Introduction to Quantum Computing

1. Front Matter

   Pages i-xvi

   PDF

2. Superposition

   • Ray LaPierre

   Pages 1-17

3. Quantization

   • Ray LaPierre

   Pages 19-34

4. Spin

   • Ray LaPierre

   Pages 35-56

5. Qubits

   • Ray LaPierre

   Pages 57-72

6. Entanglement

   • Ray LaPierre

   Pages 73-90

7. Quantum Key Distribution

   • Ray LaPierre

   Pages 91-99

8. Quantum Gates

   • Ray LaPierre

   Pages 101-125

9. Teleportation

   • Ray LaPierre

   Pages 127-131

10. Tensor Products

    • Ray LaPierre

    Pages 133-138

11. Quantum Parallelism and Computational Complexity

    • Ray LaPierre

    Pages 139-148

12. Deutsch Algorithm

    • Ray LaPierre

    Pages 149-161

13. Grover Algorithm

    • Ray LaPierre

    Pages 163-176

14. Shor Algorithm

    • Ray LaPierre

    Pages 177-192

15. Precession

    • Ray LaPierre

    Pages 193-207

16. Electron Spin Resonance

    • Ray LaPierre

    Pages 209-216

17. Two-State Dynamics

    • Ray LaPierre

    Pages 217-231

18. Implementing Two-Qubit Gates

    • Ray LaPierre

    Pages 233-240

19. DiVincenzo Criteria

    • Ray LaPierre

    Pages 241-244

20. Nuclear Magnetic Resonance

    • Ray LaPierre

    Pages 245-257

This book provides a self-contained undergraduate course on quantum computing based on classroom-tested lecture notes. It reviews the fundamentals of quantum mechanics from the double-slit experiment to entanglement, before progressing to the basics of qubits, quantum gates, quantum circuits, quantum key distribution, and some of the famous quantum algorithms. As well as covering quantum gates in depth, it also describes promising platforms for their physical implementation, along with error correction, and topological quantum computing. With quantum computing expanding rapidly in the private sector, understanding quantum computing has never been so important for graduates entering the workplace or PhD programs. Assuming minimal background knowledge, this book is highly accessible, with rigorous step-by-step explanations of the principles behind quantum computation, further reading, and end-of-chapter exercises, ensuring that undergraduate students in physics and engineering emerge well prepared for the future.

• quantum computing textbook
• quantum information textbook
• undergraduate quantum computing
• quantum computing for engineers
• quantum information processing
• quantum algorithms
• platforms for quantum computing
• quantum error correction
• quantum gates

• Department of Engineering Physics, McMaster University, Hamilton, Canada

  Ray LaPierre

Ray LaPierre attended Dalhousie University, Canada, where he obtained a B.Sc. degree in Physics in 1992. He then completed his M.Eng. degree in 1994 and Ph.D. degree in 1997 in the Engineering Physics Department at McMaster University, Canada. His graduate work involved development of molecular beam epitaxy of compound semiconductor alloys for laser diodes in telecom applications. Upon completion of his graduate work in 1997, he joined JDS Uniphase, Canada, where he developed dielectric coatings for wavelength division multiplexing devices. In 2004, he rejoined McMaster University as an Assistant Professor in the Engineering Physics Department. He is currently Professor in the Engineering Physics Department at McMaster with interests in III-V nanowires, molecular beam epitaxy, and applications in photovoltaics, photodetectors and quantum information processing.

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