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Introduction

Steven Herbert

Published Dec 8, 2025• 0 citations
Publisher

Abstract

Abstract The introduction to quantum computing foundations and practice motivates why quantum mechanics provides a model of computation that one should care about, and outlines the most important results in the field of quantum computing. In particular, the introduction gives details on the scope of the book, which is to provide a suitable and up-to-date canon of quantum algorithms along with important results establishing the real-world feasibility of building quantum computers. The introduction also discusses the double-slit experiment and the celebrated thought experiment Schrödinger’s cat to introduce the important quantum mechanical concepts of superposition, interferences, quantum measurement, and entanglement.

DOI
10.1093/9780191964381.003.0001

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Abstract The introduction to quantum computing foundations and practice motivates why quantum mechanics provides a model of computation that one should care about, and outlines the most important results in the field of quantum computing. In particular, the introduction gives details on the scope of the book, which is to provide a suitable and up-to-date canon of quantum algorithms along with important results establishing the real-world feasibility of building quantum computers. The introduction also discusses the double-slit experiment and the celebrated thought experiment Schrödinger’s cat to introduce the important quantum mechanical concepts of superposition, interferences, quantum measurement, and entanglement.
"Introduction to Quantum Mechanics And Quantum Computing" is a comprehensive book chapter that provides an in-depth exploration of the groundbreaking field of quantum computing. Beginning with an introduction to the fundamental principles of quantum mechanics, the chapter navigates through the evolution of quantum computing, from its conceptual origins to the challenges faced in its development. The core concepts of quantum bits (qubits) and their unique properties, such as entanglement and superposition, are explained, laying the foundation for understanding quantum information processing. The chapter further delves into the building blocks of quantum computing—qubits—detailing their diverse physical implementations. Quantum gates and circuits, analogous to classical computing, are explored, shedding light on the mechanisms enabling quantum algorithms to perform complex tasks efficiently. Highlighting renowned algorithms like Shor's and Grover's, the chapter emphasizes the potential computational supremacy of quantum computers over classical counterparts. Recognizing the sensitivity of quantum systems to noise and decoherence, the chapter introduces quantum error correction as a crucial aspect of ensuring reliable quantum computation. The exploration concludes with an examination of the current state of quantum computing, outlining progress in industry and academia while addressing the challenges in building large-scale, fault-tolerant quantum computers. The potential applications of quantum computing in cryptography, drug discovery, optimization problems, and beyond are discussed, offering a glimpse into the transformative impact this emerging technology may have on various industries. "Introduction to Quantum Mechanics And Quantum Computing" serves as a comprehensive guide for readers seeking a nuanced understanding of the theoretical foundations and practical applications of quantum computing.
Quantum computing has emerged as one of the most transformative technological developments of the twenty-first century. By exploiting the fundamental principles of quantum mechanics—namely superposition, entanglement, and measurement—quantum computers offer the potential to address problems that are beyond the practical reach of classical computing systems. As the field advances from theoretical exploration to real-world implementation, the demand for clear, structured, and comprehensive educational resources continues to grow. This book presents a systematic and accessible introduction to quantum computing, beginning with the essential concepts of classical information and computation and progressively advancing toward modern quantum algorithms and communication protocols. The initial chapters establish a strong foundation in classical bits, logic gates, Boolean algebra, reversible logic, and computational complexity, providing the conceptual bridge necessary to understand quantum computation. The discussion then moves to the quantum bit (qubit), examining its behavior through superposition, measurement, Bloch sphere representation, and physical realization. Special emphasis is placed on linear algebra as the mathematical framework underpinning quantum computing. Through this approach, readers are guided to develop an intuitive yet rigorous understanding of quantum states, quantum gates, and circuit-based computation. The text further extends these ideas to multi-qubit systems, quantum entanglement, universal gate sets, and quantum error correction, integrating theoretical principles with practical insights. To support experiential learning, the book incorporates hands-on exposure to leading quantum programming platforms, including IBM Quantum, OpenQASM, and Qiskit. These sections connect theory with practice, enabling readers to design, simulate, and execute quantum circuits on both simulators and real quantum hardware. Subsequent chapters explore key quantum communication protocols such as superdense coding, quantum teleportation, and quantum key distribution, followed by an in-depth treatment of foundational quantum algorithms including Deutsch–Jozsa, Grover’s search, Simon’s algorithm, and Shor’s factoring algorithm. This text is intended for undergraduate and postgraduate students, research scholars, and industry professionals seeking a coherent and structured pathway into quantum computing. No prior knowledge of quantum mechanics is assumed, although familiarity with linear algebra and classical computation will enhance comprehension. Each chapter is carefully organized to promote conceptual clarity, supported by illustrative examples, circuit diagrams, and concise summaries. Beyond explaining the principles and mechanisms of quantum computation, this book aims to inspire readers to engage with the future of the field—whether through academic research, industrial application, or interdisciplinary innovation. As quantum technologies continue to evolve, it is hoped that this text will serve as a dependable guide and a meaningful entry point into the quantum era.
Quantum computing has emerged as one of the most transformative technological developments of the twenty-first century. By exploiting the fundamental principles of quantum mechanics—namely superposition, entanglement, and measurement—quantum computers offer the potential to address problems that are beyond the practical reach of classical computing systems. As the field advances from theoretical exploration to real-world implementation, the demand for clear, structured, and comprehensive educational resources continues to grow. This book presents a systematic and accessible introduction to quantum computing, beginning with the essential concepts of classical information and computation and progressively advancing toward modern quantum algorithms and communication protocols. The initial chapters establish a strong foundation in classical bits, logic gates, Boolean algebra, reversible logic, and computational complexity, providing the conceptual bridge necessary to understand quantum computation. The discussion then moves to the quantum bit (qubit), examining its behavior through superposition, measurement, Bloch sphere representation, and physical realization. Special emphasis is placed on linear algebra as the mathematical framework underpinning quantum computing. Through this approach, readers are guided to develop an intuitive yet rigorous understanding of quantum states, quantum gates, and circuit-based computation. The text further extends these ideas to multi-qubit systems, quantum entanglement, universal gate sets, and quantum error correction, integrating theoretical principles with practical insights. To support experiential learning, the book incorporates hands-on exposure to leading quantum programming platforms, including IBM Quantum, OpenQASM, and Qiskit. These sections connect theory with practice, enabling readers to design, simulate, and execute quantum circuits on both simulators and real quantum hardware. Subsequent chapters explore key quantum communication protocols such as superdense coding, quantum teleportation, and quantum key distribution, followed by an in-depth treatment of foundational quantum algorithms including Deutsch–Jozsa, Grover’s search, Simon’s algorithm, and Shor’s factoring algorithm. This text is intended for undergraduate and postgraduate students, research scholars, and industry professionals seeking a coherent and structured pathway into quantum computing. No prior knowledge of quantum mechanics is assumed, although familiarity with linear algebra and classical computation will enhance comprehension. Each chapter is carefully organized to promote conceptual clarity, supported by illustrative examples, circuit diagrams, and concise summaries. Beyond explaining the principles and mechanisms of quantum computation, this book aims to inspire readers to engage with the future of the field—whether through academic research, industrial application, or interdisciplinary innovation. As quantum technologies continue to evolve, it is hoped that this text will serve as a dependable guide and a meaningful entry point into the quantum era.
This book, Quantum Computing: Algorithms, Architectures and Applications, has been carefully developed as a comprehensive resource to navigate the dynamic and complex world of quantum technologies. Intended for students, researchers, engineers, and technology enthusiasts, it aims to connect fundamental concepts with real-world implementation. The journey begins with the core principles of quantum mechanics relevant to computing, laying the groundwork that differentiates quantum systems from classical approaches. It further explores quantum gates, circuits, and computational logic, along with key topics such as error correction, system architectures, entanglement, superposition, and the no-cloning theorem. As the discussion progresses, the book examines foundational quantum algorithms, including the Deutsch–Jozsa algorithm, Simon’s problem, and others. These sections not only explain technical concepts but also encourage readers to rethink computational possibilities and limitations. The book also highlights practical applications and industry adoption. Quantum computing is increasingly influencing fields such as cryptography, finance, drug discovery, and climate science. Through global and regional case studies, readers gain insight into how various sectors are embracing this technological shift. A clear and structured approach has been maintained throughout, making the content accessible to beginners while still valuable for experienced professionals. The aim is to balance depth with clarity, ensuring both rigor and ease of understanding. While quantum computing continues to evolve with ongoing advancements and discoveries, the driving forces behind its progress remain curiosity, innovation, and collaboration.
Quantum computing is redefining computational boundaries, offering solutions to complex problems that classical computing struggles to address. A deep understanding of quantum principles, algorithms, and practical tools is essential for professionals and researchers navigating this transformative technology. Quantum computing is no longer a distant dream—it is rapidly becoming a cornerstone of modern innovation. This book provides a structured introduction to quantum computing, covering foundational principles such as superposition and entanglement, quantum gates, and circuits. Readers will gain hands-on experience with Qiskit and IBM Q, explore quantum error correction, and understand the real-world applications of quantum computing across industries. Alongside theoretical concepts, readers are introduced to hands-on quantum programming using Qiskit and IBM Q. The book also addresses practical challenges like quantum error correction and showcases real-world applications across industries, including cybersecurity, artificial intelligence, and material science. By the end of this book, readers will have a solid grasp of quantum computing fundamentals and hands-on experience with practical tools. Equipped with both conceptual understanding and hands-on experience, readers will be prepared to contribute meaningfully to research, solve industry-relevant problems, and engage confidently with the rapidly evolving field of quantum computing. --
Quantum Computing: Principles, Algorithms, Technologies and Applications provides a comprehensive introduction to the rapidly developing field of quantum computing. The book explains the fundamental principles of quantum information and connects quantum theory with algorithms, hardware, programming, security, and real-world applications. Beginning with the fundamentals of qubits, superposition, measurement, interference, and entanglement, the book gradually introduces the mathematical concepts required to understand quantum computation. It covers quantum gates and circuits, major quantum algorithms such as Grover’s algorithm, Quantum Fourier Transform, Quantum Phase Estimation, and Shor’s algorithm, along with their computational significance. The book also explores modern quantum computing technologies, including superconducting qubits, trapped ions, photonic systems, neutral atoms, semiconductor spin qubits, and quantum annealing. Readers are introduced to quantum programming and software concepts, quantum simulators, circuit compilation, hybrid quantum-classical computing, and practical quantum development workflows. A dedicated discussion of quantum error correction, fault-tolerant computing, quantum cryptography, quantum key distribution, and post-quantum cryptography explains how quantum technologies influence cybersecurity and secure communication. The book further examines applications of quantum computing in optimization, artificial intelligence, chemistry, drug discovery, finance, materials science, and other emerging areas. Designed for students, researchers, educators, engineers, and technology enthusiasts, this book provides a structured foundation for understanding both the theoretical principles and practical technologies of quantum computing. It also discusses current challenges, scalability, quantum advantage, and future directions toward fault-tolerant and large-scale quantum computing.