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

Massimiliano Smania , Piotr Mironowicz , Mohamed Nawareg , Marcin Pawłowski , Adán Cabello , Mohamed Bourennane

Abstract

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.
Author Massimiliano Smania
Massimiliano Smania,,
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, Piotr Mironowicz - [Politechnika Gdańska]
Piotr Mironowicz,,
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- Politechnika Gdańska
, Mohamed Nawareg - [Stockholm University]
Mohamed Nawareg ,,
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- Uniwersytet w Sztokholmie
, Marcin Pawłowski (ICTQT)
Marcin Pawłowski,,
- International Centre for Theory of Quantum Technologies
, Adán Cabello
Adán Cabello,,
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, Mohamed Bourennane
Mohamed Bourennane,,
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Journal seriesOptica, ISSN 2334-2536, (N/A 200 pkt)
Issue year2020
Vol7
No2
Pages123-128
Publication size in sheets0.5
ASJC Classification2504 Electronic, Optical and Magnetic Materials; 3107 Atomic and Molecular Physics, and Optics
DOIDOI:10.1364/OPTICA.377959
URL https://www.osapublishing.org/optica/viewmedia.cfm?uri=optica-7-2-123&seq=0
Languageen angielski
LicenseJournal (articles only); published final; Uznanie Autorstwa (CC-BY); with publication
Score (nominal)200
Score sourcejournalList
ScoreMinisterial score = 200.0, 14-05-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2017 = 2.806; WoS Impact Factor: 2018 = 9.263 (2) - 2018=9.13 (5)
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