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<p>Fault-tolerant quantum computation enables reliable quantum computation but incurs a significant overhead from both time and resource perspectives. To reduce computation time, Austin G. Fowler proposed time-optimal quantum computation by constructing a quantum circuit for a fault-tolerant <i>T</i> gate without probabilistic <i>S</i> gate correction. In this work, we introduce a resource-compact quantum circuit that significantly reduces resource requirements by more than 60% for a fault-tolerant <i>T</i> gate without probabilistic <i>S</i> gate correction. Consequently, we present a quantum circuit that minimizes resource utilization for time-optimal quantum computation, demonstrating efficient time-optimal quantum computation. Additionally, we describe an efficient form involving initialization, <i>CNOT</i>s, and measurements, laying the foundation for the development of an efficient compiler for fault-tolerant quantum computation.</p>

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Resource-compact time-optimal quantum computation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月23日

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  • Taewan Kim,
  • Kyunghyun Baek,
  • Yongsoo Hwang,
  • Jeongho Bang

摘要

Fault-tolerant quantum computation enables reliable quantum computation but incurs a significant overhead from both time and resource perspectives. To reduce computation time, Austin G. Fowler proposed time-optimal quantum computation by constructing a quantum circuit for a fault-tolerant T gate without probabilistic S gate correction. In this work, we introduce a resource-compact quantum circuit that significantly reduces resource requirements by more than 60% for a fault-tolerant T gate without probabilistic S gate correction. Consequently, we present a quantum circuit that minimizes resource utilization for time-optimal quantum computation, demonstrating efficient time-optimal quantum computation. Additionally, we describe an efficient form involving initialization, CNOTs, and measurements, laying the foundation for the development of an efficient compiler for fault-tolerant quantum computation.