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.
Measurement of the wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum
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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.