Mapping the Domany-Kinzel automaton to isoTNS yields a 2D quantum state with algebraic correlations whose continuous parent Hamiltonian exhibits a degenerate manifold containing an entanglement-pattern transition at the directed-percolation critical point.
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Holographic isoTNS represent volume-law entangled states including arbitrary fermionic Gaussian states, Clifford states, and certain short-time evolved states using an extra network dimension with isometric constraints.
A new isometric form for 2D tensor network states uses auxiliary tensors on a 45-degree rotated lattice, enabling a local Yang-Baxter move and a TEBD algorithm that captures area-law ground states and short-time dynamics.
Parametrized isometric tensor networks called skeletons deform abelian string-net fixed points via symmetry conservation and isometry constraints, connecting topological phases through critical points and enabling efficient classical computation of generalized Pauli string expectations.
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Entanglement Pattern Transition of Quantum States from Directed Percolation
Mapping the Domany-Kinzel automaton to isoTNS yields a 2D quantum state with algebraic correlations whose continuous parent Hamiltonian exhibits a degenerate manifold containing an entanglement-pattern transition at the directed-percolation critical point.
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Holographic Representation of One-Dimensional Many-Body Quantum States via Isometric Tensor Networks
Holographic isoTNS represent volume-law entangled states including arbitrary fermionic Gaussian states, Clifford states, and certain short-time evolved states using an extra network dimension with isometric constraints.
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Diagonal Isometric Form for Tensor Network States in Two Dimensions
A new isometric form for 2D tensor network states uses auxiliary tensors on a 45-degree rotated lattice, enabling a local Yang-Baxter move and a TEBD algorithm that captures area-law ground states and short-time dynamics.
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Skeleton of isometric Tensor Network States for Abelian String-Net Models
Parametrized isometric tensor networks called skeletons deform abelian string-net fixed points via symmetry conservation and isometry constraints, connecting topological phases through critical points and enabling efficient classical computation of generalized Pauli string expectations.