论文标题
IBM量子计算机上的Schrieffer-Wolff转换
Schrieffer-Wolff Transformation on IBM Quantum Computer
论文作者
论文摘要
Schrieffer-Wolff转化（SWT）已在量子多体物理学中广泛使用，以计算低能量有效的哈密顿量。它提供了一种扰动方法，可以理解量子多体模型中强相关性的重新归一化效应。 Schrieffer-Wolff转换的发电机通常是通过启发式方法计算的。最近，已经报道了一种用于计算这种极为显着转化的系统而优雅的方法[1]。鉴于SWT对于许多领域的重要性，包括量子凝结物理，量子光学和量子腔电动力学，因此必须开发量子算法以在量子计算机上执行SWT。在本文中，我们提出了该量子算法，并将其用于单个杂质Anderson模型（SIAM），从而以有效的Hamiltonian来达到Kondo模型。我们在Qiskit中实现量子算法，并在IBM量子计算机上为暹罗执行SWT。据我们所知，这项工作是使用量子算法从Anderson杂质模型中获得围绕模型的第一项此类工作。
Schrieffer-Wolff transformation (SWT) has been extensively used in quantum many-body physics to calculate the low energy effective Hamiltonian. It provides a perturbative method to comprehend the renormalization effects of strong correlations in the quantum many-body models. The generator for Schrieffer-Wolff transformation is calculated usually by heuristic methods. Recently, a systematic and elegant method for the calculation of this extremely significant transformation has been reported [1]. Given the huge significance of SWT for many areas including quantum condensed matter physics, quantum optics and quantum cavity electrodynamics, it is imperative to develop quantum algorithm for carrying out SWT on quantum computer. In this paper, we put forward this quantum algorithm and demonstrate it for single impurity Anderson model (SIAM), thereby arriving at Kondo model as effective Hamiltonian. We implement our quantum algorithm in QisKit and carry out SWT for SIAM on IBM Quantum computers. To the best of our knowledge, this work is the first of its kind to obtain Kondo model from Anderson impurity model using a quantum algorithm.
