Day 562: The Hadamard Gate

Learning Objectives

• •**Write the Hadamard matrix** and verify its unitarity
• •**Create superposition states** from computational basis using H
• •**Transform between bases** (Z-basis ↔ X-basis) using H
• •**Prove H² = I** and understand its implications
• •**Derive key identities** like HXH = Z and HZH = X
• •**Apply Hadamard to multi-qubit states** using tensor products

Today's Schedule (7 hours)