Day 851: Bravyi-Haah Protocols and Triorthogonal Codes

Learning Objectives

• •**Define triorthogonal codes** and their role in magic state distillation
• •**Construct Bravyi-Haah distillation circuits** from triorthogonal matrices
• •**Derive the quadratic error scaling** $\epsilon_{\text{out}} = O(\epsilon_{\text{in}}^2)$
• •**Compare 10-to-2 with 15-to-1** protocols in terms of overhead
• •**Analyze asymptotic efficiency** of triorthogonal distillation
• •**Apply Bravyi-Haah protocols** for low-overhead distillation

Today's Schedule (7 hours)