01543nas a2200169   4500000000100000000000100001008004100002260001200043100002300055700001900078700002200097245006900119856004700188490000600235520111800241022001401359       2024                            d  c02/20241 aAleksandra Krawiec1 aŁukasz Pawela1 aZbigniew Puchała00aDiscrimination and certification of unknown quantum measurements  uhttps://doi.org/10.22331/q-2024-02-29-12690 v83 a<p><span style="font-family:sans-serif; font-size:14.944px">We study the discrimination of von Neumann measurement in the scenario</span><span style="font-family:sans-serif; font-size:14.944px"> when we are given a reference measurement and some other measurement. The aim of</span><span style="font-family:sans-serif; font-size:14.944px"> the discrimination is to determine whether the other measurement is the same as the</span><span style="font-family:sans-serif; font-size:14.944px"> first one. We consider the cases when the reference measurement is given without the</span><span style="font-family:sans-serif; font-size:14.944px"> classical description and when its classical description is known. Both cases are studied</span><span style="font-family:sans-serif; font-size:14.944px"> in the symmetric and asymmetric discrimination setups. Moreover, we provide optimal</span><span style="font-family:sans-serif; font-size:14.944px"> certification schemes enabling us to certify a known quantum measurement against the</span><span style="font-family:sans-serif; font-size:14.944px"> unknown one.</span></p>
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