Self-testing entangled measurements in quantum networks
Marc-Olivier Renou, J\k{e}drzej Kaniewski, Nicolas Brunner

TL;DR
This paper develops methods for self-testing entangled quantum measurements in networks, particularly certifying Bell-state measurements with robustness to noise, advancing quantum network verification techniques.
Contribution
It introduces a natural assumption-based framework for self-testing entangled measurements, including a robust method for Bell-state measurement certification.
Findings
Robust self-test for Bell-state measurement with up to 5% noise tolerance
Framework based on independence assumption of sources in quantum networks
Discussion of generalizations to other entangled measurements
Abstract
Self-testing refers to the possibility of characterizing an unknown quantum device based only on the observed statistics. Here we develop methods for self-testing entangled quantum measurements, a key element for quantum networks. Our approach is based on the natural assumption that separated physical sources in a network should be considered independent. This provides a natural formulation of the problem of certifying entangled measurements. Considering the setup of entanglement swapping, we derive a robust self-test for the Bell-state measurement, tolerating noise levels up to 5%. We also discuss generalizations to other entangled measurements.
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