Reducing the resources required by ADAPT-VQE using coupled exchange operators and improved subroutines

Abstract Adaptive variational quantum algorithms arguably offer the best prospects for quantum advantage in the Noisy Intermediate-Scale Quantum era. Since the inception of the first such algorithm, the Adaptive Derivative-Assembled Problem-Tailored Variational Quantum Eigensolver (ADAPT-VQE), many...

Full description

Saved in:
Bibliographic Details
Main Authors: Mafalda Ramôa, Panagiotis G. Anastasiou, Luis Paulo Santos, Nicholas J. Mayhall, Edwin Barnes, Sophia E. Economou
Format: Article
Language:English
Published: Nature Portfolio 2025-05-01
Series:npj Quantum Information
Online Access:https://doi.org/10.1038/s41534-025-01039-4
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850231388594241536
author Mafalda Ramôa
Panagiotis G. Anastasiou
Luis Paulo Santos
Nicholas J. Mayhall
Edwin Barnes
Sophia E. Economou
author_facet Mafalda Ramôa
Panagiotis G. Anastasiou
Luis Paulo Santos
Nicholas J. Mayhall
Edwin Barnes
Sophia E. Economou
author_sort Mafalda Ramôa
collection DOAJ
description Abstract Adaptive variational quantum algorithms arguably offer the best prospects for quantum advantage in the Noisy Intermediate-Scale Quantum era. Since the inception of the first such algorithm, the Adaptive Derivative-Assembled Problem-Tailored Variational Quantum Eigensolver (ADAPT-VQE), many improvements have appeared in the literature. We combine the key improvements along with a novel operator pool—which we term Coupled Exchange Operator (CEO) pool—to assess the cost of running state-of-the-art ADAPT-VQE on hardware in terms of measurement counts and circuit depth. We show a dramatic reduction of these quantum computational resources compared to the early versions of the algorithm: CNOT count, CNOT depth and measurement costs are reduced by up to 88%, 96% and 99.6%, respectively, for molecules represented by 12 to 14 qubits (LiH, H6 and BeH2). We also find that our state-of-the-art CEO-ADAPT-VQE outperforms the Unitary Coupled Cluster Singles and Doubles ansatz, the most widely used static VQE ansatz, in all relevant metrics, and offers a five order of magnitude decrease in measurement costs as compared to other static ansätze with competitive CNOT counts.
format Article
id doaj-art-dd2f44eae130475f8f7997bcbcfc16f1
institution OA Journals
issn 2056-6387
language English
publishDate 2025-05-01
publisher Nature Portfolio
record_format Article
series npj Quantum Information
spelling doaj-art-dd2f44eae130475f8f7997bcbcfc16f12025-08-20T02:03:32ZengNature Portfolionpj Quantum Information2056-63872025-05-0111111910.1038/s41534-025-01039-4Reducing the resources required by ADAPT-VQE using coupled exchange operators and improved subroutinesMafalda Ramôa0Panagiotis G. Anastasiou1Luis Paulo Santos2Nicholas J. Mayhall3Edwin Barnes4Sophia E. Economou5Department of Physics, Virginia TechDepartment of Physics, Virginia TechInternational Iberian Nanotechnology Laboratory (INL)Virginia Tech Center for Quantum Information Science and EngineeringDepartment of Physics, Virginia TechDepartment of Physics, Virginia TechAbstract Adaptive variational quantum algorithms arguably offer the best prospects for quantum advantage in the Noisy Intermediate-Scale Quantum era. Since the inception of the first such algorithm, the Adaptive Derivative-Assembled Problem-Tailored Variational Quantum Eigensolver (ADAPT-VQE), many improvements have appeared in the literature. We combine the key improvements along with a novel operator pool—which we term Coupled Exchange Operator (CEO) pool—to assess the cost of running state-of-the-art ADAPT-VQE on hardware in terms of measurement counts and circuit depth. We show a dramatic reduction of these quantum computational resources compared to the early versions of the algorithm: CNOT count, CNOT depth and measurement costs are reduced by up to 88%, 96% and 99.6%, respectively, for molecules represented by 12 to 14 qubits (LiH, H6 and BeH2). We also find that our state-of-the-art CEO-ADAPT-VQE outperforms the Unitary Coupled Cluster Singles and Doubles ansatz, the most widely used static VQE ansatz, in all relevant metrics, and offers a five order of magnitude decrease in measurement costs as compared to other static ansätze with competitive CNOT counts.https://doi.org/10.1038/s41534-025-01039-4
spellingShingle Mafalda Ramôa
Panagiotis G. Anastasiou
Luis Paulo Santos
Nicholas J. Mayhall
Edwin Barnes
Sophia E. Economou
Reducing the resources required by ADAPT-VQE using coupled exchange operators and improved subroutines
npj Quantum Information
title Reducing the resources required by ADAPT-VQE using coupled exchange operators and improved subroutines
title_full Reducing the resources required by ADAPT-VQE using coupled exchange operators and improved subroutines
title_fullStr Reducing the resources required by ADAPT-VQE using coupled exchange operators and improved subroutines
title_full_unstemmed Reducing the resources required by ADAPT-VQE using coupled exchange operators and improved subroutines
title_short Reducing the resources required by ADAPT-VQE using coupled exchange operators and improved subroutines
title_sort reducing the resources required by adapt vqe using coupled exchange operators and improved subroutines
url https://doi.org/10.1038/s41534-025-01039-4
work_keys_str_mv AT mafaldaramoa reducingtheresourcesrequiredbyadaptvqeusingcoupledexchangeoperatorsandimprovedsubroutines
AT panagiotisganastasiou reducingtheresourcesrequiredbyadaptvqeusingcoupledexchangeoperatorsandimprovedsubroutines
AT luispaulosantos reducingtheresourcesrequiredbyadaptvqeusingcoupledexchangeoperatorsandimprovedsubroutines
AT nicholasjmayhall reducingtheresourcesrequiredbyadaptvqeusingcoupledexchangeoperatorsandimprovedsubroutines
AT edwinbarnes reducingtheresourcesrequiredbyadaptvqeusingcoupledexchangeoperatorsandimprovedsubroutines
AT sophiaeeconomou reducingtheresourcesrequiredbyadaptvqeusingcoupledexchangeoperatorsandimprovedsubroutines