Day 797: Topological Order

Learning Objectives

• •Define topological order through long-range entanglement
• •Calculate ground state degeneracy from topology: $\text{GSD} = 4^g$ for genus $g$
• •Compute topological entanglement entropy: $S_{\text{topo}} = -\log D$
• •Explain robustness to local perturbations
• •Distinguish topological order from symmetry-breaking order
• •Connect topological order to quantum error correction

Today's Schedule (7 hours)