Topologically Robust Quantum Network Nonlocality

Fuente: arXiv
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Hauptverfasser: Boreiri, Sadra, Krivachy, Tamas, Sekatski, Pavel, Girardin, Antoine, Brunner, Nicolas
Format: Preprint
Veröffentlicht: 2024
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author Boreiri, Sadra
Krivachy, Tamas
Sekatski, Pavel
Girardin, Antoine
Brunner, Nicolas
author_facet Boreiri, Sadra
Krivachy, Tamas
Sekatski, Pavel
Girardin, Antoine
Brunner, Nicolas
contents We discuss quantum network Bell nonlocality in a setting where the network structure is not fully known. More concretely, an honest user may trust their local network topology, but not the structure of the rest of the network, involving distant (and potentially dishonest) parties. We demonstrate that quantum network nonlocality can still be demonstrated in such a setting, hence exhibiting topological robustness. Specifically, we present quantum distributions obtained from a simple network that cannot be reproduced by classical models, even when the latter are based on more powerful networks. In particular, we show that in a large ring network, the knowledge of only a small part of the network structure (involving only 2 or 3 neighbouring parties) is enough to guarantee nonlocality over the entire network. This shows that quantum network nonlocality can be extremely robust to changes in the network topology. Moreover, we demonstrate that applications of quantum nonlocality, such as the black-box certification of randomness and entanglement, are also possible in such a setting.
format Preprint
id arxiv_https___arxiv_org_abs_2406_09510
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Topologically Robust Quantum Network Nonlocality
Boreiri, Sadra
Krivachy, Tamas
Sekatski, Pavel
Girardin, Antoine
Brunner, Nicolas
Quantum Physics
We discuss quantum network Bell nonlocality in a setting where the network structure is not fully known. More concretely, an honest user may trust their local network topology, but not the structure of the rest of the network, involving distant (and potentially dishonest) parties. We demonstrate that quantum network nonlocality can still be demonstrated in such a setting, hence exhibiting topological robustness. Specifically, we present quantum distributions obtained from a simple network that cannot be reproduced by classical models, even when the latter are based on more powerful networks. In particular, we show that in a large ring network, the knowledge of only a small part of the network structure (involving only 2 or 3 neighbouring parties) is enough to guarantee nonlocality over the entire network. This shows that quantum network nonlocality can be extremely robust to changes in the network topology. Moreover, we demonstrate that applications of quantum nonlocality, such as the black-box certification of randomness and entanglement, are also possible in such a setting.
title Topologically Robust Quantum Network Nonlocality
topic Quantum Physics
url https://arxiv.org/abs/2406.09510