In this section, we will explain the role and use of matrices in quantum computing.
Matrices are mathematical tools that allow a quantum system to transition from one state to another. They are also used when making measurements in quantum systems. Certain types of matrices are of special importance in quantum computing. We will discuss these in later sections, but for now, we can mention examples such as symmetric, Hermitian, orthogonal, and unitary matrices.
When a quantum system is measured, the measured values are the eigenvalues of the matrices, and the eigenvectors represent the new state of the system after the measurement. These concepts will be discussed in detail later.
Matrices are used to solve linear equations. Additionally, operations such as the transformation or reflection of a point in 2D and 3D space can also be performed with matrices. These transformations can be generalized to higher dimensions and are used in some quantum algorithms.
Each of the topics mentioned here will be discussed in detail in later sections. Our goal here is to establish the general purpose of this writing series.