Day 800: Planar Surface Code Structure

Learning Objectives

• •**Construct** the complete lattice structure of a planar surface code
• •**Identify** data qubit and ancilla qubit positions and their roles
• •**Derive** the code parameters $[[n, k, d]]$ for unrotated surface codes
• •**Compare** the unrotated $[[d^2, 1, d]]$ with rotated $[[(d^2+1)/2, 1, d]]$ codes
• •**Write** explicit stabilizer generators for small-distance codes
• •**Explain** how the surface code relates to the toric code

Today's Schedule (7 hours)