DisQu: Investigating the Impact of Disorder in Quantum Generative Models

Fuente: arXiv
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Hauptverfasser: Werner, Yannick, Frkatovic, Jasmin, Rey, Vitor Fortes, Tschöpe, Matthias, Suh, Sungho, Lukowicz, Paul, Palaiodimopoulos, Nikolaos, Kiefer-Emmanouilidis, Maximilian
Format: Preprint
Veröffentlicht: 2024
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author Werner, Yannick
Frkatovic, Jasmin
Rey, Vitor Fortes
Tschöpe, Matthias
Suh, Sungho
Lukowicz, Paul
Palaiodimopoulos, Nikolaos
Kiefer-Emmanouilidis, Maximilian
author_facet Werner, Yannick
Frkatovic, Jasmin
Rey, Vitor Fortes
Tschöpe, Matthias
Suh, Sungho
Lukowicz, Paul
Palaiodimopoulos, Nikolaos
Kiefer-Emmanouilidis, Maximilian
contents Disordered Quantum many-body Systems (DQS) and Quantum Neural Networks (QNN) have many structural features in common. However, a DQS is essentially an initialized QNN with random weights, often leading to non-random outcomes. In this work, we emphasize the possibilities of random processes being a deceptive quantum-generating model effectively hidden in a QNN. When we choose weights in a QNN randomly the unitarity property of quantum gates is unchanged. As we show, this can lead to memory effects with multiple consequences on the learnability and trainability of QNN one would not expect from a classical neural network with random weights. This phenomenon may lead to a fundamental misunderstanding of the capabilities of common quantum generative models, where the generation of new samples is essentially averaging over random outputs. While we suggest that DQS can be effectively used for tasks like image augmentation, we draw the attention that overly simple datasets are often used to show the generative capabilities of quantum models, potentially leading to overestimation of their effectiveness.
format Preprint
id arxiv_https___arxiv_org_abs_2409_16180
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle DisQu: Investigating the Impact of Disorder in Quantum Generative Models
Werner, Yannick
Frkatovic, Jasmin
Rey, Vitor Fortes
Tschöpe, Matthias
Suh, Sungho
Lukowicz, Paul
Palaiodimopoulos, Nikolaos
Kiefer-Emmanouilidis, Maximilian
Disordered Systems and Neural Networks
Disordered Quantum many-body Systems (DQS) and Quantum Neural Networks (QNN) have many structural features in common. However, a DQS is essentially an initialized QNN with random weights, often leading to non-random outcomes. In this work, we emphasize the possibilities of random processes being a deceptive quantum-generating model effectively hidden in a QNN. When we choose weights in a QNN randomly the unitarity property of quantum gates is unchanged. As we show, this can lead to memory effects with multiple consequences on the learnability and trainability of QNN one would not expect from a classical neural network with random weights. This phenomenon may lead to a fundamental misunderstanding of the capabilities of common quantum generative models, where the generation of new samples is essentially averaging over random outputs. While we suggest that DQS can be effectively used for tasks like image augmentation, we draw the attention that overly simple datasets are often used to show the generative capabilities of quantum models, potentially leading to overestimation of their effectiveness.
title DisQu: Investigating the Impact of Disorder in Quantum Generative Models
topic Disordered Systems and Neural Networks
url https://arxiv.org/abs/2409.16180