Introduction

• Crash course on quantum mechanics
• Quantum measurement and interaction with the environment
• Foundations of classical and quantum information theory

Quantum computing

• The quantum circuit model
• Universal quantum gates
• Quantum advantage and the Deutsch-Jozsa algorithm

Overview of quantum algorithms

• The quantum Fourier transform and Shor's factoring algorithm
• The quantum state amplification and Grover's database search algorithm
• The quantum phase estimation and linear system solving
• Digital quantum simulation and unitary time evolution
• The variational quantum eigensolver

Noise in quantum hardware and the digital noise model

Quantum error correction

• The Shor quantum error correction code
• Stabilizer codes
• Fault-tolerant quantum computing

Overview of recent advances in quantum hardware and software