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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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Permanent lenke
https://hdl.handle.net/1956/6553
Utgivelsesdato
2012-06-27
Metadata
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  • Department of Informatics [738]
Originalversjon
https://doi.org/10.1088/1751-8113/45/28/285101
Sammendrag
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.
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Institute of Physics
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Copyright 2012 IOP Publishing Ltd

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