Joint-measurability and quantum communication with untrusted devices

• URL: http://arxiv.org/abs/2403.14785v1
• Date: Thu, 21 Mar 2024 19:00:05 GMT
• Title: Joint-measurability and quantum communication with untrusted devices
• Authors: Michele Masini, Marie Ioannou, Nicolas Brunner, Stefano Pironio, Pavel Sekatski,
• Abstract summary: We develop a general framework for characterizing the admissible levels of loss and noise in a wide range of scenarios and protocols with untrusted measurement devices. A key step in our work is to establish a general connection between quantum protocols with untrusted measurement devices.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Photon loss represents a major challenge for the implementation of quantum communication protocols with untrusted devices, e.g. in the device-independent (DI) or semi-DI approaches. Determining critical loss thresholds is usually done in case-by-case studies. In the present work, we develop a general framework for characterizing the admissible levels of loss and noise in a wide range of scenarios and protocols with untrusted measurement devices. In particular, we present general bounds that apply to prepare-and-measure protocols for the semi-DI approach, as well as to Bell tests for DI protocols. A key step in our work is to establish a general connection between quantum protocols with untrusted measurement devices and the fundamental notions of channel extendibility and joint-measurability, which capture essential aspects of the communication and measurement of quantum information. In particular, this leads us to introduce the notion of partial joint-measurability, which naturally arises within quantum cryptography.

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