Day 841: Clifford Group Limitations

Learning Objectives

• •**Define the Clifford group** and list its standard generators (H, S, CNOT)
• •**Prove closure properties** of the Clifford group under multiplication
• •**State and explain** the Gottesman-Knill theorem
• •**Demonstrate** why Clifford circuits are classically simulable
• •**Identify** what computational power is missing without non-Clifford gates
• •**Classify** common gates as Clifford or non-Clifford

Today's Schedule (7 hours)