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Medical image classification via quantum neural networks (2109.01831v2)

Published 4 Sep 2021 in quant-ph

Abstract: Machine Learning provides powerful tools for a variety of applications, including disease diagnosis through medical image classification. In recent years, quantum machine learning techniques have been put forward as a way to potentially enhance performance in machine learning applications, both through quantum algorithms for linear algebra and quantum neural networks. In this work, we study two different quantum neural network techniques for medical image classification: first by employing quantum circuits in training of classical neural networks, and second, by designing and training quantum orthogonal neural networks. We benchmark our techniques on two different imaging modalities, retinal color fundus images and chest X-rays. The results show the promises of such techniques and the limitations of current quantum hardware.

Citations (36)

Summary

  • The paper introduces two QNN methods that integrate quantum circuits with classical training, achieving comparable accuracy in medical image classification.
  • The paper demonstrates quantum orthogonal neural networks that enforce weight orthogonality, reducing training complexity from cubic to quadratic time.
  • The paper benchmarks these hybrid models on MedMNIST, revealing hardware limitations while highlighting promising avenues for quantum-accelerated machine learning.

An Analysis of Quantum Neural Networks for Medical Image Classification

The paper "Medical Image Classification via Quantum Neural Networks" investigates the application of Quantum Neural Networks (QNNs) in the domain of medical image classification, specifically focusing on retinal color fundus images and chest X-rays. The paper presents two distinctive QNN methodologies: the utilization of quantum circuits to complement classical neural networks’ training processes and a novel approach involving quantum orthogonal neural networks.

Quantum-Assisted Neural Networks

The first method leverages quantum circuits to aid the training and inference phases of classical neural networks. By implementing quantum procedures to approximate matrix operations, these circuits are integrated within the neural network architecture to potentially improve computational efficiency. Experiments demonstrate that, for certain tasks, quantum circuits can achieve accuracies equivalent to classical methods, albeit within the limits of contemporary quantum hardware. A significant finding is that quantum-assisted models might mimic noise-injected classical networks, potentially enhancing model robustness, especially with smaller datasets.

Quantum Orthogonal Neural Networks

The second approach capitalizes on quantum orthogonality—leveraging inherent properties of quantum operations described by unitary matrices to enforce orthogonality in weight matrices within neural networks. Orthogonal networks can better mitigate issues like vanishing gradients, which are prevalent in deep learning. The paper introduces an efficient training mechanism for these networks, which significantly reduces the computational complexity from cubic to quadratic time concerning the network size. This marks a substantial improvement over traditional orthogonal network training, which relies heavily on singular value decomposition.

Benchmarking on MedMNIST

Datasets from the MedMNIST collection were utilized for benchmarking these quantum methodologies. Through rigorous experimentation on IBM’s superconducting quantum computers, the authors showcased that, while comparable accuracy with classical equivalents was achieved in simulations, limitations of existing quantum hardware, particularly regarding connectivity and depth, pose a challenge. It's evident that the quantum simulations achieved performance parity with classical networks, but the actual hardware performance suffered due to noise and limited qubit quality.

Implications and Future Prospects

This paper’s implications span theoretical and practical dimensions. Theoretically, the use of quantum properties for enforcing constraints like orthogonality in neural networks presents exciting avenues for future research. Practically, as quantum hardware matures, these QNN methodologies could contribute to more efficient and potentially novel ways of performing complex medical image classification tasks. The research prompts further exploration into hybrid quantum-classical architectures and highlights the need for enhanced hardware capabilities to realize the full potential of quantum computing in machine learning.

The authors recognize that although today's resources limit practical applications, ongoing advancements in quantum technologies could soon augment the scalability and efficiency of neural network training and inference. This work underscores the promising yet evolving intersection of quantum computing and machine learning, urging continual exploration to unlock new capabilities and efficiencies in computational efforts across various domains.

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