Introduction to Quantum Computing

This course provides an introduction to the fundamental concepts of quantum computing. The course is designed for students who want to understand the basic principles behind quantum computation and how quantum information differs from classical information processing.
The course begins with an introduction to the field of quantum computing and its potential applications. It then reviews selected background topics needed for understanding quantum computation, including classical computation, probability, vectors, complex numbers and matrices.
After the mathematical and computational foundations, the course introduces the essential concepts of quantum computing. These include quantum bits, quantum states, superposition, measurement, quantum gates and quantum circuits. The course also covers basic ideas of quantum information and selected quantum algorithms.

Upon successful completion of the course, students will be able to:

• Explain the fundamental principles of quantum computing.
• Describe the differences between classical and quantum computation.
• Apply basic concepts of probability, vectors, complex numbers and matrices in the context of quantum computing.
• Explain the concepts of quantum information and quantum states.
• Describe the operation of basic quantum gates and quantum circuits.
• Explain the principles behind selected quantum algorithms.