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通过Lindblad方程对夸克-胶子等离子体中底夸克偶素动力学的量子模拟

Quantum simulation of bottomonium dynamics in the quark-gluon plasma via the Lindblad equation

Linyuan Wei, Jin Hu, Anping Huang, Yunpeng Liu, Baoyi Chen

arXiv 2608.06754首次发表:更新:

AI 中文总结

本研究利用约化球坐标表示开展夸克-胶子等离子体中底夸克偶素的Lindblad方程量子模拟,定量证实色八重态对$Υ(1S)$产额影响较小,并优化出仅需单个辅助量子比特的高效模拟算法。

AI 中文摘要

量子计算为模拟开放量子系统中的实时动力学提供了强大框架,在高能核碰撞中的重夸克偶素输运建模方面具有关键优势。本研究采用约化球坐标表示,对夸克-胶子等离子体中底夸克偶素的各向同性次领头阶Lindblad方程开展量子模拟。我们将算符与波函数离散化,把物理态映射到量子比特上,并通过参数化量子门操作执行时间演化。通过提取$Υ(1S)$的存活概率,我们定量分离出色八重态的贡献,证明在大型强子对撞机(Large Hadron Collider)可达到的温度下,其对热QCD介质中底夸克偶素基态$Υ(1S)$最终产额的整体影响较小。此外,我们进一步优化了Lindblad方程的量子模拟算法。改进后的算法仅需单个辅助量子比特即可实现Lindblad演化,从而显著缩减了量子线路规模。

英文摘要

Quantum computing provides a powerful framework for simulating real-time dynamics in open quantum systems, offering key advantages for modeling heavy-quarkonium transport in high-energy nuclear collisions. In this work, we perform quantum simulations of the isotropic next-to-leading-order Lindblad equation for bottomonium in the quark-gluon plasma using a reduced spherical coordinate representation. We discretize operators and wavefunctions, map the physical state onto qubits, and execute time evolution via parameterized quantum gate operations. By extracting the $Υ(1S)$ survival probability, we quantitatively isolate the color-octet contribution, demonstrating that its overall impact is small in the final production of the bottomonium ground state $Υ(1S)$ in the hot QCD medium at temperatures accessible at the Large Hadron Collider. Additionally, we have further optimized the quantum simulation algorithm for the Lindblad equation. The improved algorithm requires only a single ancillary qubit to realize the Lindblad evolution, thereby minimizing the circuit significantly.

论文原文

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