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arXiv 2406.09510quant-ph
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拓扑鲁棒的量子网络非局域性

Topologically Robust Quantum Network Nonlocality

Sadra Boreiri, Tamas Krivachy, Pavel Sekatski, Antoine Girardin, Nicolas Brunner

AI总结:

本文研究网络结构不完全已知时的量子网络非局域性,证明仅需了解大型环状网络中2或3个相邻参与方的局部拓扑即可保证全局非局域性,并展示其在随机性和纠缠黑盒认证中的应用。

摘要:

我们讨论在网络结构不完全已知的情形下的量子网络贝尔非局域性。更具体地说,一个诚实的用户可以信任其本地网络拓扑,但不信任网络其余部分的结构,其中涉及遥远的(且可能不诚实的)参与方。我们证明,在这种情形下仍然可以展示量子网络非局域性,从而表现出拓扑鲁棒性。具体而言,我们给出了从一个简单网络获得的量子分布,即使经典模型基于更强大的网络,也无法复现这些分布。特别地,我们证明在一个大型环状网络中,仅知道网络结构的一小部分(仅涉及2或3个相邻参与方)就足以保证整个网络上的非局域性。这表明量子网络非局域性对网络拓扑的变化可以具有极强的鲁棒性。此外,我们证明量子非局域性的应用,例如随机性和纠缠的黑盒认证,在这种情形下也是可能的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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