Scholarlink

<p>Central charge is a fundamental quantity in conformal field theories (CFT), and plays a crucial role in determining universality classes of critical points in two-dimensional systems. Despite its significance, the measurement of central charge has remained elusive thus far. In this work, we present the experimental determination of the central charge using a universal quantum processor. Using a classically optimized variational quantum circuit and employing advanced error mitigation techniques, we successfully prepare ground states of various 1&#xa0;+&#xa0;1<i>D</i> quantum spin chain models at their critical point. Leveraging the heavy-hex structure of IBM quantum processors, we are able to implement periodic boundary conditions and mitigate boundary effects. We then extract the central charge from the scaling behavior of the sub-leading term of Rényi generalizations of classical Shannon entropy, computed for local Pauli measurements in the conformal bases (<i>σ</i><sup><i>z</i></sup> and <i>σ</i><sup><i>x</i></sup>). The experimental results are consistent with the known central charge values for the transverse field Ising (TFI) chain (<i>c</i>&#xa0;=&#xa0;0.5) and the XXZ chain (<i>c</i>&#xa0;=&#xa0;1), achieving relative errors as low as 5 percent.</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

Measuring central charge on a universal quantum processor

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年1月8日

查看全文
  • Nazlı Uğur Köylüoğlu,
  • Swarnadeep Majumder,
  • Mirko Amico,
  • Sarah Mostame,
  • Ewout van den Berg,
  • M. A. Rajabpour,
  • Zlatko Minev,
  • Khadijeh Najafi

摘要

Central charge is a fundamental quantity in conformal field theories (CFT), and plays a crucial role in determining universality classes of critical points in two-dimensional systems. Despite its significance, the measurement of central charge has remained elusive thus far. In this work, we present the experimental determination of the central charge using a universal quantum processor. Using a classically optimized variational quantum circuit and employing advanced error mitigation techniques, we successfully prepare ground states of various 1 + 1D quantum spin chain models at their critical point. Leveraging the heavy-hex structure of IBM quantum processors, we are able to implement periodic boundary conditions and mitigate boundary effects. We then extract the central charge from the scaling behavior of the sub-leading term of Rényi generalizations of classical Shannon entropy, computed for local Pauli measurements in the conformal bases (σz and σx). The experimental results are consistent with the known central charge values for the transverse field Ising (TFI) chain (c = 0.5) and the XXZ chain (c = 1), achieving relative errors as low as 5 percent.