Minimal informationally complete positive operator-valued measures (MIC-POVMs) are special kinds of measurement in quantum theory in which the statistics of their d2-outcomes are enough to reconstruct any d-dimensional quantum state. For this reason, MIC-POVMs are referred to as standard measurements for quantum information. Here, we report an experiment with entangled photon pairs that certifies, for what we believe is the first time, a MIC-POVM for qubits following a device-independent protocol (i.e., modeling the state preparation and the measurement devices as black boxes, and using only the statistics of the inputs and outputs). Our certification is achieved under the assumption of freedom of choice, no communication, and fair sampling.
@article{arxiv.1811.12851,
title = {Experimental certification of an informationally complete quantum measurement in a device-independent protocol},
author = {Massimiliano Smania and Piotr Mironowicz and Mohamed Nawareg and Marcin Pawłowski and Adán Cabello and Mohamed Bourennane},
journal= {arXiv preprint arXiv:1811.12851},
year = {2020}
}
Comments
6 pages, 4 figures, 2 tables, 3 pages of supplementary material