Overlap-ADAPT-VQE: practical quantum chemistry on quantum computers via overlap-guided compact Ansätze

Abstract ADAPT-VQE is a robust algorithm for hybrid quantum-classical simulations of quantum chemical systems on near-term quantum computers. While its iterative process systematically reaches the ground state energy, practical implementations of ADAPT-VQE are sensitive to local energy minima, leadi...

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Main Authors: César Feniou, Muhammad Hassan, Diata Traoré, Emmanuel Giner, Yvon Maday, Jean-Philip Piquemal
Format: Article
Language:English
Published: Nature Portfolio 2023-07-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-023-01312-y
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author César Feniou
Muhammad Hassan
Diata Traoré
Emmanuel Giner
Yvon Maday
Jean-Philip Piquemal
author_facet César Feniou
Muhammad Hassan
Diata Traoré
Emmanuel Giner
Yvon Maday
Jean-Philip Piquemal
author_sort César Feniou
collection DOAJ
description Abstract ADAPT-VQE is a robust algorithm for hybrid quantum-classical simulations of quantum chemical systems on near-term quantum computers. While its iterative process systematically reaches the ground state energy, practical implementations of ADAPT-VQE are sensitive to local energy minima, leading to over-parameterized ansätze. We introduce the Overlap-ADAPT-VQE to grow wave-functions by maximizing their overlap with any intermediate target wave-function that already captures some electronic correlation. By avoiding building the ansatz in the energy landscape strewn with local minima, the Overlap-ADAPT-VQE produces ultra-compact ansätze suitable for high-accuracy initialization of a new ADAPT procedure. Significant advantages over ADAPT-VQE are observed for strongly correlated systems including substantial savings in circuit depth. Since this compression strategy can also be initialized with accurate Selected-Configuration Interaction (SCI) classical target wave-functions, it paves the way for chemically accurate simulations of larger systems, and strengthens the promise of decisively surpassing classical quantum chemistry through the power of quantum computing.
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spelling doaj.art-6f5a7633b6894306a06ab7b122f07ac42023-07-30T11:17:26ZengNature PortfolioCommunications Physics2399-36502023-07-016111110.1038/s42005-023-01312-yOverlap-ADAPT-VQE: practical quantum chemistry on quantum computers via overlap-guided compact AnsätzeCésar Feniou0Muhammad Hassan1Diata Traoré2Emmanuel Giner3Yvon Maday4Jean-Philip Piquemal5Sorbonne Université, Laboratoire de Chimie Théorique (UMR-7616-CNRS)Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions (LJLL)Sorbonne Université, Laboratoire de Chimie Théorique (UMR-7616-CNRS)Sorbonne Université, Laboratoire de Chimie Théorique (UMR-7616-CNRS)Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions (LJLL)Sorbonne Université, Laboratoire de Chimie Théorique (UMR-7616-CNRS)Abstract ADAPT-VQE is a robust algorithm for hybrid quantum-classical simulations of quantum chemical systems on near-term quantum computers. While its iterative process systematically reaches the ground state energy, practical implementations of ADAPT-VQE are sensitive to local energy minima, leading to over-parameterized ansätze. We introduce the Overlap-ADAPT-VQE to grow wave-functions by maximizing their overlap with any intermediate target wave-function that already captures some electronic correlation. By avoiding building the ansatz in the energy landscape strewn with local minima, the Overlap-ADAPT-VQE produces ultra-compact ansätze suitable for high-accuracy initialization of a new ADAPT procedure. Significant advantages over ADAPT-VQE are observed for strongly correlated systems including substantial savings in circuit depth. Since this compression strategy can also be initialized with accurate Selected-Configuration Interaction (SCI) classical target wave-functions, it paves the way for chemically accurate simulations of larger systems, and strengthens the promise of decisively surpassing classical quantum chemistry through the power of quantum computing.https://doi.org/10.1038/s42005-023-01312-y
spellingShingle César Feniou
Muhammad Hassan
Diata Traoré
Emmanuel Giner
Yvon Maday
Jean-Philip Piquemal
Overlap-ADAPT-VQE: practical quantum chemistry on quantum computers via overlap-guided compact Ansätze
Communications Physics
title Overlap-ADAPT-VQE: practical quantum chemistry on quantum computers via overlap-guided compact Ansätze
title_full Overlap-ADAPT-VQE: practical quantum chemistry on quantum computers via overlap-guided compact Ansätze
title_fullStr Overlap-ADAPT-VQE: practical quantum chemistry on quantum computers via overlap-guided compact Ansätze
title_full_unstemmed Overlap-ADAPT-VQE: practical quantum chemistry on quantum computers via overlap-guided compact Ansätze
title_short Overlap-ADAPT-VQE: practical quantum chemistry on quantum computers via overlap-guided compact Ansätze
title_sort overlap adapt vqe practical quantum chemistry on quantum computers via overlap guided compact ansatze
url https://doi.org/10.1038/s42005-023-01312-y
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