Scholarlink

<p>The surface code family is a promising approach to implementing fault-tolerant quantum computations. Universal fault-tolerance requires error-corrected non-Clifford operations, in addition to Clifford gates, and for the former, it is imperative to experimentally demonstrate additional resources known as magic states. Another challenge is to efficiently embed surface codes into quantum hardware with connectivity constraints. This work simultaneously addresses both challenges by employing a qubit-efficient rotated heavy-hexagonal surface code for IBM quantum processors (<Emphasis FontCategory="NonProportional">ibm_fez</Emphasis>) and implementing the magic state injection protocol. Our work reports error thresholds for both logical bit- and phase-flip errors, of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\approx 0.37\%\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\approx 0.31\%\)</EquationSource> </InlineEquation>, respectively, which are higher than the threshold values previously reported with traditional embedding. The post-selection-based preparation of logical magic states <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(|H_L\rangle\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(|T_L\rangle\)</EquationSource> </InlineEquation> achieve fidelities of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(0.8806\pm 0.0002\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(0.8665\pm 0.0003\)</EquationSource> </InlineEquation>, respectively, which are both above the magic state distillation threshold. The post-selection process yields an average success rate of <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(36.28 \pm 0.09\%\)</EquationSource> </InlineEquation>. Additionally, we report the minimum fidelity among injected arbitrary single logical qubit states as <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(0.8356\pm 0.0003\)</EquationSource> </InlineEquation>. Our work demonstrates the potential for realising non-Clifford logical gates by producing high-fidelity logical magic states on IBM quantum devices.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Magic state injection on IBM quantum processors above the distillation threshold

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年2月26日

查看全文
  • Younghun Kim,
  • Martin Sevior,
  • Muhammad Usman

摘要

The surface code family is a promising approach to implementing fault-tolerant quantum computations. Universal fault-tolerance requires error-corrected non-Clifford operations, in addition to Clifford gates, and for the former, it is imperative to experimentally demonstrate additional resources known as magic states. Another challenge is to efficiently embed surface codes into quantum hardware with connectivity constraints. This work simultaneously addresses both challenges by employing a qubit-efficient rotated heavy-hexagonal surface code for IBM quantum processors (ibm_fez) and implementing the magic state injection protocol. Our work reports error thresholds for both logical bit- and phase-flip errors, of \(\approx 0.37\%\) and \(\approx 0.31\%\) , respectively, which are higher than the threshold values previously reported with traditional embedding. The post-selection-based preparation of logical magic states \(|H_L\rangle\) and \(|T_L\rangle\) achieve fidelities of \(0.8806\pm 0.0002\) and \(0.8665\pm 0.0003\) , respectively, which are both above the magic state distillation threshold. The post-selection process yields an average success rate of \(36.28 \pm 0.09\%\) . Additionally, we report the minimum fidelity among injected arbitrary single logical qubit states as \(0.8356\pm 0.0003\) . Our work demonstrates the potential for realising non-Clifford logical gates by producing high-fidelity logical magic states on IBM quantum devices.