Overlapped grouping enables linear-in-terms variance reduction for quantum energy estimation via a new repacking algorithm, with numerical gains growing with problem size.
Then the minimum-variance unbiased energy estima- tor (17) is attained by the heuristic estimator (18)
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Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance
Overlapped grouping enables linear-in-terms variance reduction for quantum energy estimation via a new repacking algorithm, with numerical gains growing with problem size.