论文标题

目标间隔内特征值的量子计算

Quantum Computation of Eigenvalues within Target Intervals

论文作者

Jensen, Phillip W. K., Kristensen, Lasse Bjørn, Kottmann, Jakob S., Aspuru-Guzik, Alán

论文摘要

例如,在计算哈密顿量的能量光谱方面存在广泛的兴趣,例如,通过离子在材料中分析光谱和能量沉积。在这项研究中,我们提出了一种量子算法,该算法在目标能量间隙中采样了一个能量集,而无需对目标能量元素的近似值进行近似。我们讨论直接和迭代放大协议的实现,并提供资源和运行时估计。我们通过在分子氢上扩增激发态来说明初始应用。

There is widespread interest in calculating the energy spectrum of a Hamiltonian, for example to analyze optical spectra and energy deposition by ions in materials. In this study, we propose a quantum algorithm that samples the set of energies within a target energy-interval without requiring good approximations of the target energy-eigenstates. We discuss the implementation of direct and iterative amplification protocols and give resource and runtime estimates. We illustrate initial applications by amplifying excited states on molecular Hydrogen.

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