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Entangled N-photon states for fair and optimal social decision making
Situations involving competition for resources among entities can be modeled by the competitive multi-armed bandit (CMAB) problem, which relates to social issues such as maximizing the total outcome and achieving the fairest resource repartition among individuals. In these respects, the intrinsic ra...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7686359/ https://www.ncbi.nlm.nih.gov/pubmed/33235231 http://dx.doi.org/10.1038/s41598-020-77340-3 |
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author | Chauvet, Nicolas Bachelier, Guillaume Huant, Serge Saigo, Hayato Hori, Hirokazu Naruse, Makoto |
author_facet | Chauvet, Nicolas Bachelier, Guillaume Huant, Serge Saigo, Hayato Hori, Hirokazu Naruse, Makoto |
author_sort | Chauvet, Nicolas |
collection | PubMed |
description | Situations involving competition for resources among entities can be modeled by the competitive multi-armed bandit (CMAB) problem, which relates to social issues such as maximizing the total outcome and achieving the fairest resource repartition among individuals. In these respects, the intrinsic randomness and global properties of quantum states provide ideal tools for obtaining optimal solutions to this problem. Based on the previous study of the CMAB problem in the two-arm, two-player case, this paper presents the theoretical principles necessary to find polarization-entangled N-photon states that can optimize the total resource output while ensuring equality among players. These principles were applied to two-, three-, four-, and five-player cases by using numerical simulations to reproduce realistic configurations and find the best strategies to overcome potential misalignment between the polarization measurement systems of the players. Although a general formula for the N-player case is not presented here, general derivation rules and a verification algorithm are proposed. This report demonstrates the potential usability of quantum states in collective decision making with limited, probabilistic resources, which could serve as a first step toward quantum-based resource allocation systems. |
format | Online Article Text |
id | pubmed-7686359 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-76863592020-11-27 Entangled N-photon states for fair and optimal social decision making Chauvet, Nicolas Bachelier, Guillaume Huant, Serge Saigo, Hayato Hori, Hirokazu Naruse, Makoto Sci Rep Article Situations involving competition for resources among entities can be modeled by the competitive multi-armed bandit (CMAB) problem, which relates to social issues such as maximizing the total outcome and achieving the fairest resource repartition among individuals. In these respects, the intrinsic randomness and global properties of quantum states provide ideal tools for obtaining optimal solutions to this problem. Based on the previous study of the CMAB problem in the two-arm, two-player case, this paper presents the theoretical principles necessary to find polarization-entangled N-photon states that can optimize the total resource output while ensuring equality among players. These principles were applied to two-, three-, four-, and five-player cases by using numerical simulations to reproduce realistic configurations and find the best strategies to overcome potential misalignment between the polarization measurement systems of the players. Although a general formula for the N-player case is not presented here, general derivation rules and a verification algorithm are proposed. This report demonstrates the potential usability of quantum states in collective decision making with limited, probabilistic resources, which could serve as a first step toward quantum-based resource allocation systems. Nature Publishing Group UK 2020-11-24 /pmc/articles/PMC7686359/ /pubmed/33235231 http://dx.doi.org/10.1038/s41598-020-77340-3 Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Chauvet, Nicolas Bachelier, Guillaume Huant, Serge Saigo, Hayato Hori, Hirokazu Naruse, Makoto Entangled N-photon states for fair and optimal social decision making |
title | Entangled N-photon states for fair and optimal social decision making |
title_full | Entangled N-photon states for fair and optimal social decision making |
title_fullStr | Entangled N-photon states for fair and optimal social decision making |
title_full_unstemmed | Entangled N-photon states for fair and optimal social decision making |
title_short | Entangled N-photon states for fair and optimal social decision making |
title_sort | entangled n-photon states for fair and optimal social decision making |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7686359/ https://www.ncbi.nlm.nih.gov/pubmed/33235231 http://dx.doi.org/10.1038/s41598-020-77340-3 |
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