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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Numerical study of monitored fermions finds integrable cases fit by linear-to-power-law interpolation for entanglement scaling, SYK shows volume law, and t-V hints at transition, with unrelated anomalous delocalization in Hilbert space.
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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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Entanglement behavior and localization properties in monitored fermion systems
Numerical study of monitored fermions finds integrable cases fit by linear-to-power-law interpolation for entanglement scaling, SYK shows volume law, and t-V hints at transition, with unrelated anomalous delocalization in Hilbert space.