New bulk commutation diagnostics coarsely sort translation invariant 3D stabilizer codes into TQFT, foliated type-I, fractal type-I, or type-II topological order.
A Generalization of Non-Abelian Anyons in Three Dimensions
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abstract
We introduce both an exactly solvable model and a coupled-layer construction for an exotic, three-dimensional phase of matter with immobile topological excitations that carry a protected internal degeneracy. Unitary transformations on this degenerate Hilbert space may be implemented by braiding certain point-like excitations. This provides a new way of extending non-Abelian statistics to three-dimensions.
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Sorting topological stabilizer models in three dimensions
New bulk commutation diagnostics coarsely sort translation invariant 3D stabilizer codes into TQFT, foliated type-I, fractal type-I, or type-II topological order.