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

TL;DR

This paper introduces a novel self-testing protocol for binary Pauli measurements using Leggett-Garg inequality violations, which does not require entanglement or dimensional restrictions, simplifying quantum device certification.

Contribution

It presents the first self-testing method for measurements based on temporal correlations without entanglement or dimension constraints.

Findings

Protocol successfully certifies binary Pauli measurements.

No entanglement or dimensional assumptions needed.

Robustness analysis supports practical applicability.

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 self-testing 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.