Efficient truncations of SU(Nc) lattice gauge theory for quantum simulation

IF 5.3 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-09-26 DOI:10.1103/ylqb-phv5

Anthony N. Ciavarella, Ivan M. Burbano, Christian W. Bauer

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Abstract

Quantum simulations of lattice gauge theories offer the potential to directly study the nonperturbative dynamics of quantum chromodynamics, but naive analyses suggest that they require large computational resources. Large Nc expansions are performed to order 1/Nc to simplify the Hamiltonian of pure SU(Nc) lattice gauge theories. A reformulation of the electric basis is introduced with a truncation strategy based on the construction of local Krylov subspaces with plaquette operators. Numerical simulations show that these truncated Hamiltonians are consistent with traditional lattice calculations at relatively small couplings. It is shown that the computational resources required for quantum simulation of time evolution generated by these Hamiltonians is 17–19 orders of magnitude smaller than previous approaches, provided that the truncations in this work can reach lattice spacings in three-dimensional simulations comparable to the two-dimensional simulations performed.

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量子模拟中SU（Nc）晶格规范理论的有效截断

晶格规范理论的量子模拟提供了直接研究量子色动力学的非微扰动力学的潜力，但幼稚的分析表明，它们需要大量的计算资源。为了简化纯SU（Nc）晶格规范理论的哈密顿量，对1/Nc阶进行了大的Nc展开。引入了一种基于局部Krylov子空间的截断策略的电基重构。数值模拟表明，这些截断的哈密顿量在相对较小的耦合下与传统的晶格计算一致。结果表明，这些哈密顿量生成的时间演化量子模拟所需的计算资源比以前的方法小17-19个数量级，前提是本工作中的截断可以在三维模拟中达到与二维模拟相当的晶格间距。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.