Any weakly integral fusion category admits a QCA-refined realization on tensor-product Hilbert spaces with QCA and symmetry indices fixed by the categorical data under defect assumptions.
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3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Establishes phase equivalence for intrinsically nontrivial mixed-state quantum phases in 1D by constructing low-depth quasi-local channel circuits via parent Lindbladians, beyond renormalization fixed points.
Proposes continuous matrix product operators for QFT with closed-form matrix-function expressions from continuum limits of MPOs that preserve area-law entanglement and enable new continuous unitaries beyond quantum cellular automata.
citing papers explorer
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Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata
Any weakly integral fusion category admits a QCA-refined realization on tensor-product Hilbert spaces with QCA and symmetry indices fixed by the categorical data under defect assumptions.
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Establishing Mixed-State Phase Equivalence beyond Renormalization Fixed Points
Establishes phase equivalence for intrinsically nontrivial mixed-state quantum phases in 1D by constructing low-depth quasi-local channel circuits via parent Lindbladians, beyond renormalization fixed points.
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Continuous matrix product operators for quantum fields
Proposes continuous matrix product operators for QFT with closed-form matrix-function expressions from continuum limits of MPOs that preserve area-law entanglement and enable new continuous unitaries beyond quantum cellular automata.