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Quantum Engineering Year 3: Qualifying Exam Preparation Month 44Week 174

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Week 174: Decoding Algorithms for Quantum Error Correction

Week 174 of 288~54 min read

Learning Objectives

•Formulate the decoding problem as a computational task
•Implement and analyze the MWPM decoder for surface codes
•Understand the union-find decoder and its complexity advantages
•Evaluate belief propagation for quantum LDPC codes
•Assess neural network decoders and their potential advantages
•Compare decoder performance across threshold, complexity, and practicality

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Overview Learning Objectives Daily Schedule Day 1212 Monday The Decoding Problem Day 1213 Tuesday MWPM Decoder I - Foundations Day 1214 Wednesday MWPM Decoder II - Analysis Day 1215 Thursday Union-Find Decoder Day 1216 Friday Belief Propagation Day 1217 Saturday Neural Network Decoders Day 1218 Sunday Decoder Comparison and Selection Key Theorems and Results MWPM Threshold Fowler et al Union-Find Complexity Delfosse-Nickerson BP Convergence Poulin-Chung Week 174 Files Prerequisites Review Computational Resources Recommended Libraries Sample Code Structure Navigation