Day 975: Symmetry-Preserving Ansatze

Learning Objectives

• •Identify relevant symmetries in molecular and many-body systems
• •Design ansatze that preserve particle number ($\hat{N}$) symmetry
• •Construct spin-preserving circuits ($\hat{S}^2$, $\hat{S}_z$)
• •Incorporate point group symmetries in molecular calculations
• •Compare hard constraints vs penalty methods for symmetry enforcement
• •Analyze the trainability benefits of symmetry-adapted circuits

Today's Schedule (7 hours)