Quantum computation of eigenvalues within target intervals

Phillip W. K. Jensen

doi:10.1088/2058-9565/abc096

2020-11-10

Phillip W. K. Jensen *

Lasse Bjørn Kristensen

Jakob S. Kottmann

Alán Aspuru‐Guzik

DOI：10.1088/2058-9565/abc096

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摘要

En 中文

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.

Keyword:

quantum algorithm

quantum simulation

quantum amplitude amplification and estimation

quantum phase estimation

期刊

Quantum Science and Technology

IF:

论文数:

1.4K

被引数:

5.1K

机构

Aarhus University

学者数:

4.3W

论文数: 4.2W

被引数: 4.8W

university of toronto

学者数:

14.8W

论文数: 12.0W

被引数: 165

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