Discrimination and certification of unknown quantum measurements

Author Krawiec A.; Pawela Ł.; Puchała Z.
Title Discrimination and certification of unknown quantum measurements
Journal Quantum
Year 2024
Status Published
Volume 8
DOI 10.22331/q-2024-02-29-1269
URL https://doi.org/10.22331/q-2024-02-29-1269
Abstract <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>
ISSN 2521-327X
PDF q-2024-02-29-1269.pdf