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Experimental Optimal Quantum State Estimation with Genuine Three-copy Collective Measurements. (arXiv:2312.01651v1 [quant-ph])

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Nonclassical phenomena tied to entangled states are focuses of foundational
studies and powerful resources in many applications. By contrast, the
counterparts on quantum measurements are still poorly understood. Notably,
genuine multipartite nonclassicality is barely discussed, not to say
experimental realization. Here we experimentally demonstrate the power of
genuine tripartite nonclassicality in quantum measurements based on a simple
estimation problem. To this end we realize an optimal genuine three-copy
collective measurement via a nine-step two-dimensional photonic quantum walk
with 30 elaborately designed coin operators. Then we realize an optimal
estimation protocol and achieve an unprecedented high estimation fidelity,
which can beat all strategies based on restricted collective measurements by
more than 11 standard deviations. These results clearly demonstrate that
genuine collective measurements can extract more information than local
measurements and restricted collective measurements. Our work opens the door
for exploring genuine multipartite nonclassical measurements and their power in
quantum information processing.

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