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Apply a controlled operation controlled by the second ancilla qubit on the last physical qubit |0⟩⟨0| ⊗R(X) + |1⟩⟨1| ⊗iZR(X)

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cond-mat.str-el 1

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2025 1

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CONDITIONAL 1

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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 4

    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.