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.
quantum computing, quantum algorithms, qubit, Grover, Shor, Deutsch-Jozsa, Bernstein-Vazirani, Simon, Quantum Fourier Transform, QFT, Quantum Phase Estimation, QPE, Amplitude Estimation, Quantum Walks, Hamiltonian simulation, HHL, VQE, VQD, ADAPT-VQE, QAOA, Quantum Machine Learning, quantum kernels, QNN, block encoding, qubitization, Quantum Signal Processing, QSP, QSVT, NISQ, fault-tolerant computing
Diego Rodrigues
Technical Author and Independent Researcher
ORCID: https://orcid.org/0009-0006-
StudioD21 Smart Tech Content & Intell Systems
Email: studiod21portoalegre@gmail.com
LinkedIn: linkedin.com/in/diegoexpertai
International technical author (tech writer) focused on the structured production of applied knowledge. He is the founder of StudioD21 Smart Tech Content & Intell Systems, where he leads the creation of intelligent frameworks and the publication of didactic technical books supported by artificial intelligence, such as the Kali Linux Extreme series, SMARTBOOKS D21, among others.
Holder of 48 international certifications issued by institutions such as IBM, Google, Microsoft, AWS, Cisco, META, Ec-Council, Palo Alto, and Boston University, he works in the fields of Artificial Intelligence, Machine Learning, Data Science, Big Data, Blockchain, Connectivity Technologies, Ethical Hacking, and Threat Intelligence.
Since 2003, he has developed more than 200 technical projects for brands in Brazil, the USA, and Mexico. In 2024, he established himself as one of the leading technical book authors of the new generation, with over 180 titles published in six languages. His work is based on his proprietary TECHWRITE 2.3 applied technical writing protocol, focused on scalability, conceptual precision, and practical applicability in professional environments.