Joint-measurability and quantum communication with untrusted devices
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910762998431744 |
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| author | Masini, Michele Ioannou, Marie Brunner, Nicolas Pironio, Stefano Sekatski, Pavel |
| author_facet | Masini, Michele Ioannou, Marie Brunner, Nicolas Pironio, Stefano Sekatski, Pavel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Joint-measurability and quantum communication with untrusted devices Masini, Michele Ioannou, Marie Brunner, Nicolas Pironio, Stefano Sekatski, Pavel Quantum Physics 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. |
| title | Joint-measurability and quantum communication with untrusted devices |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2403.14785 |