Researchers establish how fermionic non-local magic scales in higher dimensions through entanglement spectrum analysis, with bounds connecting magic to capacity of entanglement and applications to topological phases.

Researchers establish how fermionic non-local magic scales in higher dimensions through entanglement spectrum analysis, with bounds connecting magic to capacity of entanglement and applications to topological phases.
Rigorous proof that weakly interacting fermion systems have Gibbs states forming Gaussian mixtures, enabling efficient polynomial-time classical simulation at any finite temperature without requiring low dimensionality or special symmetries.
Fermionic Gibbs states of weakly perturbed systems decompose into Gaussian state mixtures at low temperatures, with asymptotically tight temperature bounds revealing distinct mechanisms in weak and strong coupling Fermi-Hubbard regimes.