Scholarlink

<p>The physical world is inherently out of equilibrium, and understanding the non-equilibrium behavior of quantum many-body systems remains a key open challenge in condensed matter physics. Recent advances in quantum computing platforms, such as Rydberg atoms and superconducting qubits, have opened promising avenues for studying non-equilibrium dynamics of many-particle systems using quantum simulators. In this work, we propose a benchmark scheme for validating the dynamical evolution outcomes of future large-scale qubit systems, which far exceeds the capability of classical numerical benchmark. Based on the <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <msub> <mi>J</mi> <mn>1</mn> </msub> <mo>−</mo> <msub> <mi>J</mi> <mn>2</mn> </msub> </math></EquationSource> <EquationSource Format="TEX">$J_{1}-J_{2}$</EquationSource> </InlineEquation> Heisenberg model, we provide tunable analytical results including quantum walk dynamics, the out-of-time-ordered correlator (OTOC), and the butterfly velocity. Furthermore, taking IBM’s programmable quantum platform as an example, we design a scheme for simulating quantum walk dynamics and experimentally demonstrate the feasibility of benchmarking with our proposed dynamical observables.</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

Benchmark quantum computer with analytical single spin-flip dynamics

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年12月19日

查看全文
  • Zheng-Xin Guo,
  • Xi-Dan Hu,
  • Qi-Qi Su,
  • Xue-Jia Yu,
  • Zhi Li

摘要

The physical world is inherently out of equilibrium, and understanding the non-equilibrium behavior of quantum many-body systems remains a key open challenge in condensed matter physics. Recent advances in quantum computing platforms, such as Rydberg atoms and superconducting qubits, have opened promising avenues for studying non-equilibrium dynamics of many-particle systems using quantum simulators. In this work, we propose a benchmark scheme for validating the dynamical evolution outcomes of future large-scale qubit systems, which far exceeds the capability of classical numerical benchmark. Based on the J 1 − J 2 $J_{1}-J_{2}$ Heisenberg model, we provide tunable analytical results including quantum walk dynamics, the out-of-time-ordered correlator (OTOC), and the butterfly velocity. Furthermore, taking IBM’s programmable quantum platform as an example, we design a scheme for simulating quantum walk dynamics and experimentally demonstrate the feasibility of benchmarking with our proposed dynamical observables.