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Quantum Engineering Year 1: Quantum Mechanics Core Month 15Day 402

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Year 1·Month 15·Week 2

Day 402: Pauli Matrices

Day 402 of 2,016~7 min read

Learning Objectives

•Write the Pauli matrices σₓ, σᵧ, σᵤ from memory
•Verify their fundamental algebraic properties
•Express spin operators in terms of Pauli matrices
•Recognize Pauli matrices as quantum gates (X, Y, Z)
•Use Pauli matrices to represent any 2×2 Hermitian matrix

Today's Schedule (7 hours)

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1 The Pauli Matrices 2 Basic Properties 3 Algebraic Relations 4 Spin Operators 5 Completeness Any 22 Matrix 6 Eigenstates of Pauli Matrices Quantum Computing Connection

Day 401Day 402 of 2,016Day 403