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I hope this message finds you well.
When using Classical shadow for properties prediction. We always not reconstruct the full state via shadows because it takes an exponential amount of resources. One better method is to use Median-of-Means estimation to predict fidelities between the system and the target state. I tried to add a new function median-of-means-est to fix this problem and add a pull request.
Best regards.
Micheal Chen
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