Johnson Robert. Quantum Algorithms in Action: A Practical Guide to Implementation with Qiskit

HiTeX Press, 2024. — 348 p. — ASIN: B0DL3NYFMK."Quantum Algorithms in Action: A Practical Guide to Implementation with Qiskit" is an authoritative resource designed to bridge the gap between theory and practical application in quantum computing. This comprehensive guide demystifies complex quantum concepts while introducing readers to the powerful tools provided by Qiskit, an open-source quantum computing framework. It meticulously covers foundational topics such as quantum mechanics principles and quantum circuit design, making it an indispensable asset for both newcomers and seasoned professionals eager to explore the computational wonders of the quantum world.The book delves into the design and execution of quantum algorithms, providing step-by-step instructions for implementing notable algorithms like Grover's and Shor's. It addresses key challenges such as quantum error correction and program optimization, ensuring readers gain a well-rounded understanding of maintaining accuracy and efficiency in quantum computations. Through detailed case studies and real-world applications, readers can appreciate how quantum computing is transforming diverse sectors, highlighting the potential and challenges that lie ahead. As quantum computing continues to evolve, this guide equips its readers with the knowledge and skills necessary to be at the forefront of technological advancements.Contents
Introduction to Quantum Computing
Overview of Quantum Computing
Classical vs Quantum Computing
Quantum Bits and Quantum States
Entanglement and Superposition
Quantum Measurement
Limitations and Challenges
Basics of Quantum Mechanics for Computer Scientists
Fundamental Concepts of Quantum Mechanics
Mathematics of Quantum Mechanics
Quantum States and Probability Amplitudes
Operators and Observables
Quantum Mechanics Postulates
The Role of Entanglement in Quantum Theory
Quantum Circuits and Gates
Quantum Circuit Model
Basic Quantum Gates
Universal Quantum Gates
Multi-Qubit Gates
Constructing Complex Circuits
Quantum Circuit Diagrams
Introduction to Qiskit
Getting Started with Qiskit
Qiskit Basic Components
Creating Quantum Circuits
Simulating Quantum Circuits
Executing on IBM Quantum Devices
Visualizing Quantum States and Circuits
Implementing Quantum Algorithms with Qiskit
Designing Quantum Algorithms
Implementing Grover’s Algorithm
Implementing Shor’s Algorithm
Quantum Fourier Transform
Variational Quantum Algorithms
Quantum Error Mitigation Strategies
Quantum Error Correction
Understanding Quantum Errors
Classical vs Quantum Error Correction
Quantum Error Correction Codes
Implementing Quantum Error Correction
Fault-Tolerant Quantum Computing
Recent Advances in Quantum Error Correction
Advanced Quantum Algorithms
Quantum Approximation Algorithms
Quantum Machine Learning Algorithms
Quantum Algorithms for Cryptography
Hamiltonian Simulation
Quantum Walks and Their Applications
Topological Quantum Algorithms
Practical Applications and Case Studies
Quantum Computing in Finance
Applications in Quantum Chemistry
Quantum Machine Learning in Practice
Quantum Algorithms for Optimization
Cryptography and Quantum Security
Real-World Quantum Computing Projects
Debugging and Optimizing Quantum Programs
Common Errors in Quantum Programs
Debugging Techniques in Qiskit
Performance Optimization Strategies
Resource Management for Quantum Computing
Calibration and Error Mitigation
Best Practices for Writing Quantum Code
Future Directions in Quantum Computing
Scaling Quantum Computers
Quantum Networking and Communication
Novel Quantum Algorithms
Quantum Computing and Artificial Intelligence
Integrating Quantum and Classical Systems
Ethical and Societal ImplicationsIntroduction