Quantum simulation of realistic materials in first quantization using non-local pseudopotentials

Abstract This paper improves and demonstrates the usefulness of the first quantized plane-wave algorithms for the quantum simulation of electronic structure. We describe our quantum algorithm for first quantized simulation that accurately includes pseudopotentials. We focus on the Goedecker-Tetter-H...

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Main Authors: Dominic W. Berry, Nicholas C. Rubin, Ahmed O. Elnabawy, Gabriele Ahlers, A. Eugene DePrince, Joonho Lee, Christian Gogolin, Ryan Babbush
Format: Article
Language:English
Published: Nature Portfolio 2024-12-01
Series:npj Quantum Information
Online Access:https://doi.org/10.1038/s41534-024-00896-9
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author Dominic W. Berry
Nicholas C. Rubin
Ahmed O. Elnabawy
Gabriele Ahlers
A. Eugene DePrince
Joonho Lee
Christian Gogolin
Ryan Babbush
author_facet Dominic W. Berry
Nicholas C. Rubin
Ahmed O. Elnabawy
Gabriele Ahlers
A. Eugene DePrince
Joonho Lee
Christian Gogolin
Ryan Babbush
author_sort Dominic W. Berry
collection DOAJ
description Abstract This paper improves and demonstrates the usefulness of the first quantized plane-wave algorithms for the quantum simulation of electronic structure. We describe our quantum algorithm for first quantized simulation that accurately includes pseudopotentials. We focus on the Goedecker-Tetter-Hutter pseudopotential, and despite its complicated form, we block encode the associated operator without significantly increasing the overall cost of quantum simulation. This is surprising since simulating the nuclear potential is much simpler without pseudopotentials, yet is still the bottleneck. We also generalize prior methods to enable the simulation of materials with non-cubic unit cells, which requires nontrivial modifications. Finally, we combine these techniques to estimate block-encoding costs for commercially relevant instances of heterogeneous catalysis (e.g. carbon monoxide adsorption) and compare to the quantum resources needed to simulate materials in second quantization. We conclude that for computational cells with many particles, first quantization often requires meaningfully less spacetime volume.
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spelling doaj-art-b1df72fbbb94461ba9ddd85c6ec31d102024-12-22T12:39:37ZengNature Portfolionpj Quantum Information2056-63872024-12-0110112910.1038/s41534-024-00896-9Quantum simulation of realistic materials in first quantization using non-local pseudopotentialsDominic W. Berry0Nicholas C. Rubin1Ahmed O. Elnabawy2Gabriele Ahlers3A. Eugene DePrince4Joonho Lee5Christian Gogolin6Ryan Babbush7School of Mathematical and Physical Sciences, Macquarie UniversityGoogle Quantum AICovestro Deutschland AGCovestro Deutschland AGGoogle Quantum AIGoogle Quantum AICovestro Deutschland AGGoogle Quantum AIAbstract This paper improves and demonstrates the usefulness of the first quantized plane-wave algorithms for the quantum simulation of electronic structure. We describe our quantum algorithm for first quantized simulation that accurately includes pseudopotentials. We focus on the Goedecker-Tetter-Hutter pseudopotential, and despite its complicated form, we block encode the associated operator without significantly increasing the overall cost of quantum simulation. This is surprising since simulating the nuclear potential is much simpler without pseudopotentials, yet is still the bottleneck. We also generalize prior methods to enable the simulation of materials with non-cubic unit cells, which requires nontrivial modifications. Finally, we combine these techniques to estimate block-encoding costs for commercially relevant instances of heterogeneous catalysis (e.g. carbon monoxide adsorption) and compare to the quantum resources needed to simulate materials in second quantization. We conclude that for computational cells with many particles, first quantization often requires meaningfully less spacetime volume.https://doi.org/10.1038/s41534-024-00896-9
spellingShingle Dominic W. Berry
Nicholas C. Rubin
Ahmed O. Elnabawy
Gabriele Ahlers
A. Eugene DePrince
Joonho Lee
Christian Gogolin
Ryan Babbush
Quantum simulation of realistic materials in first quantization using non-local pseudopotentials
npj Quantum Information
title Quantum simulation of realistic materials in first quantization using non-local pseudopotentials
title_full Quantum simulation of realistic materials in first quantization using non-local pseudopotentials
title_fullStr Quantum simulation of realistic materials in first quantization using non-local pseudopotentials
title_full_unstemmed Quantum simulation of realistic materials in first quantization using non-local pseudopotentials
title_short Quantum simulation of realistic materials in first quantization using non-local pseudopotentials
title_sort quantum simulation of realistic materials in first quantization using non local pseudopotentials
url https://doi.org/10.1038/s41534-024-00896-9
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