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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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.
Long-range dipolar interactions on a breathed Kagome lattice stabilize a chiral spin liquid, identified via DMRG and proposed for adiabatic preparation and edge-mode detection.
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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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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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A Dipolar Chiral Spin Liquid on the Breathed Kagome Lattice
Long-range dipolar interactions on a breathed Kagome lattice stabilize a chiral spin liquid, identified via DMRG and proposed for adiabatic preparation and edge-mode detection.