基于量子运动方程算法的单粒子格林函数
One-particle Green's functions from the quantum equation of motion algorithm
摘要：
多体格林函数编码了相互作用电子的所有性质和激发。虽然这些都是具有挑战性的经典计算机上进行准确评估，最近的努力已经指向寻找量子算法，可以提供一个量子优势，这项任务，利用架构，将在不久的将来成为可用。在这项工作中，我们介绍了一种新的近期量子算法计算单粒子格林函数通过其莱曼表示。该方法是基于广义的量子运动方程算法，使访问的系统的充电激励。我们通过在IBM量子处理机上计算一个双位费米-哈伯德模型的格林函数来证明本文方法的有效性。
英文摘要：
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.
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