Fermionic entropy is proven to be a strong, efficiently measurable monotone for fermionic non-Gaussianity, yielding a Theta(n) doping lower bound for matchgate-based approximate state designs.
Vershynina, Physical Review A 90 (2014), 10.1103/physreva.90.062329
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Fermionic entropy: an efficiently measurable strong monotone for non-Gaussianity
Fermionic entropy is proven to be a strong, efficiently measurable monotone for fermionic non-Gaussianity, yielding a Theta(n) doping lower bound for matchgate-based approximate state designs.