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arXiv 2402.08003quant-ph
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从统计数据进行模型无关的量子相互作用推断

Model-independent inference of quantum interaction from statistics

Shubhayan Sarkar

AI总结:

本文提出一种模型无关的量子相互作用推断方法,仅假设系统遵循量子理论,利用贝尔不等式从统计数据推断纠缠相互作用,并推广到任意数量系统。

摘要:

任何物理理论都旨在通过物理系统之间的相互作用来建立这些系统之间的关系。然而,文献中任何已知的推断这种相互作用的方法都依赖于对所涉及物理系统的特定建模。在此,我们提出一种替代方法,其中无需对所涉及的系统进行建模,而只需假设这些系统按照量子理论运行。我们首先提出一种实验设置,用于从统计数据中推断两个系统之间特定的纠缠量子相互作用。为此,我们利用贝尔不等式框架。随后,我们将该设置扩展至任意数量的量子系统通过某种纠缠相互作用发生关联的情形。

英文摘要:

Any physical theory aims to establish the relationship between physical systems in terms of the interaction between these systems. However, any known approach in the literature to infer this interaction is dependent on the particular modelling of the physical systems involved. Here, we propose an alternative approach where one does not need to model the systems involved but only assume that these systems behave according to quantum theory. We first propose a setup to infer a particular entangling quantum interaction between two systems from the statistics. For our purpose, we utilise the framework of Bell inequalities. We then extend this setup where an arbitrary number of quantum systems interact via some entangling interaction.

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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