Day 786: Star and Plaquette Operators

Learning Objectives

• •**Construct** star operators $A_v = \prod_{e \ni v} X_e$ at each vertex
• •**Construct** plaquette operators $B_p = \prod_{e \in \partial p} Z_e$ at each face
• •**Prove** that all star operators commute with each other
• •**Prove** that all plaquette operators commute with each other
• •**Prove** that star and plaquette operators commute: $[A_v, B_p] = 0$
• •**Identify** the stabilizer group structure and constraints

Today's Schedule (7 hours)