<p>A long-standing challenge in quantum computing is developing technologies to overcome the inevitable noise in qubits. To enable meaningful applications in the early stages of fault-tolerant quantum computing, devising methods to suppress post-correction logical failures is becoming increasingly crucial. In this work, we propose and experimentally demonstrate the application of zero-noise extrapolation, a practical quantum error mitigation technique, to error correction circuits on superconducting processors. By amplifying the noise on physical qubits, the circuits yield outcomes that exhibit a predictable dependence on noise strength, following a polynomial function determined by the code distance. This property enables the effective application of polynomial extrapolation to mitigate logical errors. Our experiments demonstrate a universal reduction in logical errors across various quantum circuits, including fault-tolerant circuits of repetition and surface codes. We observe a favorable performance in multi-round error correction circuits, indicating that this method remains effective when the circuit depth increases. These results advance the frontier of quantum error suppression technologies, opening a practical way to achieve reliable quantum computing in the early fault-tolerant era.</p>

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Demonstrating quantum error mitigation on logical qubits

  • Aosai Zhang,
  • Haipeng Xie,
  • Yu Gao,
  • Jia-Nan Yang,
  • Zehang Bao,
  • Zitian Zhu,
  • Jiachen Chen,
  • Ning Wang,
  • Chuanyu Zhang,
  • Jiarun Zhong,
  • Shibo Xu,
  • Ke Wang,
  • Yaozu Wu,
  • Feitong Jin,
  • Xuhao Zhu,
  • Yiren Zou,
  • Ziqi Tan,
  • Zhengyi Cui,
  • Fanhao Shen,
  • Tingting Li,
  • Yihang Han,
  • Yiyang He,
  • Gongyu Liu,
  • Jiayuan Shen,
  • Han Wang,
  • Yanzhe Wang,
  • Hang Dong,
  • Jinfeng Deng,
  • Hekang Li,
  • Zhen Wang,
  • Chao Song,
  • Qiujiang Guo,
  • Pengfei Zhang,
  • Ying Li,
  • H. Wang

摘要

A long-standing challenge in quantum computing is developing technologies to overcome the inevitable noise in qubits. To enable meaningful applications in the early stages of fault-tolerant quantum computing, devising methods to suppress post-correction logical failures is becoming increasingly crucial. In this work, we propose and experimentally demonstrate the application of zero-noise extrapolation, a practical quantum error mitigation technique, to error correction circuits on superconducting processors. By amplifying the noise on physical qubits, the circuits yield outcomes that exhibit a predictable dependence on noise strength, following a polynomial function determined by the code distance. This property enables the effective application of polynomial extrapolation to mitigate logical errors. Our experiments demonstrate a universal reduction in logical errors across various quantum circuits, including fault-tolerant circuits of repetition and surface codes. We observe a favorable performance in multi-round error correction circuits, indicating that this method remains effective when the circuit depth increases. These results advance the frontier of quantum error suppression technologies, opening a practical way to achieve reliable quantum computing in the early fault-tolerant era.