arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新，休息一下吧，周末愉快~~
arXiv 2312.06975quant-ph
收藏

从量子计算矩获得任意基态可观测量

Arbitrary Ground State Observables from Quantum Computed Moments

Harish J. Vallury, Lloyd C. L. Hollenberg

备注：
5 pages, 2 figures. Accepted paper at the 2023 IEEE International Conference on Quantum Computing and Engineering (QCE23)
发表信息：
Proceedings of the 2023 IEEE International Conference on Quantum Computing and Engineering (QCE), pp. 295-299
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

AI总结：

本文扩展量子计算矩（QCM）方法，使其能从次优或含噪试探态估计任意基态可观测量，并通过Heisenberg模型磁化与自旋关联验证其抗噪优势和近期硬件潜力。

摘要：

确定量子系统的基态性质是物理学和化学中的一个基本问题，也被认为是量子计算机的一项关键应用。一种常见方法是在量子计算机上制备一个试探基态，并测量能量等可观测量，但这通常受到硬件限制，无法准确描述目标基态。量子计算矩（QCM）方法已被证明在估计系统基态能量方面非常有用，其做法是针对次优或含噪的试探态计算哈密顿量各阶矩。本文将QCM方法扩展，用于估计量子系统的任意基态可观测量。我们给出了使用QCM确定各种形式Heisenberg模型的基态磁化强度和自旋—自旋关联的初步结果。研究结果验证了QCM相对于现有方法在处理次优试探态和噪声方面已被充分证实的优势，将其适用性扩展到更一般的基态性质估计，并展示了其在近期量子硬件上解决广泛问题的实际潜力。

英文摘要：

The determination of ground state properties of quantum systems is a fundamental problem in physics and chemistry, and is considered a key application of quantum computers. A common approach is to prepare a trial ground state on the quantum computer and measure observables such as energy, but this is often limited by hardware constraints that prevent an accurate description of the target ground state. The quantum computed moments (QCM) method has proven to be remarkably useful in estimating the ground state energy of a system by computing Hamiltonian moments with respect to a suboptimal or noisy trial state. In this paper, we extend the QCM method to estimate arbitrary ground state observables of quantum systems. We present preliminary results of using QCM to determine the ground state magnetisation and spin-spin correlations of the Heisenberg model in its various forms. Our findings validate the well-established advantage of QCM over existing methods in handling suboptimal trial states and noise, extend its applicability to the estimation of more general ground state properties, and demonstrate its practical potential for solving a wide range of problems on near-term quantum hardware.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑