Chapter 1: Essential Mathematics and Algorithmic Thinking
Quantum computing utilizes the phenomena and properties of quantum mechanics to perform computational tasks. This is done using a quantum computer, which is made using the principles of quantum physics. Today, quantum computers are still in their early stages, but the field is rapidly evolving as more and more communities from different backgrounds get involved in the field. Quantum computers will soon be able to solve challenges that are too complex for classical computers.
This chapter is intended to develop your understanding of the mathematical concepts that are required for quantum computing. This will help you to understand the ideas behind the applications of mathematical concepts to quantum computation. We will cover the following topics:
- Linear algebra
- Coordinate systems, probability, and complex numbers
- Computational thinking and computer algorithms
- The time and space complexity of algorithms
