Neural-network quantum states for many-body physics

Fuente: arXiv
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Autores principales: Medvidović, Matija, Moreno, Javier Robledo
Formato: Preprint
Publicado: 2024
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author Medvidović, Matija
Moreno, Javier Robledo
author_facet Medvidović, Matija
Moreno, Javier Robledo
contents Variational quantum calculations have borrowed many tools and algorithms from the machine learning community in the recent years. Leveraging great expressive power and efficient gradient-based optimization, researchers have shown that trial states inspired by deep learning problems can accurately model many-body correlated phenomena in spin, fermionic and qubit systems. In this review, we derive the central equations of different flavors variational Monte Carlo (VMC) approaches, including ground state search, time evolution and overlap optimization, and discuss data-driven tasks like quantum state tomography. An emphasis is put on the geometry of the variational manifold as well as bottlenecks in practical implementations. An overview of recent results of first-principles ground-state and real-time calculations is provided.
format Preprint
id arxiv_https___arxiv_org_abs_2402_11014
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Neural-network quantum states for many-body physics
Medvidović, Matija
Moreno, Javier Robledo
Disordered Systems and Neural Networks
Quantum Physics
Variational quantum calculations have borrowed many tools and algorithms from the machine learning community in the recent years. Leveraging great expressive power and efficient gradient-based optimization, researchers have shown that trial states inspired by deep learning problems can accurately model many-body correlated phenomena in spin, fermionic and qubit systems. In this review, we derive the central equations of different flavors variational Monte Carlo (VMC) approaches, including ground state search, time evolution and overlap optimization, and discuss data-driven tasks like quantum state tomography. An emphasis is put on the geometry of the variational manifold as well as bottlenecks in practical implementations. An overview of recent results of first-principles ground-state and real-time calculations is provided.
title Neural-network quantum states for many-body physics
topic Disordered Systems and Neural Networks
Quantum Physics
url https://arxiv.org/abs/2402.11014