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二维非阿贝尔伴随弦断裂的量子模拟

Quantum Simulations of Two-Dimensional Non-Abelian Adjoint String Breaking

Anthony N. Ciavarella, Roland de Putter, Ed Younis, Ermal Rrapaj

arXiv 2608.28752首次发表:更新:

发表机构

Lawrence Berkeley National Laboratory; IBM Quantum, IBM Research; National Energy Research Scientific Computing Center(劳伦斯伯克利国家实验室; IBM量子,IBM研究院; 国家能源研究科学计算中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究基于SU(2)格点规范理论,利用ibm_boston量子计算机在8×8、16×8格点上完成伴随弦断裂的量子模拟,其结果与张量网络模拟定量吻合,揭示了非阿贝尔规范群特征。

AI 中文摘要

量子计算机提供了直接探测强耦合量子场论动力学的潜力。为实现这一潜力,研究人员在三角晶格上构建了纯SU(2)格点规范理论的基于局部Krylov的截断。在该截断理论中构建了与动力学胶子相连的伴随弦,并确定了在大规范耦合值下主导长期动力学的共振。还构建了局部算子以识别弦的振荡与断裂。利用ibm_boston的全部156个量子比特,在8×8和16×8格点上对伴随弦断裂进行了量子模拟。对于含7634个CZ门、双量子比特门深度为218的电路,获得了与张量网络模拟的定量吻合。该模拟中,振荡速率与胶球产生速率被识别出 underlying规范群的明显非阿贝尔特征。

英文摘要

Quantum computers offer the potential to directly probe the dynamics of strongly coupled quantum field theories. As a step towards reaching this potential, local Krylov-based truncations of a pure SU(2) lattice gauge theory on a triangular lattice are constructed. Adjoint strings connected to dynamical gluons are constructed in this truncated theory, and the resonances dominating the long-term dynamics at a large value of the gauge coupling are determined. Local operators are constructed to identify string oscillations and breakings. This is used to perform a quantum simulation of adjoint string breaking on an $8\times8$ and $16\times8$-site lattice with ibm_boston using all 156 qubits. Quantitative agreement with tensor network simulations is obtained for circuits with 7,634 CZ gates with a two-qubit gate depth of 218. In this simulation, the rates of oscillations and glueball production are identified with a distinctly non-Abelian signature of the underlying gauge group.

Comments26 pages, 16 figures

论文原文

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