A single condition, accurate MSE plus accurate zero-eigenvalue estimates, is necessary and sufficient for optimal infidelity scaling in state, detector, and process tomography, and adaptive algorithms based on it achieve O(1/N) error in numerical and optical experiments.
Ferrie, Self-guided quantum tomography, Physical Re- view Letters113, 190404 (2014)
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Unified formalism and adaptive algorithms for optimal quantum state, detector and process tomography
A single condition, accurate MSE plus accurate zero-eigenvalue estimates, is necessary and sufficient for optimal infidelity scaling in state, detector, and process tomography, and adaptive algorithms based on it achieve O(1/N) error in numerical and optical experiments.