Day 788: Toric Code as CSS Code

Learning Objectives

• •**Identify** the toric code as a CSS code with X and Z stabilizers
• •**Construct** the parity check matrices $H_X$ and $H_Z$
• •**Explain** the chain complex structure underlying the toric code
• •**Define** boundary operators and verify $\partial^2 = 0$
• •**Connect** logical operators to homology classes
• •**Draw** the dual lattice and interpret its role

Today's Schedule (7 hours)