Semi-device-independent characterization of quantum measurements under a minimum overlap assumption

Weixu Shi*, Yu Cai, Jonatan Bohr Brask, Hugo Zbinden, Nicolas Brunner

*Corresponding author for this work

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Recently, a novel framework for semi-device-independent quantum prepare-and-measure protocols has been proposed, based on the assumption of a limited distinguishability between the prepared quantum states. Here, we discuss the problem of characterizing an unknown quantum measurement device in this setting. We present several methods to attack the problem. Considering the simplest scenario of two preparations with lower bounded overlap, we show that genuine three-outcome positive-operator valued measures (POVMs) can be certified, even in the presence of noise. Moreover, we show that the optimal POVM for performing unambiguous state discrimination can be self-tested.
Original languageEnglish
Article number042108
JournalPhysical Review A
Issue number4
Number of pages9
Publication statusPublished - 2019

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