标题： 轻核素中变分量子本征求解器的比较 显示英文标题

标题： Comparison of variational quantum eigensolvers in light nuclei

摘要： 量子计算是未来近期内最有希望的技术之一，量子多体系统的模拟是一种自然的应用。 在本工作中，我们展示了在 $p$ 壳内轻原子核的基态的经典模拟，从 $^{6}$He 到 $^{10}$B，这些是在核壳模型中计算得到的。 我们比较了两种领先的变分量子本征求解器算法的性能：单位耦合簇（UCC）和自适应导数组装伪托特尔（ADAPT）方法，并引入了一种新指标来量化每次模拟中量子资源的使用。 我们发现斯莱特行列式是这两种方法中最有用的参考态。 我们的分析表明，ADAPT在接近幻数的核中更高效，而UCC则在中等壳层时倾向于需要更少的资源。 这项工作为核结构研究中量子算法的稳健基准测试奠定了基础。 显示英文摘要

摘要： Quantum computing is one of the most promising technologies of the near future, and the simulation of quantum many-body systems is a natural application. In this work, we present classical simulations of the ground states of light atomic nuclei within the $p$ shell, from $^{6}$He to $^{10}$B, calculated within the nuclear shell model. We compare the performance of two leading variational quantum eigensolver algorithms: the Unitary Coupled Cluster (UCC) and the Adaptive Derivative-Assembled Pseudo-Trotter (ADAPT) methods, introducing a new metric to quantify the use of quantum resources in each simulation. We find that Slater determinants are the most useful reference states for both approaches. Our analysis suggests that ADAPT is more efficient for nuclei close to magic numbers, while UCC tends to require fewer resources toward the mid shell. This work lays the groundwork for robust benchmarking of quantum algorithms in nuclear structure studies.