判别噪声条件下星型网络非n局域关联
Discriminating the Non-n-Locality Correlations in Noisy Star Network
DOI: 10.12677/aam.2025.145227, PDF,    国家自然科学基金支持
作者: 韩玥冉, 贺 衎*：太原理工大学数学学院，山西 太原
关键词: 量子非局域性；星型网络；量子噪声；Quantum Nonlocality； Star Network； Quantum Noise
摘要: 现实情况下，理想的量子网络并不存在，更多的是含噪声的量子网络，在噪声情况下的量子网络会随着资源数量n的增加，其非n局域性会逐渐降低。而不同量子网络中的非多局域关联在抗噪声干扰方面表现不同。所以在本文中，单独研究了噪声星型网络的非局域性情况，计算出其不等式判据，并推导出在不同噪声情况下星型网络的非局域判断标准，由此可以判断出在给定噪声参数的情况下，不同资源数的星型网络的非局域性情况。
Abstract: In reality, the ideal quantum network does not exist. Instead, what we have more often are quantum networks with noise. In a quantum network under noisy conditions, as the number n of resources increases, its non-n-locality will gradually decrease. Moreover, the non-multi-locality correlations in different quantum networks exhibit different performances in terms of resistance to noise interference. Therefore, in this paper, the non-locality situation of the noisy star-shaped quantum network is studied separately. The inequality criterion is calculated, and the non-locality judgment criteria for the star-shaped network under different noisy conditions are derived. Thus, it is possible to determine the non-locality situation of star-shaped networks with different numbers of resources under the given noise parameters.
文章引用：韩玥冉, 贺衎. 判别噪声条件下星型网络非n局域关联[J]. 应用数学进展, 2025, 14(5): 1-8. https://doi.org/10.12677/aam.2025.145227

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