Day 849: The 15-to-1 Distillation Protocol

Learning Objectives

• •**Explain the Reed-Muller code basis** for 15-to-1 distillation
• •**Construct the distillation circuit** from stabilizer measurements
• •**Derive the error scaling** $\epsilon_{\text{out}} \approx 35\epsilon_{\text{in}}^3$
• •**Analyze the triorthogonality condition** and its role in error suppression
• •**Calculate success probabilities** and post-selection overhead
• •**Design multi-level distillation** strategies for target error rates

Today's Schedule (7 hours)