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Year 2·Month 29·Week 3

Day 799: From Torus to Plane — Boundaries in the Surface Code

Day 799 of 2,016~19 min read

Learning Objectives

•**Explain** why periodic (toric) boundaries cannot be implemented in planar hardware
•**Distinguish** smooth (X-type) boundaries from rough (Z-type) boundaries
•**Construct** boundary stabilizers with reduced weight
•**Calculate** how boundaries reduce encoded qubits from 2 to 1
•**Visualize** the boundary conditions on a planar lattice
•**Connect** boundary physics to practical hardware constraints

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