Self-testing of binary Pauli measurements requiring neither entanglement nor any dimensional restriction

Abstract

Characterization of quantum devices received from unknown providers is a significant primary task for any quantum information processing protocol. Self-testing protocols are designed for this purpose of certifying quantum components from the observed statistics under a set of minimal assumptions. Here we propose a selftesting protocol for certifying binary Pauli measurements employing the violation of a Leggett-Garg inequality. The scenario based on temporal correlations does not require entanglement, a costly and fragile resource. Moreover, unlike previously proposed self-testing protocols in the prepare and measure scenario, our approach requires neither dimensional restrictions, nor other stringent assumptions on the type of measurements. We further analyse the robustness of this hitherto unexplored domain of self-testing of measurements.

Detecting violations of macrorealism when the original Leggett-Garg inequalities are satisfied

“…An immediate one, is the experimental tests of the systems identified that violate MR but satisfy the LGIs. A broader extension, is the refinement of the different protocols for detecting quantum behaviour, such as protocols for certifying quantum components uniquely and device-independently [49][50][51], to be robust against case where the LGIs are satisfied but MR is still violate. A third extension of this work is identifying the relationship between the different MR conditions which have been discovered over the past decade (those explored in this paper [17][18][19][24][25][26][27] as well as others [52,53]).…”