论文标题
使用能量力矩的更快的光谱密度计算
Faster spectral density calculation using energy moments
论文作者
论文摘要
线性响应方案中包含散射横截面的准确预测需要有效且可控制的方法，以计算强相关的多体系统中的光谱密度。在这项工作中，我们根据系统的傅立叶时刻汉密尔顿，可以在量子计算机上有效地计算出最近提出的高斯积分转换技术。该框架的主要优点之一是，它通过利用先前有关光谱密度的能量力矩的知识来重要降低计算成本。对于中等质量核的简单模型，例如$^{40} $ ca和$ 1 $ 1 $ meV的目标能量分辨率，我们发现预期的$ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 50 $的约125 $大约为125 $倍，并在典型的典型瞬间转换器中的准弹性电子散射模拟的模拟大约50美元$倍。
Accurate predictions of inclusive scattering cross sections in the linear response regime require efficient and controllable methods to calculate the spectral density in a strongly-correlated many-body system. In this work we reformulate the recently proposed Gaussian Integral Transform technique in terms of Fourier moments of the system Hamiltonian which can be computed efficiently on a quantum computer. One of the main advantages of this framework is that it allows for an important reduction of the computational cost by exploiting previous knowledge about the energy moments of the spectral density. For a simple model of medium mass nucleus like $^{40}$Ca and target energy resolution of $1$ MeV we find an expected speed-up of $\approx 125$ times for the calculation of the giant dipole response and of $\approx 50$ times for the simulation of quasi-elastic electron scattering at typical momentum transfers.
