Quantum computation of eigenvalues within target intervals

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 a...

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Bibliographic Details
Published inQuantum science and technology Vol. 6; no. 1; pp. 15004 - 15021
Main Authors Jensen, Phillip W K, Kristensen, Lasse Bjørn, Kottmann, Jakob S, Aspuru-Guzik, Alán
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.01.2021
Subjects
quantum algorithm
quantum amplitude amplification and estimation
quantum phase estimation
quantum simulation
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Summary: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.
Bibliography:QST-100854.R1
ISSN:2058-9565
2058-9565
DOI:10.1088/2058-9565/abc096