Quantum Implicit Neural Representations

• URL: http://arxiv.org/abs/2406.03873v3
• Date: Sun, 1 Sep 2024 09:56:44 GMT
• Title: Quantum Implicit Neural Representations
• Authors: Jiaming Zhao, Wenbo Qiao, Peng Zhang, Hui Gao,
• Abstract summary: Implicit neural representations have emerged as a powerful paradigm to represent signals such as images and sounds. Traditional neural networks face challenges in accurately modeling high-frequency components of signals. We propose Quantum Implicit Representation Network (QIREN), a novel quantum generalization of FNNs.
• Score: 4.2216663697289665
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Implicit neural representations have emerged as a powerful paradigm to represent signals such as images and sounds. This approach aims to utilize neural networks to parameterize the implicit function of the signal. However, when representing implicit functions, traditional neural networks such as ReLU-based multilayer perceptrons face challenges in accurately modeling high-frequency components of signals. Recent research has begun to explore the use of Fourier Neural Networks (FNNs) to overcome this limitation. In this paper, we propose Quantum Implicit Representation Network (QIREN), a novel quantum generalization of FNNs. Furthermore, through theoretical analysis, we demonstrate that QIREN possesses a quantum advantage over classical FNNs. Lastly, we conducted experiments in signal representation, image superresolution, and image generation tasks to show the superior performance of QIREN compared to state-of-the-art (SOTA) models. Our work not only incorporates quantum advantages into implicit neural representations but also uncovers a promising application direction for Quantum Neural Networks.

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