Day 949: Barren Plateaus

Learning Objectives

• •Define barren plateaus and understand their exponential gradient vanishing
• •Derive the variance scaling of gradients in deep random circuits
• •Analyze the trade-off between expressibility and trainability
• •Apply mitigation strategies: layerwise training, identity initialization, local cost functions
• •Distinguish cost-function-induced vs circuit-induced barren plateaus
• •Design circuits that avoid barren plateaus while maintaining expressibility

Today's Schedule (7 hours)