Discrimination and certification of unknown quantum measurements

TL;DR

This paper investigates methods for distinguishing and certifying unknown quantum measurements, providing optimal schemes for verifying measurement identities in quantum systems.

Contribution

It introduces new discrimination and certification schemes for unknown quantum measurements, including cases with and without classical descriptions, in symmetric and asymmetric setups.

Findings

Optimal discrimination strategies for von Neumann measurements.

Certification schemes for verifying known measurements against unknown ones.

Analysis of symmetric and asymmetric discrimination scenarios.

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.