Surface code: stabilizers are local 4-body plaquettes + vertices on a 2D lattice

Layer 1 — Physicsin the quantum-error-correction subtree

Kitaev 1997 toric / surface code. Qubits live on the edges of a 2D square lattice. Star operators S_v = ∏_{edges e∋v} X_e at every vertex v and plaquette operators S_p = ∏_{edges e∈∂p} Z_e at every face p form an abelian stabilizer group…

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