论文标题

使用量子退火器计算分子的基态特性

Using Quantum Annealers to Calculate Ground State Properties of Molecules

论文作者

Copenhaver, Justin, Wasserman, Adam, Wehefritz-Kaufmann, Birgit

论文摘要

量子退火器是量子计算的另一种方法,它利用绝热定理有效地找到了可实现的哈密顿量的基态。此类设备目前可商购,并已成功应用于多个组合和离散优化问题。但是,由于难以将分子系统映射到伊辛模型的哈密顿量,因此将量子退火器应用于化学问题仍然是一个相对稀疏的研究领域。在本文中,我们回顾了使用基于ISING模型的量子退火器找到分子哈密顿量的基础状态的两种不同的方法。另外,我们通过计算H+3和H2O分子的结合能,键长和键角并映射其势能曲线的结合能,键长和键角来比较每种方法的相对有效性。我们还通过确定使用各种参数值模拟每个分子所需的量子数和计算时间来评估每种方法的资源需求。尽管这些方法中的每一种都能够准确预测小分子的基态特性,但我们发现它们的表现仍然超过现代的古典算法,并且资源需求的缩放仍然是一个挑战。

Quantum annealers are an alternative approach to quantum computing which make use of the adiabatic theorem to efficiently find the ground state of a physically realizable Hamiltonian. Such devices are currently commercially available and have been successfully applied to several combinatorial and discrete optimization problems. However, the application of quantum annealers to problems in chemistry remains a relatively sparse area of research due to the difficulty in mapping molecular systems to the Ising model Hamiltonian. In this paper we review two different methods for finding the ground state of molecular Hamiltonians using Ising model-based quantum annealers. In addition, we compare the relative effectiveness of each method by calculating the binding energies, bond lengths, and bond angles of the H+3and H2O molecules and mapping their potential energy curves. We also assess the resource requirements of each method by determining the number of qubits and computation time required to simulate each molecule using various parameter values. While each of these methods is capable of accurately predicting the ground state properties of small molecules, we find that they are still outperformed by modern classical algorithms and that the scaling of the resource requirements remains a challenge.

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