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International Conference On Smart Technologies For Smart Nation (SmartTechCon)

Quantum Machine Learning Approach for Eigen Solving and Fourier Series Analysis

Vempati Laxmisai Krishna Vasista, Bhupathi Sahithi, Katta Sona, T. K. Rama Krishna Rao, Jahnavi Pedarla, Kolla Bhanu Prakash

Published Aug 18, 2023• 1 citation
Publisher

Abstract

When parametrized quantum circuits are viewed as models that translate data inputs into predictions, quantum computers can be utilized for supervised learning. Many crucial theoretical aspects of these models remain unknown, even though considerable work has been done to understand the practical consequences of this method. Quantum models can access richer and richer frequency spectra by repeatedly repeating straightforward data-encoding gates. Since simulation time increases exponentially, simulation-based training cannot be used to big QML models. Variational quantum algorithms and quantum GAN are expected to give the best results if applied for different health care applications in microseconds. The present work explains how QML can be applied for variational quantum eigen solving. This paper also explains quantum Fourier transform analysis.

DOI
10.1109/smarttechcon57526.2023.10391433

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Quantum Machine Learning (QML) is the convergence of two cutting-edge technologies—quantum computing and artificial intelligence—dedicated to rewriting computational horizons of pattern recognition, optimization, and prediction based on data. The present chapter is an introductory tutorial and cutting-edge coverage of theory foundations, algorithmic developments, and pedagogical models needed to bring QML into secondary and undergraduate classrooms. We then dispel magic from fundamental quantum-computing concepts such as qubits, superposition, entanglement, and quantum gates and demonstrate how they enable quantum algorithms such as the Quantum Fourier Transform, amplitude amplification, variational circuits, and quantum support-vector machines. From these building blocks, the chapter follows classical machine-learning pipelines—data encoding, feature extraction, model training, inference, and evaluation—and demonstrates how they map to their quantum equivalents, with emphasis on hybrid quantum-classical paradigms that are implementable on near-term noisy intermediate-scale quantum (NISQ) devices.