论文标题
来自运动算法的量子方程的一粒子绿色功能
One-particle Green's functions from the quantum equation of motion algorithm
论文作者
论文摘要
多体绿色的功能编码相互作用电子的所有属性和激发。尽管这些具有挑战性要在古典计算机上进行准确评估，但最近的努力是针对寻找可能为该任务提供量子优势的量子算法的，从而利用了在不久的将来将可用的体系结构。在这项工作中，我们引入了一种新型的近期量子算法，用于通过其Lehmann表示来计算单粒子的功能。该方法基于运动算法的量子方程式的概括，该方程可访问系统的激发。我们通过计算IBM量子处理器上的两个站点费米 - 哈伯德模型的绿色功能来证明本提案的有效性。
Many-body Green's functions encode all the properties and excitations of interacting electrons. While these are challenging to be evaluated accurately on a classical computer, recent efforts have been directed towards finding quantum algorithms that may provide a quantum advantage for this task, exploiting architectures that will become available in the near future. In this work we introduce a novel near-term quantum algorithm for computing one-particle Green's functions via their Lehmann representation. The method is based on a generalization of the quantum equation of motion algorithm that gives access to the charged excitations of the system. We demonstrate the validity of the present proposal by computing the Green's function of a two-site Fermi-Hubbard model on a IBM quantum processor.
