Toric code ground-state degeneracy on genus-g surface: GSD = 4^g (Kitaev 2003)

Layer 1 — Physicsin the topological-quantum-computing subtree

Toric code ground-state degeneracy on a genus-g closed orientable surface. From framework F8 (TQFT cobordism), the dimension of H_Σ_g is a topological invariant. For the Z_2 toric code (Kitaev 2003) the ground state is a product of…

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