Fault-Tolerant Syndrome Extraction and Cat State Preparation with Fewer Qubits

@inproceedings{Prabhu2021FaultTolerantSE,
  title={Fault-Tolerant Syndrome Extraction and Cat State Preparation with Fewer Qubits},
  author={Prithviraj Prabhu and Ben Reichardt},
  booktitle={TQC},
  year={2021}
}
We reduce the extra qubits needed for two fault-tolerant quantum computing protocols: error correction, specifically syndrome bit measurement, and cat state preparation. For fault-tolerant syndrome extraction, we show an exponential reduction in qubit overhead over the previous best protocol. For a weight-w stabilizer, we demonstrate that stabilizer measurement tolerating one fault (distance-three) needs at most ⌈log2 w⌉ + 1 ancillas. If qubits reset quickly, four ancillas suffice. We also… Expand

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