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‘Simple’ objects in the space of symmetry operators are short-range correlated operators

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Sequential Circuit as Generalized Symmetry on Lattice

cond-mat.str-el · 2025-07-30 · conditional · novelty 7.0

For lattice generalized symmetries, the sequential circuit is a complete data source: its matrix product operator representation yields the full non-invertible action, and all 1D examples are annihilable with a unique identity channel.

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  • Sequential Circuit as Generalized Symmetry on Lattice cond-mat.str-el · 2025-07-30 · conditional · none · ref 7

    For lattice generalized symmetries, the sequential circuit is a complete data source: its matrix product operator representation yields the full non-invertible action, and all 1D examples are annihilable with a unique identity channel.