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arXiv 2105.08910nucl-thquant-ph
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量子绝热算法计算原子核结构

Ab initio nuclear structure via quantum adiabatic algorithm

Weijie Du, James P. Vary, Xingbo Zhao, Wei Zuo

摘要:

背景:用从头算方法求解核多体问题被广泛认为是一个计算上具有挑战性的问题。量子计算机为解决这一挑战提供了一条有前途的道路。为此,迫切需要开发量子算法。目的:本工作探索了量子相位估计的绝热态制备量子算法在从头算原子核结构理论中的应用。我们着重于求解简单核系统的低激发能谱(包括基态和激发态)。想法:该算法的效率受到绝热演化过程中出现的小能隙(能级交叉)的阻碍。为了提高效率,我们引入的技术,以避免能级交叉:1)通过适当的设计的参考哈密顿量; 2)通过插入微扰项修改的绝热path. Results:我们说明了这种算法通过解决的氘核基态能量和频谱的束缚在一个谐振子陷阱实现IBM Qiskit量子模拟器。量子结果与经典的矩阵对角化结果一致。展望:随着我们对效率的改进,该算法为在未来的量子计算机上研究复杂核的低能谱提供了一个有前途的工具。

英文摘要:

Background: Solving nuclear many-body problems with an ab initio approach is widely recognized as a computationally challenging problem. Quantum computers offer a promising path to address this challenge. There are urgent needs to develop quantum algorithms for this purpose. Objective: In this work, we explore the application of the quantum algorithm of adiabatic state preparation with quantum phase estimation in ab initio nuclear structure theory. We focus on solving the low-lying spectra (including both the ground and excited states) of simple nuclear systems. Ideas: The efficiency of this algorithm is hindered by the emergence of small energy gaps (level crossings) during the adiabatic evolution. In order to improve the efficiency, we introduce techniques to avoid level crossings: 1) by suitable design of the reference Hamiltonian; 2) by insertions of perturbation terms to modify the adiabatic path. Results: We illustrate this algorithm by solving the deuteron ground state energy and the spectrum of the deuteron bounded in a harmonic oscillator trap implementing the IBM Qiskit quantum simulator. The quantum results agree well the classical results obtained by matrix diagonalization. Outlook: With our improvements to the efficiency, this algorithm provides a promising tool for investigating the low-lying spectra of complex nuclei on future quantum computers.

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。

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