Nonlocal magic in fermionic Gaussian states is bounded by the entanglement spectrum of the covariance matrix, is extensive in the Haar ensemble, peaks at criticality in the Kitaev chain, and grows diffusively under random circuits.
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The information lattice distinguishes metals from insulators via power-law versus exponential decay of information per scale in 1D tight-binding models.
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Nonlocal nonstabilizerness in free fermion models
Nonlocal magic in fermionic Gaussian states is bounded by the entanglement spectrum of the covariance matrix, is extensive in the Haar ensemble, peaks at criticality in the Kitaev chain, and grows diffusively under random circuits.
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Information lattice approach to the metal-insulator transition
The information lattice distinguishes metals from insulators via power-law versus exponential decay of information per scale in 1D tight-binding models.