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Quantum Engineering Year 1: Quantum Mechanics Core Month 20Day 548

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Year 1·Month 20·Week 3

Day 548: Entropy of Entanglement

Day 548 of 2,016~10 min read

Learning Objectives

•Define entropy of entanglement for pure states
•Derive E from Schmidt decomposition
•Prove E = S(ρ_A) = S(ρ_B) for pure states
•Compute entropy of entanglement for common states
•Understand maximally entangled states via entropy
•Apply entropy of entanglement in quantum protocols

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Entropy of Entanglement Definition Connection to Schmidt Decomposition Entropy of Entanglement Formula Properties of Entropy of Entanglement Maximally Entangled States Two-Qubit Examples Binary Entropy Function Schmidt Rank and Entanglement Proof S_A S_B Entanglement Monotonicity Physical Interpretation

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