Day 563: Phase Gates (S, T, and Z-axis Rotations)

Learning Objectives

• •**Define the S and T gates** and understand their relationship to Z
• •**Compute the matrix forms** of S, T, S†, and T† gates
• •**Implement Z-axis rotations** using phase gates
• •**Explain phase kickback** and its role in quantum algorithms
• •**Understand the Clifford hierarchy** (Z, S, T structure)
• •**Apply phase gates** in practical quantum circuits

Today's Schedule (7 hours)