arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2401.01352physics.soc-phquant-ph
收藏

基于量子 Galois 噪声信道的社会舆论传播讨论模型:纠缠、超级传播者

Discussion Model for Propagation of Social Opinion via Quantum Galois Noise Channels:Entanglement, SuperSpreader

Yasuko Kawahata

AI总结:

本文提出基于量子 Galois 噪声信道的舆论动力学模型,结合偏迹、纠缠及酉变换模拟舆论传播与超级传播者影响,并利用 Holevo 信道探讨抑制机制,为理解社会互动提供了新框架。

摘要:

我们将经典和量子信道的概念应用于舆论动力学建模,并提出一种表示个体与群体舆论时间变化的随机方法。特别地,我们使用量子 Galois 噪声信道将量子信息论与社会互动耦合,构建了一个考虑错误率和噪声效应的舆论动力学新模型。该模型通过引入偏迹和纠缠的概念,捕获了更复杂的舆论传播与互动。我们还考虑了超级传播者在噪声信息传播中的作用及其抑制机制,并在数学模型中表示了这些动力学。我们使用酉变换对超级传播者影响个体间互动的作用进行建模,并提出了一种衡量社会可信度的新方法。此外,我们详细阐述了使用 Holevo 信道对舆论传播与抑制进行建模的过程。这些模型为更好地理解社会互动提供了新框架,并拓展了量子信息论的潜在应用。

英文摘要:

We apply the concepts of classical and quantum channels to the modeling of opinion dynamics and propose a stochastic method for representing the temporal variation of individual and group opinions. In particular, we use quantum Galois noise channels to couple quantum information theory with social interaction to construct a new model of opinion dynamics that accounts for error rates and noise effects. This model captures more complex opinion propagation and interaction by incorporating the concepts of partial traces and entanglement. We also consider the role of superspreaders in the propagation of noisy information and their suppression mechanisms, and represent these dynamics in a mathematical model. We model the influence of superspreaders on interactions between individuals using unitary transformations and propose a new approach to measure social trustworthiness. In addition, we elaborate on the modeling of opinion propagation and suppression using Holevo channels. These models provide a new framework for a better understanding of social interactions and expand the potential applications of quantum information theory.

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。

↑