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arXiv · 2310.04310

Spreading of information on a network: a quantum view

F. Bagarello·F. Gargano·M. Gorgone·F. Oliveri
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Abstract

This paper concerns the modeling of the spread of information through a complex, multi-layered network, where the information is transferred from an initial transmitter to a final receiver. The mathematical model is deduced within the framework of operatorial methods, according to the formal mathematical apparatus typical of quantum mechanics. Two different approaches are considered: one based on the ($H,\rho$)-induced dynamics and one on the Gorini--Kossakowski--Sudarshan--Lindblad (GKSL) equation. For each method, numerical results are presented.

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F. Bagarello, F. Gargano, M. Gorgone, F. Oliveri. 2023-10-06. Spreading of information on a network: a quantum view. https://doi.org/10.3390/e25101438

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