Discrimination and certification of unknown quantum measurements

• URL: http://arxiv.org/abs/2301.04948v3
• Date: Tue, 19 Mar 2024 17:37:35 GMT
• Title: Discrimination and certification of unknown quantum measurements
• Authors: Aleksandra Krawiec, Łukasz Pawela, Zbigniew Puchała,
• Abstract summary: We study the discrimination of von Neumann measurements in the scenario when we are given a reference measurement and some other measurement. We consider the cases when the reference measurement is given without the classical description and when its classical description is known.
• Score: 45.84205238554709
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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