Introducing Reduced-Width QNNs, an AI-inspired Ansatz Design Pattern

Fuente: arXiv
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Main Authors: Stein, Jonas, Rohe, Tobias, Nappi, Francesco, Hager, Julian, Bucher, David, Zorn, Maximilian, Kölle, Michael, Linnhoff-Popien, Claudia
Format: Preprint
Published: 2023
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_version_ 1866914721769193472
author Stein, Jonas
Rohe, Tobias
Nappi, Francesco
Hager, Julian
Bucher, David
Zorn, Maximilian
Kölle, Michael
Linnhoff-Popien, Claudia
author_facet Stein, Jonas
Rohe, Tobias
Nappi, Francesco
Hager, Julian
Bucher, David
Zorn, Maximilian
Kölle, Michael
Linnhoff-Popien, Claudia
contents Variational Quantum Algorithms are one of the most promising candidates to yield the first industrially relevant quantum advantage. Being capable of arbitrary function approximation, they are often referred to as Quantum Neural Networks (QNNs) when being used in analog settings as classical Artificial Neural Networks (ANNs). Similar to the early stages of classical machine learning, known schemes for efficient architectures of these networks are scarce. Exploring beyond existing design patterns, we propose a reduced-width circuit ansatz design, which is motivated by recent results gained in the analysis of dropout regularization in QNNs. More precisely, this exploits the insight, that the gates of overparameterized QNNs can be pruned substantially until their expressibility decreases. The results of our case study show, that the proposed design pattern can significantly reduce training time while maintaining the same result quality as the standard "full-width" design in the presence of noise.
format Preprint
id arxiv_https___arxiv_org_abs_2306_05047
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Introducing Reduced-Width QNNs, an AI-inspired Ansatz Design Pattern
Stein, Jonas
Rohe, Tobias
Nappi, Francesco
Hager, Julian
Bucher, David
Zorn, Maximilian
Kölle, Michael
Linnhoff-Popien, Claudia
Quantum Physics
Emerging Technologies
Variational Quantum Algorithms are one of the most promising candidates to yield the first industrially relevant quantum advantage. Being capable of arbitrary function approximation, they are often referred to as Quantum Neural Networks (QNNs) when being used in analog settings as classical Artificial Neural Networks (ANNs). Similar to the early stages of classical machine learning, known schemes for efficient architectures of these networks are scarce. Exploring beyond existing design patterns, we propose a reduced-width circuit ansatz design, which is motivated by recent results gained in the analysis of dropout regularization in QNNs. More precisely, this exploits the insight, that the gates of overparameterized QNNs can be pruned substantially until their expressibility decreases. The results of our case study show, that the proposed design pattern can significantly reduce training time while maintaining the same result quality as the standard "full-width" design in the presence of noise.
title Introducing Reduced-Width QNNs, an AI-inspired Ansatz Design Pattern
topic Quantum Physics
Emerging Technologies
url https://arxiv.org/abs/2306.05047