Day 688: Pauli Group and Logical Operators

Learning Objectives

• •**Understand the centralizer and normalizer** of the stabilizer group
• •**Define and construct logical operators** $\bar{X}$ and $\bar{Z}$
• •**Calculate code distance** from logical operator weights
• •**Identify correctable vs detectable errors** using stabilizer structure
• •**Apply the Pauli weight** concept to error analysis
• •**Understand the Gottesman-Knill theorem** implications

Today's Schedule (7 hours)