Day 795: Mutual Statistics and Braiding

Learning Objectives

• •Calculate the phase acquired when e circles m: $e^{i\pi} = -1$
• •Derive the mutual statistics using string operator commutation
• •Understand the Berry phase interpretation of braiding
• •Construct explicit braiding matrices for toric code anyons
• •Explain why e and m are "mutual semions"
• •Connect braiding to the Aharonov-Bohm effect

Today's Schedule (7 hours)