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

Abstract

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 this problem. Considering the simplest scenario of two preparations with lower bounded overlap, we show that genuine 3-outcome 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.

arXiv comment9 pages,7 figures

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Cited by in corpus (9)

• Semidefinite programming relaxations for quantum correlations
• Semi-device-independent framework based on restricted distrust in prepare-and-measure experiments
• Self-testing and certification using trusted quantum inputs
• Structure of dimension-bounded temporal correlations
• Information capacity of quantum communication under natural physical assumptions
• Self-testing of multiple unsharpness parameters through sequential violations of non-contextual inequality
• Number of quantum measurement outcomes as a resource
• A coherence-witnessing game and applications to semi-device-independent quantum key distribution
• Semi-device-independent randomness certification on discretized continuous-variable platforms