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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A graph-based method is proposed to study entanglement entropy in CSS quantum codes, with illustrations on toric codes and quantum LDPC codes showing scaling behavior.
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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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A graph-based approach to entanglement entropy of quantum error correcting codes
A graph-based method is proposed to study entanglement entropy in CSS quantum codes, with illustrations on toric codes and quantum LDPC codes showing scaling behavior.