Simulating Methylamine Using a Symmetry-Adapted, Qubit Excitation-Based Variational Quantum Eigensolver

Understanding the capabilities of quantum computer devices and computing the required resources to solve realistic tasks remain critical challenges associated with achieving useful quantum computational advantage. We present a study aimed at reducing the quantum resource overhead in quantum chemistr...

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Main Authors: Konstantin M. Makushin, Aleksey K. Fedorov
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Quantum Reports
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Online Access:https://www.mdpi.com/2624-960X/7/2/21
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author Konstantin M. Makushin
Aleksey K. Fedorov
author_facet Konstantin M. Makushin
Aleksey K. Fedorov
author_sort Konstantin M. Makushin
collection DOAJ
description Understanding the capabilities of quantum computer devices and computing the required resources to solve realistic tasks remain critical challenges associated with achieving useful quantum computational advantage. We present a study aimed at reducing the quantum resource overhead in quantum chemistry simulations using the variational quantum eigensolver (VQE). Our approach achieves up to a two-orders-of magnitude reduction in the required number of two-qubit operations for variational problem-inspired ansatzes. We propose and analyze optimization strategies that combine various methods, including molecular point-group symmetries, compact excitation circuits, different types of excitation sets, and qubit tapering. To validate the compatibility and accuracy of these strategies, we first test them on small molecules such as LiH and BeH<sub>2</sub>, then apply the most efficient ones to restricted active-space simulations of methylamine. We complete our analysis by computing the resources required for full-valence, active-space simulations of methylamine (26 qubits) and formic acid (28 qubits) molecules. Our best-performing optimization strategy reduces the two-qubit gate count for methylamine from approximately 600,000 to about 12,000 and yields a similar order-of-magnitude improvement for formic acid. This resource analysis represents a valuable step towards the practical use of quantum computers and the development of better methods for optimizing computing resources.
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spelling doaj-art-f3c3daeecc80434c8b88aba124b80dbe2025-08-20T02:21:57ZengMDPI AGQuantum Reports2624-960X2025-04-01722110.3390/quantum7020021Simulating Methylamine Using a Symmetry-Adapted, Qubit Excitation-Based Variational Quantum EigensolverKonstantin M. Makushin0Aleksey K. Fedorov1Department of Theoretical Physics, Institute of Physics, Kazan Federal University, Kazan 420008, RussiaNational University of Science and Technology “MISIS”, Moscow 119049, RussiaUnderstanding the capabilities of quantum computer devices and computing the required resources to solve realistic tasks remain critical challenges associated with achieving useful quantum computational advantage. We present a study aimed at reducing the quantum resource overhead in quantum chemistry simulations using the variational quantum eigensolver (VQE). Our approach achieves up to a two-orders-of magnitude reduction in the required number of two-qubit operations for variational problem-inspired ansatzes. We propose and analyze optimization strategies that combine various methods, including molecular point-group symmetries, compact excitation circuits, different types of excitation sets, and qubit tapering. To validate the compatibility and accuracy of these strategies, we first test them on small molecules such as LiH and BeH<sub>2</sub>, then apply the most efficient ones to restricted active-space simulations of methylamine. We complete our analysis by computing the resources required for full-valence, active-space simulations of methylamine (26 qubits) and formic acid (28 qubits) molecules. Our best-performing optimization strategy reduces the two-qubit gate count for methylamine from approximately 600,000 to about 12,000 and yields a similar order-of-magnitude improvement for formic acid. This resource analysis represents a valuable step towards the practical use of quantum computers and the development of better methods for optimizing computing resources.https://www.mdpi.com/2624-960X/7/2/21quantum computingquantum chemistryvariational algorithmsvqevariational ansatz
spellingShingle Konstantin M. Makushin
Aleksey K. Fedorov
Simulating Methylamine Using a Symmetry-Adapted, Qubit Excitation-Based Variational Quantum Eigensolver
Quantum Reports
quantum computing
quantum chemistry
variational algorithms
vqe
variational ansatz
title Simulating Methylamine Using a Symmetry-Adapted, Qubit Excitation-Based Variational Quantum Eigensolver
title_full Simulating Methylamine Using a Symmetry-Adapted, Qubit Excitation-Based Variational Quantum Eigensolver
title_fullStr Simulating Methylamine Using a Symmetry-Adapted, Qubit Excitation-Based Variational Quantum Eigensolver
title_full_unstemmed Simulating Methylamine Using a Symmetry-Adapted, Qubit Excitation-Based Variational Quantum Eigensolver
title_short Simulating Methylamine Using a Symmetry-Adapted, Qubit Excitation-Based Variational Quantum Eigensolver
title_sort simulating methylamine using a symmetry adapted qubit excitation based variational quantum eigensolver
topic quantum computing
quantum chemistry
variational algorithms
vqe
variational ansatz
url https://www.mdpi.com/2624-960X/7/2/21
work_keys_str_mv AT konstantinmmakushin simulatingmethylamineusingasymmetryadaptedqubitexcitationbasedvariationalquantumeigensolver
AT alekseykfedorov simulatingmethylamineusingasymmetryadaptedqubitexcitationbasedvariationalquantumeigensolver