Z-only measurements classify small IQP, Clifford, and Clifford+T circuits with up to 0.91 accuracy and outperform classical shadows, but all four strategies drop to chance level above 12 qubits with quadratic shots.
Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
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Polynomial Resource Classification of Quantum Circuit Familes via Classical Shadows
Z-only measurements classify small IQP, Clifford, and Clifford+T circuits with up to 0.91 accuracy and outperform classical shadows, but all four strategies drop to chance level above 12 qubits with quadratic shots.