Quantum Computing

Speed Reading a Gate’s Operation from Its Matrix

In ​Classifying Quantum Gates​, you saw that single-qubit quantum gates can be classified by how they affect qubelets. In this section, you’ll learn to infer a gate’s matrix and understand how it affects the qubelets. We’ll not be concerned with whether the given matrix is unitary. Our interest is merely to figure out how the gate acts on the pentagon and triangle qubelets. Thus, we’ll assume valid gate matrices.

Single-Qubit Gate Matrices

To fix these ideas in your mind, consider the following ...