Fundamentals of Quantum Computing

The fundamentals of quantum computing introduces students taking their first steps in quantum computing to the basics of quantum algorithms and quantum circuits. 

Topics (Average 2~3 weeks per topic)

1. Quantum Mechanics and Linear Algebra (Recommended order: Lab ->  Textbook -> Lecture)

   • Lecture 1:  Linear algebra review (Videos 1~6) 

   • Lecture 2: Axioms of the quantum mechanics (Videos 7~9)

   • Textbook: Section 2.1~2.2

   • Lab 1: Basics of Quantum Information lessons 1~2

   • Disclaimer: Skim the textbook first, then watch lectures on topics that are difficult, there is no need to watch the lectures in their entirety.

2. Quantum Gates(Recommended order: Lecture -> Lab -> Textbook)

   • Lecture 3: Basics of Quantum Circuits

   • Textbook: Section 4.1~4.4

   • Lab 2: Basics of Quantum Information lessons 3~4

   • Exam: Basics of Quantum Information Exam(IBM Quantum Learning)

3. Quantum Algorithms (Recommended order: Lecture -> Lab -> Textbook)

   • Lecture 4: Quantum Algorithms

   • Textbook:

     1. Quantum Fourier Transform(Section 5.1)

     2. Phase Estimation(Section 5.2)

     3. Shor's Algorithm(Section 5.3)

     4. Grover Algorithm/Quantum Search Algorithm(Section 6.1)

   • Labs:

     1. Quantum Fourier Transform(Fundamentals of Quantum Algorithms Lesson 3)

     2. Phase Estimation(Fundamentals of Quantum Algorithms Lesson 3)

     3. Shor's Algorithm(Fundamentals of Quantum Algorithms Lesson 3)

     4. Grover Algorithm/Quantum Search Algorithm(Fundamentals of Quantum Algorithms Lesson 1 & 4)

     5. Performance of Quantum Algorithms(Optional, Fundamentals of Quantum Algorithms Lesson 2)

   • Exam: Fundamentals of Quantum Algorithms Exam(IBM Quantum Learning)

4. Quantum Hardware/Using Quantum Backends

   • Lecture 5: Quantum Computing in Practice 1 & 2 (Short tutorial on IBM quantum composer & Using backends)

   • Lab: Run a circuit on an IBM backend using the circuit builder(https://learning.quantum.ibm.com/tutorial/explore-gates-and-circuits-with-the-quantum-composer)