Parametrized isometric tensor networks called skeletons deform abelian string-net fixed points via symmetry conservation and isometry constraints, connecting topological phases through critical points and enabling efficient classical computation of generalized Pauli string expectations.
The local Hilbert space on an edge has dimensionN=4; the two-level Hilbert spaces of the twoZ 2 toric codes can be mapped to this by |j 1⟩ |j 2⟩ → |2j 1 +j 2⟩
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Skeleton of isometric Tensor Network States for Abelian String-Net Models
Parametrized isometric tensor networks called skeletons deform abelian string-net fixed points via symmetry conservation and isometry constraints, connecting topological phases through critical points and enabling efficient classical computation of generalized Pauli string expectations.