Quantum-inspired modeling of social impact in complex networks with artificial intelligent agents

We propose a quantum-inspired framework for modeling open distributed intelligence systems (DISs) comprising natural intelligence agents (NIAs) and artificial intelligence agents (AIAs) that interact with each other. Each NIA – AIA pair represents a user and their digital assistant – an avatar imple...

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Bibliographic Details
Published in:Scientific reports Vol. 15; no. 1; pp. 35052 - 22
Main Authors: Alodjants, A. P., Tsarev, D. V., Zakharenko, P. V., Khrennikov, A. Yu, Boukhanovsky, A. V.
Format: Journal Article
Language:English
Published: London Nature Publishing Group UK 08.10.2025
Nature Publishing Group
Nature Portfolio
Subjects:
4007/2801
4014/2801
4014/477
631/477
639/705
639/766
Arousal
Artificial intelligence
Behavior
Cognition & reasoning
Computer and Information Sciences Computer Science
Data- och informationsvetenskap
Emotional behavior
Emotional intelligence
Emotions
Equilibrium
Heterogeneity
Humanities and Social Sciences
Large language models
multidisciplinary
Science
Science (multidisciplinary)
Social impact
Social networks
Social organization
ISSN:2045-2322, 2045-2322
Online Access:Get full text
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Summary:We propose a quantum-inspired framework for modeling open distributed intelligence systems (DISs) comprising natural intelligence agents (NIAs) and artificial intelligence agents (AIAs) that interact with each other. Each NIA – AIA pair represents a user and their digital assistant – an avatar implemented as an agent based on a large language model (LLM). The AIAs are interconnected through a complex, scale-free network and communicate with users and one another in real time. We focus on the social impact and evolution of users’ emotional states, which we model as simple, two-level cognitive systems shaped by interactions with AIAs and external information sources. Within this framework, the AIAs adiabatically follow the NIAs, mediating emotional influence by disseminating information and propagating user emotions throughout the system. Building on Mehrabian’s Pleasure–Arousal–Dominance (PAD) model and Wundt’s three-dimensional theory of emotions, we put forward a quantum-like representation of affective states on an emotional sphere. We demonstrate that the arousal component is governed by the interplay between external informational inputs and individual personality traits. This leads to the emergence of limiting cycles in emotional dynamics. Assuming weak AIA – AIA coupling, we identify two distinct regimes of affective behavior. In the first regime, coherent NIA – AIA interaction supports emotional heterogeneity and individual differentiation across the network. In the second regime, shared exposure to external information drives synchronized emotional responses, resulting in a macroscopic affective field that captures collective emotional dynamics. Furthermore, we demonstrate that the network’s structural properties, particularly node degree correlations, play a role analogous to quantum correlations in ensembles of two-level physical systems; a quantum-like superradiant state corresponds to the network-induced collective emotional activation of NIAs within a DIS. These findings advance our understanding of affective dynamics and emergent social phenomena in hybrid human–AI ecosystems.
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ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-025-22508-y