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Quantum Engineering Year 2: Advanced Quantum Science Month 36Day 981

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Year 2·Month 36·Week 1

Day 981: Classical LDPC Codes & Belief Propagation

Day 981 of 2,016~20 min read

Learning Objectives

•Define classical LDPC codes via sparse parity-check matrices
•Construct and analyze Tanner graph representations
•Distinguish regular and irregular LDPC code structures
•Implement the sum-product (belief propagation) algorithm
•Explain why LDPC codes approach Shannon capacity
•Connect classical LDPC concepts to quantum error correction foundations

Today's Schedule (7 hours)

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1 Introduction to LDPC Codes 2 Regular vs Irregular LDPC Codes 3 Tanner Graph Representation 4 Why Sparsity Matters 5 The Sum-Product Algorithm Belief Propagation 6 Algorithm Pseudocode 7 Performance and Shannon Capacity 8 Connection to Quantum Error Correction Practical Applications Classical LDPC in Modern Systems

Day 980Day 981 of 2,016Day 982