Haar random qubit states show vanishing fermionic non-Gaussianity for subsystems smaller than half the total size without symmetry, small but finite non-Gaussianity with U(1) symmetry, and extensive non-Gaussianity for larger subsystems.
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Non-stabilizerness of the Hubbard dimer is computed with robustness of magic and stabilizer Rényi entropy, revealing it as a resource distinct from fermionic non-Gaussianity and superselected entanglement.
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Non-Gaussianity of random quantum states
Haar random qubit states show vanishing fermionic non-Gaussianity for subsystems smaller than half the total size without symmetry, small but finite non-Gaussianity with U(1) symmetry, and extensive non-Gaussianity for larger subsystems.
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Quantum magic of strongly correlated fermions $-$ the Hubbard dimer
Non-stabilizerness of the Hubbard dimer is computed with robustness of magic and stabilizer Rényi entropy, revealing it as a resource distinct from fermionic non-Gaussianity and superselected entanglement.