A subclass of Goldilocks QCA including the experimentally implemented one are integrable by mapping to free fermions, with local conserved quantities computed for hardware testing.
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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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Integrability of Goldilocks quantum cellular automata
A subclass of Goldilocks QCA including the experimentally implemented one are integrable by mapping to free fermions, with local conserved quantities computed for hardware testing.
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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.