Day 857: Eastin-Knill Theorem Statement

Learning Objectives

• •**State** the Eastin-Knill theorem precisely
• •**Explain** the connection between transversality and discreteness
• •**Understand** why discrete subgroups of SU(d) cannot be universal
• •**Describe** the proof sketch using Lie group theory
• •**Articulate** the fundamental implications for fault-tolerant quantum computing
• •**Connect** the theorem to the magic state paradigm

Today's Schedule (7 hours)