Day 561: Pauli Gates (X, Y, Z)

Learning Objectives

• •**Write the matrix representations** of all three Pauli gates X, Y, Z
• •**Calculate eigenvalues and eigenvectors** of each Pauli matrix
• •**Apply Pauli gates** to arbitrary single-qubit states
• •**Derive anti-commutation relations** {σᵢ, σⱼ} = 2δᵢⱼI
• •**Visualize Pauli gate actions** on the Bloch sphere as π rotations
• •**Verify algebraic identities** including X² = Y² = Z² = I

Today's Schedule (7 hours)