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Quantum social networks

Cabello, Adán; Danielsen, Lars Eirik; López-Tarrida, Antonio J.; Portillo, José R.
Peer reviewed, Journal article
Accepted version
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URI
https://hdl.handle.net/1956/6553
Date
2012-06-27
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  • Department of Informatics [882]
Original version
Journal of Physics A: Mathematical and Theoretical. 2012, 45 (28), 285101.   https://doi.org/10.1088/1751-8113/45/28/285101
Abstract
We introduce a physical approach to social networks (SNs) in which each actor is characterized by a yes–no test on a physical system. This allows us to consider SNs beyond those originated by interactions based on pre-existing properties, as in a classical SN (CSN). As an example of SNs beyond CSNs, we introduce quantum SNs (QSNs) in which actor i is characterized by a test of whether or not the system is in a quantum state |ψi⟩. We show that QSNs outperform CSNs for a certain task and some graphs. We identify the simplest of these graphs and show that graphs in which QSNs outperform CSNs are increasingly frequent as the number of vertices increases. We also discuss more general SNs and identify the simplest graphs in which QSNs cannot be outperformed.
Publisher
Institute of Physics
Journal
Journal of Physics A: Mathematical and Theoretical
Copyright
Copyright 2012 IOP Publishing Ltd

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