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Quantum Machine Learning

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Quantum Fourier Transform (QFT)

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QFT is applied in quantum ML for analyzing periodicities in the data, encoding and estimating quantum states' amplitudes which can be useful for pattern recognition tasks.

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Quantum Principal Component Analysis (QPCA)

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QPCA is an algorithm that extends PCA to quantum computing, allowing for the potential exponential speedup in dimensionality reduction tasks by preparing and measuring quantum states.

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Quantum Discriminative Learning

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Quantum discriminative learning algorithms aim to classify new inputs based on a learned decision boundary, taking advantage of quantum parallelism and entanglement to improve performance.

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Adiabatic Quantum Computing

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In quantum ML, adiabatic quantum computing can be harnessed to encode and solve optimization problems by slowly evolving the state of the quantum system to stay in its lowest energy state.

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Density Matrix Renormalization Group (DMRG)

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In quantum ML, the DMRG method is extended to efficiently deal with quantum data and extract features or train models that are otherwise intractable with classical methods.

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Quantum Reinforcement Learning

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Quantum reinforcement learning leverages quantum computing to enhance the decision-making process, which may lead to speedups in learning optimal policies for complex environments in ML applications.

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Amplitude Amplification

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In quantum ML, amplitude amplification can be used to enhance the probability of successful outcomes of quantum measurements, thereby potentially improving algorithms' effectiveness in statistical learning.

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Quantum Feature Mapping

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Quantum feature mapping involves encoding classical data into the high-dimensional Hilbert space of a quantum system to reveal complex structures and relationships, potentially leading to more powerful ML models.

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Quantum Kernel Methods

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Quantum kernel methods use the Hilbert space of a quantum computer to compute similarity measures (kernels) between data points, which can lead to more complex feature mappings and potential speedups in ML tasks.

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Quantum Boltzmann Machine

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Quantum Boltzmann machines exploit quantum computation to solve problems in generative modeling and feature learning, potentially enhancing the efficiency and capacity of classical Boltzmann machines.

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Quantum Circuit Learning

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Quantum circuit learning applies parametrized quantum circuits to learn a model based on given data and measurement outcomes, posing as a powerful method for classifications and regression tasks.

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Quantum Clustering

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Quantum clustering employs quantum algorithms to perform clustering analysis on data, potentially allowing for enhanced pattern recognition and segmentation in large feature spaces.

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Quantum Annealing

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Quantum annealing is used in quantum ML to solve optimization problems by finding the ground state of a quantum system which encodes the solution to the optimization problem.

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Variational Quantum Eigensolver (VQE)

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VQE is used to approximate the ground state energy of a Hamiltonian, which can be applied to molecular simulations in quantum ML for creating new materials or drugs.

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Quantum Support Vector Machine (QSVM)

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QSVM leverages quantum computing to perform classical support vector machine tasks more efficiently, offering speedups for large datasets with complex decision boundaries.

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Quantum Neural Networks (QNNs)

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QNNs represent an extension of classical neural networks into the quantum domain, promising to exponentially increase the computational power for complex problem solving and feature detection in large datasets.

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Swap Test

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The swap test is used in quantum ML to estimate the fidelity between two quantum states, valuable for tasks like clustering or measuring similarities between quantum-encoded data points.

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Quantum Genetic Algorithms

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Quantum genetic algorithms apply principles of quantum mechanics to improve traditional genetic algorithms, potentially leading to faster convergence and better exploration of problem's solution space.

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Quantum Feature Selection

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Quantum feature selection utilizes quantum computing to select the most relevant features for a given machine learning model, aiming to improve the efficiency and accuracy of the learning process.

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Grover's Algorithm

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Grover's algorithm can be utilized in quantum ML to search unsorted databases with a quadratic speedup, which can be adapted for optimization and learning tasks in unstructured datasets.

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