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Year 2·Month 30·Week 1

Day 814: Boundary Conditions — Smooth vs. Rough

Day 814 of 2,016~19 min read

Learning Objectives

•**Distinguish** smooth and rough boundaries by their stabilizer structure
•**Explain** why logical X terminates on smooth boundaries and logical Z on rough boundaries
•**Derive** boundary stabilizer forms from bulk stabilizer truncation
•**Design** surface code patches with specified boundary configurations
•**Calculate** how boundary choice affects logical operator weight
•**Implement** boundary-aware surface code visualizations

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