Day 864: T-Gate Synthesis

Learning Objectives

• •**Decompose arbitrary Z-rotations** into Clifford+T sequences
• •**Apply the Ross-Selinger Gridsynth algorithm** for optimal T-count
• •**Design Repeat-Until-Success (RUS) circuits** for probabilistic synthesis
• •**Analyze the trade-offs** between ancilla-free and ancilla-assisted synthesis
• •**Use the number-theoretic structure** of the Clifford+T group
• •**Estimate T-counts** for common rotation angles

Today's Schedule (7 hours)