Discrimination and certification of unknown quantum measurements

Author:

Krawiec Aleksandra12ORCID,Pawela Łukasz1ORCID,Puchała Zbigniew1ORCID

Affiliation:

1. Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, ul. Bałtycka 5, 44-100 Gliwice, Poland

2. AstroCeNT, Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences, ul. Rektorska 4, 00-614 Warsaw, Poland

Abstract

We study the discrimination of von Neumann measurements in the scenario when we are given a reference measurement and some other measurement. The aim of the discrimination is to determine whether the other measurement is the same as the first one. We consider the cases when the reference measurement is given without the classical description and when its classical description is known. Both cases are studied in the symmetric and asymmetric discrimination setups. Moreover, we provide optimal certification schemes enabling us to certify a known quantum measurement against the unknown one.

Funder

Foundation for Polish Science co-financed by the European Union under the European Regional Development Fund

National Science Center, Poland

Publisher

Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

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