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Variational Quantum Computing for Quantum Simulation: Principles, Implementations, and Challenges

delete2025-12-06
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PRE
AI
L
Lucas Q. Galvão
A
Anna Beatriz M. de Souza
M
Marcelo A. Moret
C
Clebson Cruz *
DOI:10.1007/s13538-025-01946-zdelete
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Abstract

Abstract

En 中文
This work presents a comprehensive overview of variational quantum computing and their key role in advancing quantum simulation. This work explores the simulation of quantum systems and sets itself apart from approaches centered on classical data processing, by focusing on the critical role of quantum data in Variational Quantum Algorithms (VQA) and Quantum Machine Learning (QML). We systematically delineate the foundational principles of variational quantum computing, establish their motivational and challenges context within the noisy intermediate-scale quantum (NISQ) era, and critically examine their application across a range of prototypical quantum simulation problems. Operating within a hybrid quantum-classical framework, these algorithms represent a promising yet problem-dependent pathway whose practicality remains contingent on trainability and scalability under noise and barren-plateau constraints. This review serves to complement and extend existing literature by synthesizing the most recent advancements in the field and providing a focused perspective on the persistent challenges and emerging opportunities that define the current landscape of variational quantum computing for quantum simulation.
Keywords:
Variational quantum computing
Variational quantum algorithms
Quantum machine learning
Quantum simulation

Journal

Brazilian Journal of Physics cover
Brazilian Journal of Physics
IF:
1.7
Papers:
220
Citations:
2.3K

Organization

U
Universidade Federal do Oeste da Bahia
Scholars:
5
Papers: 4
Citations: 0
F
faculdade de tecnologia senai cimatec
Scholars:
240
Papers: 110
Citations: 0