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Schematic of NN-based QST. (a) Obtain the measured frequencies 
and the ground truth of 
via Cholesky decomposition for state 
. (b) A multilayer NN model to map the frequency vector 
to a predicted real vector 
, and the NN model is trained to minimize the mean squared error between the predicted 
and the expected value 
. (c) Obtain a physical density matrix 
from the optimal 
. The notation Arg indicates the complex phase (in radians) of each density matrix element.
