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Quantum Engineering Year 2: Advanced Quantum Science Month 30Day 828

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Year 2·Month 30·Week 3

Day 828: MWPM Optimization Techniques

Day 828 of 2,016~19 min read

Learning Objectives

•**Explain** the Blossom algorithm for minimum-weight perfect matching
•**Construct** sparse matching graphs exploiting surface code locality
•**Apply** boundary matching and virtual node techniques
•**Implement** practical MWPM optimizations for surface codes
•**Use** the PyMatching library for efficient syndrome decoding
•**Analyze** the time complexity improvements from various optimizations

Today's Schedule (7 hours)

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1 Review The MWPM Decoding Problem 2 The Blossom Algorithm Key Concepts Complexity 3 Sparse Matching Graph Construction Weight Function Sparsification Strategy 4 Boundary Matching 5 The Matching Graph in 3D 6 PyMatching Practical MWPM 7 Further Optimizations Precomputed Lookup for Small Syndromes Hierarchical Matching Parallel Processing

Day 827Day 828 of 2,016Day 829