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Book Cover
E-book
Author Hidary, Jack D.

Title Quantum computing : an applied approach / Jack D. Hidary
Edition Second edition
Published Cham, Switzerland : Springer, 2021

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Description 1 online resource
Contents Intro -- Contents -- Preface to the Second Edition -- Preface to the First Edition -- Acknowledgements -- Navigating this Book -- Part I Foundations -- CHAPTER 1 Superposition, Entanglement and Reversibility -- 1.1 Superposition and Entanglement -- 1.2 The Born Rule -- 1.3 Schrödinger's Equation -- 1.4 The Physics of Computation -- CHAPTER 2 A Brief History of Quantum Computing -- 2.1 Early Developments and Algorithms -- 2.2 Shor and Grover -- 2.3 Defining a Quantum Computer -- CHAPTER 3 Qubits, Operators and Measurement -- Quantum Circuit Diagrams -- 3.1 Quantum Operators -- Unary Operators
Binary Operators -- Ternary Operators -- 3.2 Comparison with Classical Gates -- 3.3 Universality of Quantum Operators -- 3.4 Gottesman-Knill and Solovay-Kitaev -- 3.5 The Bloch Sphere -- 3.6 The Measurement Postulate -- 3.7 Computation-in-Place -- CHAPTER 4 Complexity Theory -- 4.1 Problems vs. Algorithms -- 4.2 Time Complexity -- 4.3 Complexity Classes -- 4.4 Quantum Computing and the Church-Turing Thesis -- Part II Hardware and Applications -- CHAPTER 5 Building a Quantum Computer -- 5.1 Assessing a Quantum Computer -- 5.2 Neutral Atoms -- 5.3 NMR -- 5.4 NV Center-in-Diamond -- 5.5 Photonics
Semiconductor quantum transistor -- Topological photonic chip -- 5.6 Spin Qubits -- 5.7 Superconducting Qubits -- 5.8 Topological Quantum Computation -- 5.9 Trapped Ion -- 5.10 Summary -- CHAPTER 6 Development Libraries for Quantum Computer Programming -- 6.1 Quantum Computers and QC Simulators -- 6.2 Cirq -- 6.3 Qiskit -- 6.4 Forest -- 6.5 Quantum Development Kit -- 6.6 Dev Libraries Summary -- Using the Libraries -- Other Development Libraries -- 6.7 Additional Quantum Programs -- Bell States -- Gates with Parameters -- CHAPTER 7 Teleportation, Superdense Coding and Bell's Inequality
7.1 Quantum Teleportation -- 7.2 Superdense Coding -- 7.3 Code for Quantum Teleportation and Superdense Communication -- 7.4 Bell Inequality Test -- Summary -- CHAPTER 8 The Canon: Code Walkthroughs -- 8.1 The Deutsch-Jozsa Algorithm -- 8.2 The Bernstein-Vazirani Algorithm -- The Bernstein-Vazirani Algorithm -- 8.3 Simon's Problem -- 8.4 Quantum Fourier Transform -- 8.5 Shor's Algorithm -- RSA Cryptography -- The Period of a Function -- Period of a Function as an Input to a Factorization Algorithm -- Classical order finding -- Quantum order finding -- Quantum arithmetic operations in Cirq
Modular exponential arithmetic operation -- Using the modular exponential operation in a circuit -- Classical post-processing -- Quantum order finder -- The complete factoring algorithm -- 8.6 Grover's Search Algorithm -- Grover's Algorithm in Qiskit -- 3-Qubit Grover's Algo -- Summary -- CHAPTER 9 Quantum Computing Methods -- 9.1 Variational Quantum Eigensolver -- VQE with Noise -- More Sophisticated Ansatzes -- 9.2 Quantum Chemistry -- 9.3 Quantum Approximate Optimization Algorithm (QAOA) -- Example Implementation of QAOA -- 9.4 Machine Learning on Quantum Processors
Summary This book integrates the foundations of quantum computing with a hands-on coding approach to this emerging field; it is the first to bring these elements together in an updated manner. This work is suitable for both academic coursework and corporate technical training. The second edition includes extensive updates and revisions, both to textual content and to the code. Sections have been added on quantum machine learning, quantum error correction, Dirac notation and more. This new edition benefits from the input of the many faculty, students, corporate engineering teams, and independent readers who have used the first edition. This volume comprises three books under one cover: Part I outlines the necessary foundations of quantum computing and quantum circuits. Part II walks through the canon of quantum computing algorithms and provides code on a range of quantum computing methods in current use. Part III covers the mathematical toolkit required to master quantum computing. Additional resources include a table of operators and circuit elements and a companion GitHub site providing code and updates. Jack D. Hidary is a research scientist in quantum computing and in AI at Alphabet X, formerly Google X
Subject Quantum computing.
Quantum computing
Form Electronic book
ISBN 9783030832742
3030832740