Benchmarking Optimizers for Qumode State Preparation with Variational Quantum Algorithms

Fuente: arXiv
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Autori principali: Kan, Shuwen, Palma, Miguel, Du, Zefan, Stein, Samuel A, Liu, Chenxu, Chen, Juntao, Li, Ang, Mao, Ying
Natura: Preprint
Pubblicazione: 2024
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author Kan, Shuwen
Palma, Miguel
Du, Zefan
Stein, Samuel A
Liu, Chenxu
Chen, Juntao
Li, Ang
Mao, Ying
author_facet Kan, Shuwen
Palma, Miguel
Du, Zefan
Stein, Samuel A
Liu, Chenxu
Chen, Juntao
Li, Ang
Mao, Ying
contents Quantum state preparation involves preparing a target state from an initial system, a process integral to applications such as quantum machine learning and solving systems of linear equations. Recently, there has been a growing interest in qumodes due to advancements in the field and their potential applications. However there is a notable gap in the literature specifically addressing this area. This paper aims to bridge this gap by providing performance benchmarks of various optimizers used in state preparation with Variational Quantum Algorithms. We conducted extensive testing across multiple scenarios, including different target states, both ideal and sampling simulations, and varying numbers of basis gate layers. Our evaluations offer insights into the complexity of learning each type of target state and demonstrate that some optimizers perform better than others in this context. Notably, the Powell optimizer was found to be exceptionally robust against sampling errors, making it a preferred choice in scenarios prone to such inaccuracies. Additionally, the Simultaneous Perturbation Stochastic Approximation optimizer was distinguished for its efficiency and ability to handle increased parameter dimensionality effectively.
format Preprint
id arxiv_https___arxiv_org_abs_2405_04499
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Benchmarking Optimizers for Qumode State Preparation with Variational Quantum Algorithms
Kan, Shuwen
Palma, Miguel
Du, Zefan
Stein, Samuel A
Liu, Chenxu
Chen, Juntao
Li, Ang
Mao, Ying
Quantum Physics
Quantum state preparation involves preparing a target state from an initial system, a process integral to applications such as quantum machine learning and solving systems of linear equations. Recently, there has been a growing interest in qumodes due to advancements in the field and their potential applications. However there is a notable gap in the literature specifically addressing this area. This paper aims to bridge this gap by providing performance benchmarks of various optimizers used in state preparation with Variational Quantum Algorithms. We conducted extensive testing across multiple scenarios, including different target states, both ideal and sampling simulations, and varying numbers of basis gate layers. Our evaluations offer insights into the complexity of learning each type of target state and demonstrate that some optimizers perform better than others in this context. Notably, the Powell optimizer was found to be exceptionally robust against sampling errors, making it a preferred choice in scenarios prone to such inaccuracies. Additionally, the Simultaneous Perturbation Stochastic Approximation optimizer was distinguished for its efficiency and ability to handle increased parameter dimensionality effectively.
title Benchmarking Optimizers for Qumode State Preparation with Variational Quantum Algorithms
topic Quantum Physics
url https://arxiv.org/abs/2405.04499