Construction of Chemistry Inspired Dynamic Ansatz Utilizing Generative Machine Learning

Fuente: arXiv
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Main Authors: Halder, Sonaldeep, Anand, Kartikey, Maitra, Rahul
Format: Preprint
Published: 2025
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author Halder, Sonaldeep
Anand, Kartikey
Maitra, Rahul
author_facet Halder, Sonaldeep
Anand, Kartikey
Maitra, Rahul
contents Generative machine learning models like the Restricted Boltzmann Machine (RBM) provide a practical approach for ansatz construction within the quantum computing framework. This work introduces a method that efficiently leverages RBM and many-body perturbative measures to build a compact chemistry-inspired ansatz for determining accurate molecular energetics. By training on low-rank determinants derived from an approximate wavefunction, RBM predicts the key high-rank determinants that dominate the ground-state wavefunction. A shallow depth ansatz is constructed to explicitly incorporate these dominant determinants after dynamically decomposing them into low-rank components and applying many-body perturbative measures for further screening. The method requires no additional measurements beyond the initial training phase. Moreover, it incorporates Bayesian hyperparameter optimization for the RBM, ensuring efficient performance with minimal training data during its limited usage. This approach facilitates the efficient computation of molecular properties, paving the way for exploring new chemical phenomena with near-term quantum computers.
format Preprint
id arxiv_https___arxiv_org_abs_2503_08149
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Construction of Chemistry Inspired Dynamic Ansatz Utilizing Generative Machine Learning
Halder, Sonaldeep
Anand, Kartikey
Maitra, Rahul
Chemical Physics
Generative machine learning models like the Restricted Boltzmann Machine (RBM) provide a practical approach for ansatz construction within the quantum computing framework. This work introduces a method that efficiently leverages RBM and many-body perturbative measures to build a compact chemistry-inspired ansatz for determining accurate molecular energetics. By training on low-rank determinants derived from an approximate wavefunction, RBM predicts the key high-rank determinants that dominate the ground-state wavefunction. A shallow depth ansatz is constructed to explicitly incorporate these dominant determinants after dynamically decomposing them into low-rank components and applying many-body perturbative measures for further screening. The method requires no additional measurements beyond the initial training phase. Moreover, it incorporates Bayesian hyperparameter optimization for the RBM, ensuring efficient performance with minimal training data during its limited usage. This approach facilitates the efficient computation of molecular properties, paving the way for exploring new chemical phenomena with near-term quantum computers.
title Construction of Chemistry Inspired Dynamic Ansatz Utilizing Generative Machine Learning
topic Chemical Physics
url https://arxiv.org/abs/2503.08149