论文标题
通过自适应变分量子算法解决核结构问题
Solving Nuclear Structure Problems with the Adaptive Variational Quantum Algorithm
论文作者
论文摘要
我们使用Lipkin-Meshkov-Glick（LMG）模型和价空间核壳模型来检查核结构理论中变异量子量化的可能性能。 LMG模型在其中一个阶段的平均场水平上表现出相变和自发对称性破裂，这些特征表征了中等质量和重核的集体动力学。我们表明，通过适当的修改，这些并发症并没有困扰Adapt-VQE算法，这是一种特别灵活且准确的变化方法。我们最多处理12个颗粒，并表明与量子数的数量线性接近地面能量所需的量子操作数量。当将算法应用于$ SD $和$ PF $ shell中的核心壳模型时，我们发现类似的缩放比例。尽管这些模拟中的大多数没有噪声，但我们使用来自真实IBM硬件的噪声模型来表明，对于具有四个粒子的LMG模型，弱噪声对算法的效率没有影响。
We use the Lipkin-Meshkov-Glick (LMG) model and the valence-space nuclear shell model to examine the likely performance of variational quantum eigensolvers in nuclear-structure theory. The LMG model exhibits both a phase transition and spontaneous symmetry breaking at the mean-field level in one of the phases, features that characterize collective dynamics in medium-mass and heavy nuclei. We show that with appropriate modifications, the ADAPT-VQE algorithm, a particularly flexible and accurate variational approach, is not troubled by these complications. We treat up to 12 particles and show that the number of quantum operations needed to approach the ground-state energy scales linearly with the number of qubits. We find similar scaling when the algorithm is applied to the nuclear shell model with realistic interactions in the $sd$ and $pf$ shells. Although most of these simulations contain no noise, we use a noise model from real IBM hardware to show that for the LMG model with four particles, weak noise has no effect on the efficiency of the algorithm.
