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.
[37] identifies the distortion problem as that Fd,p( ˆS, S) = 1 only guarantees ˆS/Tr( ˆS) =S/Tr(S) rather than ˆS=Swhen Tr(S) is unknown
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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.