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Quantum Engineering Year 3: Qualifying Exam Preparation Month 44Week 175

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Week 175: Quantum Low-Density Parity-Check Codes

Week 175 of 288~46 min read

Learning Objectives

•Construct QLDPC codes from classical LDPC components
•Analyze the hypergraph product construction and its limitations
•Understand lifted product codes and expander graphs
•Prove asymptotic goodness of Panteleev-Kalachev codes
•Explain constant-overhead fault tolerance implications
•Evaluate practical challenges for QLDPC implementation

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Overview Learning Objectives Daily Schedule Day 1219 Monday Classical LDPC Review Day 1220 Tuesday Quantum LDPC Construction Day 1221 Wednesday Hypergraph Product Codes Day 1222 Thursday Lifted Product Codes Day 1223 Friday Panteleev-Kalachev Codes Day 1224 Saturday Constant-Overhead Fault Tolerance Day 1225 Sunday QLDPC Frontiers Key Theorems and Results Hypergraph Product Tillich-Zmor 2009 Panteleev-Kalachev 2021-2022 Constant-Overhead FT 2024-2025 Week 175 Files Prerequisites Review Mathematical Background Expander Graphs Tanner Codes Navigation