Titlebook: Concise Guide to Quantum Machine Learning; Davide Pastorello Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive li

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Basics of Quantum Mechanics,as electrons and photons. Classical mechanics based on the Newton‘s principles of dynamics and the classical electromagnetism based on Maxwell‘s equations do not work to describe microscopic physical systems. For instance, the classical electromagnetism does not provide the stability of the hydrogen

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Basics of Quantum Computing,s. It is the most prominent application of quantum information theory and delivers algorithms to solve efficiently some problems which are hard for classical computers. This chapter is focused on the fundamentals of quantum computing like the abstract notion of a universal quantum computer and the c

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Relevant Quantum Algorithms,g schemes. In particular, the quantum Fourier transform is a quantum implementation of the discrete Fourier transform [Co94], Grover’s algorithm and amplitude amplification are quantum search algorithms in an unsorted database [Gr96, BH97], the phase estimation algorithm allows to estimate the eigen

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QML Toolkit,echnical tools that are widely used in QML. The quantum random access memory (QRAM) is a model for the efficient retrieval of quantum states encoding data, a procedure of Hamiltonian simulation is crucial for some QML algorithms that we describe in the following, the SWAP test and the quantum calcul

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Quantum Classification,labelled (classified) data. In this section we introduce some quantum algorithms to make predictions on labels of previously unseen data instances: two examples of quantum distance based classifiers, a quantum versions of the k-nearest neighbors algorithm, and the quantum support vector machine. Mor

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Quantum Neural Networks,eurons, roughly resembling a biological brain. A neural network is characterized by the way its neurons are connected and by the weights of the connections. The weights are optimized during the training in order to accomplish a desired task. The term quantum neural networks may refer to artificial n

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