Day 709: Proof of the Gottesman-Knill Theorem

Learning Objectives

• •**Prove the Gottesman-Knill theorem** from first principles
• •**Show that stabilizer states** have efficient classical descriptions
• •**Demonstrate Clifford gate updates** preserve the stabilizer structure
• •**Prove measurement simulation** is efficient
• •**Derive the complexity bounds** rigorously
• •**Identify key lemmas** that make the proof work

Today's Schedule (7 hours)