AI 中文总结
该研究基于现实核哈密顿量提出核多体系统量子算法基准测试框架，通过特定工作流程构建基准实例，为三种算法提供资源估计，量化缩放趋势，为量子处理核多体问题比较提供基础，由 NuQuLib 软件栈实现。
AI 中文摘要
我们提出了一个基于现实核哈密顿量（如手征有效场论）对核多体系统量子算法进行基准测试的框架。为此，我们引入了一种工作流程，将二次量子化形式的核相互作用映射到量子比特哈密顿量。这使得能够系统地构建包含两体（NN）和选定三体（3N）相互作用的无芯和价空间公式的基准实例。接着，我们为三种代表性的本征值算法提供资源估计：量子相位估计、量子克里洛夫方法和可观测量动态模式分解。我们比较它们在T门计数和系统大小方面的资源需求，并研究模型空间选择和多体相互作用的影响。我们分析中包含的原语有 Trotterization、量子比特化和量子奇异值变换。我们的结果量化了算法和问题类别的缩放趋势，并为量子方法处理核多体问题的一致比较提供了基础。该实现由 NuQuLib 软件栈提供。
英文摘要
We present a framework for benchmarking quantum algorithms for nuclear many-body systems based on realistic nuclear Hamiltonians such as chiral effective field theory. To this end, we introduce a workflow that maps nuclear interactions in second quantization formalism to qubit Hamiltonians. This enables the systematic construction of benchmark instances spanning no-core and valence-space formulations with two-body (NN) and selected three-body (3N) interactions. Then, we proceed to provide resource estimates for three representative eigenvalue algorithms: Quantum Phase Estimation, Quantum Krylov methods, and Observable Dynamic Mode Decomposition. We compare their resource requirements in terms of T-gate counts and system size, and examine the impact of model-space choices and many-body interactions. The primitives included in our analysis are Trotterization, Qubitization, and Quantum Singular Value Transformation. Our results quantify scaling trends across algorithms and problem classes, and provide a basis for consistent comparisons of quantum approaches to nuclear many-body problems. The implementation is provided by the NuQuLib software stack.
Comments28 pages, 13 figures, Zenodo DOI added
