The maximally mixed state in the translation-invariant subspace of a 1D ring is long-range entangled because the dimension of translationally symmetric short-range entangled states grows polynomially while the full subspace grows exponentially.
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Long-range dipolar XY antiferromagnets on a breathed Kagome lattice host a robust chiral spin liquid, with DMRG phase diagrams and AMO-ready preparation and edge probes.
Log-depth nonlocal unitary circuits realize exact Z2 and Zn KW dualities that map arbitrary SRE states to LRE duals in the symmetric sector.
Mutual information between non-contractible regions on the torus fully classifies long-range nonstabilizerness for toric-code states but leaves a finite subset undetected in the doubled-Fibonacci string-net model.
The paper shows phase equivalence for two 1D mixed-state phases connected by a phase transition by constructing low-depth channel circuits from parent Lindbladians, generalizing the analysis to intrinsically nontrivial cases beyond fixed points.
citing papers explorer
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Mixed-State Long-Range Entanglement from Dimensional Constraints
The maximally mixed state in the translation-invariant subspace of a 1D ring is long-range entangled because the dimension of translationally symmetric short-range entangled states grows polynomially while the full subspace grows exponentially.
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A Dipolar Chiral Spin Liquid on the Breathed Kagome Lattice
Long-range dipolar XY antiferromagnets on a breathed Kagome lattice host a robust chiral spin liquid, with DMRG phase diagrams and AMO-ready preparation and edge probes.
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Shallow Unitary Circuits for Kramers-Wannier Dualities
Log-depth nonlocal unitary circuits realize exact Z2 and Zn KW dualities that map arbitrary SRE states to LRE duals in the symmetric sector.
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Long-range nonstabilizerness of topologically encoded states from mutual information
Mutual information between non-contractible regions on the torus fully classifies long-range nonstabilizerness for toric-code states but leaves a finite subset undetected in the doubled-Fibonacci string-net model.
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Establishing Mixed-State Phase Equivalence beyond Renormalization Fixed Points
The paper shows phase equivalence for two 1D mixed-state phases connected by a phase transition by constructing low-depth channel circuits from parent Lindbladians, generalizing the analysis to intrinsically nontrivial cases beyond fixed points.