Ancilla-Assisted Calibration of a Measuring Apparatus
G. Brida, L. Ciavarella, I. P. Degiovanni, M. Genovese, A. Migdall, M., G. Mingolla, M. G. A. Paris, F. Piacentini, and S. V. Polyakov

TL;DR
This paper demonstrates an experimental method for reconstructing quantum measurement devices using nonclassical correlations, improving robustness over classical approaches, with potential applications in quantum sensing and information processing.
Contribution
It introduces the first POVM reconstruction protocol that leverages quantum correlations with an ancillary system, enhancing robustness and efficiency.
Findings
Successful reconstruction of a photon-number-resolving detector's POVM.
Quantum correlations improve statistical robustness of POVM estimation.
Experimental validation using twin beams from parametric down-conversion.
Abstract
A quantum measurement can be described by a set of matrices, one for each possible outcome, which represents the positive operator-valued measure (POVM) of the sensor. Efficient protocols of POVM extraction for arbitrary sensors are required. We present the first experimental POVM reconstruction that takes explicit advantage of a quantum resource, i.e., nonclassical correlations with an ancillary state. A POVM of a photon-number-resolving detector is reconstructed by using strong quantum correlations of twin beams generated by parametric down-conversion. Our reconstruction method is more statistically robust than POVM reconstruction methods that use classical input states.
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