Experimental certification of an informationally complete quantum measurement in a device-independent protocol

• Main Authors: Smania, Massimiliano, Mironowicz, Piotr, Nawareg, Mohamed, Pawłowski, Marcin, Cabello, Adán, Bourennane, Mohamed
• Format: Journal Article
• Language: English
• Published: 12-02-2020
• Subjects: Physics - Quantum Physics
• DOI: 10.48550/arxiv.1811.12851

Optica 7 (2020) 123-128 Minimal informationally complete positive operator-valued measures
(MIC-POVMs) are special kinds of measurement in quantum theory in which the
statistics of their $d^2$-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.