Device-independent certification of entangled measurements
Rafael Rabelo, Melvyn Ho, Daniel Cavalcanti, Nicolas Brunner, Valerio, Scarani

TL;DR
This paper introduces a device-independent method to verify entangled measurements using a three-party protocol and Bell inequalities, enabling the certification of entanglement in measurement devices without relying on trust.
Contribution
The paper proposes a novel device-independent protocol for certifying entangled measurements, extending Bell test techniques to measurement devices in a multi-party setting.
Findings
The protocol successfully detects entangled measurements in a three-party setup.
Quantitative characterization of measurement deviation from ideal Bell state measurement.
Applicable to qubit systems, demonstrating practical relevance.
Abstract
We present a device-independent protocol to test if a given black-box measurement device is entangled, that is, has entangled eigenstates. Our scheme involves three parties and is inspired by entanglement swapping; the test uses the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality, checked between each pair of parties. Also, focusing on the case where all particles are qubits, we characterize quantitatively the deviation of the measurement device from a perfect Bell state measurement.
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