The Annotated Qubit

We provide an introduction to quantum computing (QC) and quantum information (QI). The series of notes are partially based off of an advanced undergraduate/graduate course taught at San Francisco State University (SFSU). The series of notebooks has several parts:

1. Foundations: introduction to single qubit systems.

2. Foundations II: introduction to multi-qubit systems.

3. QI: basic quantum information.

4. QC: basic quantum computing algorithms.

5. Shor’s: Shor’s algorithm (advanced quantum computing algorithm).

Topic Dependency Graph

    Foundations
        |
  Foundations II
     /      \
    QC      QI
    |
  Shor's

Contents

• Foundations: A Single Qubit System
• Foundations: Bloch Spheres: Visualization for Single Qubit
• Foundations: Quantum Circuits for a Single Qubit System
• Foundations: Quantum Circuits for a Single Qubit System: Part 2
• Foundations II: Multi-Qubit Systems
• Foundations II: Quantum Circuits for Multi-Qubit Systems
• Foundations II: Measurement in Multi-Qubit Systems
• Foundations II: No Cloning
• QI: Mixed States and Density Matrices
• QI: Superdense Coding
• QI: Quantum Teleportation
• QI: Quantum Error Correction
• QC: Deutsch-Jozsa Algorithm
• QC: Simon’s Algorithm
• QC: Grover’s Search
• Shor’s Part 1/5: RSA
• Shor’s Part 2/5: The Quantum Fourier Transform
• Shor’s Part 3/5: Modular Exponentiation
• Shor’s Part 4/5: Quantum Phase Estimation
• Shor’s Part 5/5: Shor’s Algorithm with Quantum Order Finding
• Appendix: Complex Numbers
• Appendix: Binary Notation
• Appendix: Linear Algebra
• Appendix: Factoring Integers

Citation

If you found our work useful, please consider citing it:

@misc{huang2024annotatedqubit,
  author       = {Daniel Huang},
  title        = {The Annotated Qubit},
  year         = {2024},
  url          = {https://github.com/danehuang/annotated-qubit},
  note         = {GitHub repository},
}