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Quantum Engineering Year 3: Qualifying Exam Preparation Month 43Week 172

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Week 172: Topological Codes

Week 172 of 288~42 min read

Learning Objectives

•**Construct** the toric code and identify its stabilizers
•**Explain** anyonic excitations and their braiding properties
•**Analyze** the surface code including boundaries and logical operators
•**Design** syndrome measurement circuits for the surface code
•**Apply** minimum-weight perfect matching for decoding
•**Describe** fault-tolerant operations using lattice surgery
•**Evaluate** the surface code for practical quantum computing

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Overview Daily Schedule Day 1198 Monday The Toric Code Day 1199 Tuesday Anyonic Excitations Day 1200 Wednesday Surface Code Basics Day 1201 Thursday Surface Code Architecture Day 1202 Friday Logical Operations Day 1203 Saturday Computational Workshop Day 1204 Sunday Month Review and Integration Learning Objectives Key Formulas Files in This Week References