Fundamentals of Quantum Computing

This introductory book on quantum computing includes an emphasis on the development of algorithms. Appropriate for both university students as well as software developers interested in programming a quantum computer, this practical approach to modern quantum computing takes the reader through the required background and up to the latest developments.

Beginning with introductory chapters on the required math and quantum mechanics, Fundamentals of Quantum Computing proceeds to describe four leading qubit modalities and explains the core principles of quantum computing in detail. Providing a step-by-step derivation of math and source code, some of the well-known quantum algorithms are explained in simple ways so the reader can try them either on IBM Q or Microsoft QDK. The book also includes a chapter on adiabatic quantum computing and modern concepts such as topological quantum computing and surface codes.

Features:

o Foundational chapters that build the necessary background on math and quantum mechanics.

o Examples and illustrations throughout provide a practical approach to quantum programming with end-of-chapter exercises.

o Detailed treatment on four leading qubit modalities -- trapped-ion, superconducting transmons, topological qubits, and quantum dots -- teaches how qubits work so that readers can understand how quantum computers work under the hood and devise efficient algorithms and error correction codes. Also introduces protected qubits - 0- qubits, fluxon parity protected qubits, and charge-parity protected qubits.

, such as quantum superposition principle, quantum entanglement, quantum teleportation, no-cloning theorem, quantum parallelism, and quantum interference are explained in detail.

A dedicated chapter on quantum algorithm explores both oracle-based, and Quantum FourierTransform-based algorithms in detail with step-by-step math and working code that runs on IBM QisKit and Microsoft QDK. Topics on EPR Paradox, Quantum Key Distribution protocols, Density Matrix formalism, and Stabilizer formalism are intriguing. While focusing on the universal gate model of quantum computing, this book also introduces adiabatic quantum computing and quantum annealing. This book includes a section on fault-tolerant quantum computing to make the discussions complete. The topics on Quantum Error Correction, Surface codes such as Toric code and Planar code, and protected qubits help explain how fault tolerance can be built at the system level.

While contemporary, this book expects nothing more than a high school level physics, math, and some programming knowledge from its readers. The reader is equipped with adequate knowledge of quantum mechanics and the associated math before advanced topics are introduced Includes detailed math and working code that runs on IBM Q and Microsoft QDK, enabling easy understanding of the well-established algorithms such as Deutsch-Jozsa, Bernstein-Vazirani, Simon's, Quantum Fourier Transform, Shor's, Grover's, Phase estimation, and quantum k-means While the worked-out examples and chapter-end exercises reinforce the concepts, the accompanying illustrations make the learning exciting and easy. A reading guide helps readers pick up the starting point depending upon their background, and fulfill their learning goals with the book. Each chapter ends with a list of references for further reading

Autorentext

Venkateswaran Kasirajan (Venkat) is an Engineering Director at Trimble, Inc., overseeing a high-profile engineering team. By being a part of two startups, Venkat had the opportunity to work on several core technologies and booted the career of hundreds of engineers. He was also involved in several patents.
Before studying computer science and taking up a software engineering career, Venkat studied physics; and currently continues his interest in condensed matter physics. He also researches quantum algorithms and topology, and serves as an internal champion for quantum computing at Trimble Inc. When not working, Venkat is either listening to country music or teaching his daughter while living with his family in Colorado, USA.

Klappentext

This introductory book on quantum computing includes an emphasis on the development of algorithms. Appropriate for both university students as well as software developers interested in programming a quantum computer, this practical approach to modern quantum computing takes the reader through the required background and up to the latest developments. Beginning with introductory chapters on the required math and quantum mechanics, Fundamentals of Quantum Computing proceeds to describe four leading qubit modalities and explains the core principles of quantum computing in detail. Providing a step-by-step derivation of math and source code, some of the well-known quantum algorithms are explained in simple ways so the reader can try them either on IBM Q or Microsoft QDK. The book also includes a chapter on adiabatic quantum computing and modern concepts such as topological quantum computing and surface codes. Features: o Foundational chapters that build the necessary background on math and quantum mechanics. o Examples and illustrations throughout provide a practical approach to quantum programming with end-of-chapter exercises. o Detailed treatment on four leading qubit modalities -- trapped-ion, superconducting transmons, topological qubits, and quantum dots -- teaches how qubits work so that readers can understand how quantum computers work under the hood and devise efficient algorithms and error correction codes. Also introduces protected qubits - 0- qubits, fluxon parity protected qubits, and charge-parity protected qubits. o Principles of quantum computing, such as quantum superposition principle, quantum entanglement, quantum teleportation, no-cloning theorem, quantum parallelism, and quantum interference are explained in detail. A dedicated chapter on quantum algorithm explores both oracle-based, and Quantum FourierTransform-based algorithms in detail with step-by-step math and working code that runs on IBM QisKit and Microsoft QDK. Topics on EPR Paradox, Quantum Key Distribution protocols, Density Matrix formalism, and Stabilizer formalism are intriguing. While focusing on the universal gate model of quantum computing, this book also introduces adiabatic quantum computing and quantum annealing. This book includes a section on fault-tolerant quantum computing to make the discussions complete. The topics on Quantum Error Correction, Surface codes such as Toric code and Planar code, and protected qubits help explain how fault tolerance can be built at the system level.

Zusammenfassung
"The book represents a new and fresh approach to quantum computing, starting with theoretical physical knowledge that is highlighted by beautiful figures. Then, quantum computing is explained by quantum programing languages and extensive languages. It is recommended to everyone interested in quantum computing. It is easy to follow through a beautiful and clear presentation, programming examples and additional exercises." (Andreas Wichert, zbMATH 1477.68005, 2022)

Inhalt
PART ONE.- 1 Foundations of Quantum Mechanics.- 2 Dirac's bra-ket notation and Hermitian Operators.- 3 The Quantum Superposition Principle and Bloch Sphere Representation.- PART TWO.- 4 Qubit Modalities.- 5 Quantum Circuits and DiVincenzo Criteria.- 6 Quantum Communications.- 7 Quantum Algorithms.- 8 Adiabatic Optimization and Quantum Annealing.- 9 Quantum Error Correction.- 10 Conclusion.