01530nas a2200157   4500000000100000008004100001260001200042100002300054700001900077700002200096245006900118856004700187490000600234520111800240022001401358       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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