Course curriculum

  • 1

    Welcome!

    • Introduction
  • 2

    Introducing Computing

    • What is Classical Computing?

    • Problem Solving with Computers: A Brief Overview of Linear Equations

    • Classical Logic in a Nutshell

    • Classical Logic Demonstration

    • How is Information Stored?

    • Binary Numbers Demonstration
  • 3

    Classical Computing In-Depth

    • Introduction

    • Overview of Induction

    • Recursive Algorithm Example: What is Binary Search?

    • Introduction to Asymptotic Notation

    • Runtime Analysis of Binary Search
  • 4

    Linear Algebra Crash Course

    • Why Linear Algebra?

    • What Are Vectors and Matrices?

    • Vector Addition and Scalar Multiplication

    • Vector and Matrix Multiplication

    • Calculating the Lengths of Vectors

    • Practice: Basic Vector Operations
  • 5

    Advanced Linear Algebra Concepts

    • Introduction

    • Introducing Orthogonality

    • Equivalent State Vectors

    • Transposing Matrices

    • Matrix Operations: Finding Orthonormal Basis

    • Linear Algebra for Quantum Computing in a Nutshell
  • 6

    Introducing Quantum Computing

    • What is Quantum Computing?

    • Stern-Gerlach Experiment

    • Segway: Major Concepts in Quantum Computing
  • 7

    Major Concepts in Quantum Computing

    • Introduction

    • What is Spin?

    • The Dilemma of Measurements on the Quantum Level

    • The Mathematics of Quantum Spin

    • Interpreting Linear Algebra for Quantum Computing

    • What is Superposition?

    • What, Truly, Are Qubits?

    • (Optional) Considering Interference and Probability Amplitudes
  • 8

    Applications of Quantum Computing

    • Where Can We Take Quantum Computing?

    • What is Quantum Cryptography?

    • Introducing Alice, Bob, and Eve

    • Sending and Receiving Messages

    • The Race for Supremacy
  • 9

    Gateway to Advanced Quantum Computing

    • Introduction

    • What is Quantum Entanglement?

    • Representing Multi-Qubit Systems

    • Entanglement Calculations

    • Explaining the Standard Basis for Tensor Products

    • What are Computer Gates?

    • What is the CNOT Gate?

    • What are Pauli Transformations?

    • What are Hadamard Gates?
  • 10

    Conclusion

    • Congratulations!