Quantum Computing for Engineers

This book is a practical guide for students and engineers eager to dive into the rapidly emerging field of quantum computing and harness its transformative power to tackle complex engineering and scientific challenges. It offers a clear and detailed analysis of cutting-edge quantum algorithms for problems of real-world importancesuch as linear systems and differential equationsand demonstrates the remarkable speedups and capabilities unlocked by quantum computers.

Readers will gain a solid grasp of how quantum algorithms work under the hood and will be well-equipped to navigate the exciting paradigm shift in scientific and engineering computation driven by the quantum revolutionwhether through designing new quantum algorithms for targeted applications or by developing a broad understanding of the emerging quantum landscape. The book includes hands-on example code and problem sets to bridge theory and practice.

Introduces and describes quantum computing and its application to scientific and engineering computing Describes in detail the quantum computing algorithms that can provide practical solutions for engineers and scientists Contains example code and practical problems to aid learning

Autorentext

Osama M. Raisuddin, Ph.D., is a Research Scientist at the Future of Computing Institute at Rensselaer Polytechnic Institute (RPI). He earned his doctorate in aeronautical engineering from Rensselaer Polytechnic Institute in December 2023 and an undergraduate degree in mechanical engineering with a minor in mechatronics from Orta Dou Teknik Üniversitesi (ODTÜ).

Dr. Raisuddin's research is interdisciplinary, crossing over from engineering to quantum computing and machine learning, with goal of enriching engineering methods with cutting edge tools in scientific computing. He has pioneered the development of iterative methods for quantum computers and his work has been published in peer-reviewed journals.

Suvranu De, Sc.D., is the Google Endowed Dean of the Florida A&M University (FAMU)-Florida State University (FSU) College of Engineering and Professor of Mechanical Engineering. He joined the college in July 2022 from Rensselaer Polytechnic Institute (RPI), where he was the J. Erik Jonsson '22 Distinguished Professor of Engineering, Head of the Department of Mechanical, Aerospace, and Nuclear Engineering (MANE), and Founding Director of the Center for Modeling, Simulation, and Imaging in Medicine (CeMSIM).

Dr. De received his bachelor's degree from Jadavpur University, India, in 1993; his master's from the Indian Institute of Science in 1995; and his doctorate from the Massachusetts Institute of Technology (MIT) in 2001all in mechanical engineering.

Dr. De's research lies at the intersection of scientific computing and computational mechanics, with a focus on developing advanced algorithms for complex, real-world applications. He is widely recognized for pioneering contributions to meshfree methods, multiscale modeling, iterative algrithms and real-time simulation technologies. He has authored or co-authored numerous book chapters as well as papers in peer-reviewed journals and conference proceedings. He has also coedited two books.

Inhalt

Part 1.- 1. Linear Algebra and Probability.- 2. Polynomial Approximations.- 3. Theory of Computing.- 4. An Overview of Practical Classical Computing.- 5. Information and Complexity Theory.- Part II. - 6. A Gentle Introduction to Quantum Mechanics.- 7. The Stern-Gerlach Experiment.- 8. Photon Polarization.- Part III.- 9. Qubits, Quantum Registers, and Quantum Gates.- 10. Quantum Measurements and Circuits.- 11. Superposition and Entanglement.- 12. Classical and Reversible Computation.- 13. Access Models and Data Representation.- 14. Limitations of Quantum Computers.- 15. Simon's, Deutsch-Jozsa, and Bernstein-Vazirani Algorithms.- Part IV.- 16. The Quantum Computing Stack.- 17. Libraries for Quantum Computing.- Part V.- 18. Phase Kickback.- 19. Quantum Fourier Transform.- 20. Quantum Phase Estimation.- 21. Trotterization.- 22. Linear Combination of Unitaries.- 23. Qubitization and Quantum Signal Processing.- 24. Amplitude Amplification and Estimation.- 25. Quantum Monte Carlo.- 26. Matrix-Vector Multiplications and Affine Linear Operations.- Part VI.- 27. Expectation Value Estimation.- 28. Hamiltonian Simulation Techniques.- 29. Eigenvalue Problems.- 30. Quantum Linear System Algorithms: Direct Methods.- 31. Quantum Linear System Algorithms: Iterative Methods.- 32. Quantum Ordinary Differential Equation Algorithms: Block-matrix algorithms.- 33. Quantum Ordinary Differential Equation Algorithms: Time-marching algorithms.- 34. Quantum Partial Differential Equation Algorithms.- 35. Variational Algorithms: Theory.- 36. Notable Variational Algorithms: VQE, QAOA, VQLS.- Part VII.- 37. Applications in Engineering and Scientific Computing.- 38. Quantum Machine Learning.- 39. Applications in Finance.