Gauging the 1-form symmetry in the X-Cube construction produces a web of relations to SPT phases with subsystem and higher-form symmetries plus subsystem symmetry fractionalization in the 3+1D toric code.
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Introduces non-uniform cellular automata via lattice embedding to enable models on hyperbolic lattices for quantum many-body and percolation physics.
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There and Back Again: A Gauging Nexus between Topological and Fracton Phases
Gauging the 1-form symmetry in the X-Cube construction produces a web of relations to SPT phases with subsystem and higher-form symmetries plus subsystem symmetry fractionalization in the 3+1D toric code.
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Universal Design and Physical Applications of Non-Uniform Cellular Automata on Translationally Invariant Lattices
Introduces non-uniform cellular automata via lattice embedding to enable models on hyperbolic lattices for quantum many-body and percolation physics.