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Quantum Engineering Year 3: Qualifying Exam Preparation Month 42Week 167

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Week 167: Quantum Information Theory

Week 167 of 288~40 min read

Learning Objectives

•Define and calculate von Neumann entropy and its properties
•Prove key entropy inequalities (subadditivity, strong subadditivity)
•State and apply the Holevo bound
•Calculate classical and quantum channel capacities
•Explain quantum data compression (Schumacher compression)
•Apply quantum Shannon theory to communication problems
•Connect information-theoretic quantities to physical systems

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Overview Learning Objectives Daily Schedule Day 1163 Monday Von Neumann Entropy Day 1164 Tuesday Conditional Entropy and Mutual Information Day 1165 Wednesday Holevo Bound Day 1166 Thursday Quantum Channel Capacity Day 1167 Friday Data Compression Day 1168 Saturday Advanced Topics Day 1169 Sunday Integration and Assessment Key Equations Von Neumann Entropy Entropy Properties Subadditivity Strong Subadditivity Holevo Bound Channel Capacities Schumacher Compression Key Theorems Theorem 1 Holevo Bound Theorem 2 HSW Theorem Theorem 3 Schumacher Compression Theorem 4 Strong Subadditivity Lieb-Ruskai Connections From Previous Weeks To Integration Week Resources Primary Reading Research Papers Online Resources