Learn Quantum Computing Book 02: QUANTUM ALGORITHMS: Understand the Algorithmic Foundations of Quantum Processing

LEARN QUANTUM COMPUTING BOOK 02: QUANTUM ALGORITHMS Understand the Algorithmic Foundations of Quantum Processing

This edition continues the Quantum Computing series, deepening the logic, structure, and resources of the main quantum algorithms. Using accessible and objective language, the book connects algorithmic foundations, quantum circuits, computational complexity, and modern spectral processing techniques.

The content covers oracles, phase kickback, Grover, Simon, Shor, Quantum Fourier Transform, Quantum Phase Estimation, Amplitude Estimation, Quantum Walks, Hamiltonian simulation, and HHL. It also addresses VQE, VQD, ADAPT-VQE, QAOA, and Quantum Machine Learning, advancing to block encoding, qubitization, Quantum Signal Processing, and QSVT.

The analysis considers not only the mathematical operation of the algorithms, but also query complexity, circuit depth, number of qubits, measurements, state preparation, NISQ limitations, and fault-tolerant computing requirements.

The reader will understand:

• Architecture and primitives of quantum algorithms * Grover, Simon, Shor, and query algorithms * QFT, QPE, and Amplitude Estimation * Quantum Walks and Hamiltonian simulation * HHL and quantum linear algebra * VQE, VQD, ADAPT-VQE, and QAOA * Quantum Machine Learning and quantum kernels * Block encoding, qubitization, QSP, and QSVT * Complexity, resources, NISQ, and fault tolerance

A structured view of the mechanisms that support algorithmic quantum computing, connecting search, periodicity, simulation, optimization, Machine Learning, and spectral transformations without separating theoretical performance from the resources required for execution.