ,  d ]] stabilizer outer code with dual-rail inner codes, we obtain a [[2 n ,  k ,  d ]] constant-excitation code immune from coherent phase errors and also equivalent to a Pauli-rotated stabilizer code. When the stabilizer outer code is fault-tolerant, the constant-excitation code has a positive fault-tolerant threshold against stochastic errors. Setting the outer code as a four-qubit amplitude damping code yields an eight-qubit constant-excitation code that corrects a single amplitude damping error, and we analyze this code’s potential as a quantum memory.