A transition between volume- and area-law entanglement occurs in row states evolved under transfer matrices of translation-invariant tensor networks, with a dense ring spectrum in the volume-law phase and a dominant eigenvalue in the area-law phase.
Vidal, Efficient classical simulation of slightly entangled quantum computations, Phys
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Symmetry class alone sets SWSSB correlation length growth to exponential (Z2, tc ~ ln L) or algebraic (U(1), tc ~ L^alpha with alpha filling-dependent) in open quantum systems, independent of spectral gap.
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.
citing papers explorer
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Entanglement transitions in translation-invariant tensor networks
A transition between volume- and area-law entanglement occurs in row states evolved under transfer matrices of translation-invariant tensor networks, with a dense ring spectrum in the volume-law phase and a dominant eigenvalue in the area-law phase.
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Universal Dynamical Scaling of Strong-to-Weak Spontaneous Symmetry Breaking in Open Quantum Systems
Symmetry class alone sets SWSSB correlation length growth to exponential (Z2, tc ~ ln L) or algebraic (U(1), tc ~ L^alpha with alpha filling-dependent) in open quantum systems, independent of spectral gap.
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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.