Entangled N-photon states for fair and optimal social decision making

Abstract 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 int...

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Autores principales:	Nicolas Chauvet, Guillaume Bachelier, Serge Huant, Hayato Saigo, Hirokazu Hori, Makoto Naruse
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/5e90ce3f1bce4749b21312af0ea7ec75
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spelling	oai:doaj.org-article:5e90ce3f1bce4749b21312af0ea7ec752021-12-02T12:33:53ZEntangled N-photon states for fair and optimal social decision making10.1038/s41598-020-77340-32045-2322https://doaj.org/article/5e90ce3f1bce4749b21312af0ea7ec752020-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-77340-3https://doaj.org/toc/2045-2322Abstract 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.Nicolas ChauvetGuillaume BachelierSerge HuantHayato SaigoHirokazu HoriMakoto NaruseNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-12 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Nicolas Chauvet Guillaume Bachelier Serge Huant Hayato Saigo Hirokazu Hori Makoto Naruse Entangled N-photon states for fair and optimal social decision making
description	Abstract 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	article
author	Nicolas Chauvet Guillaume Bachelier Serge Huant Hayato Saigo Hirokazu Hori Makoto Naruse
author_facet	Nicolas Chauvet Guillaume Bachelier Serge Huant Hayato Saigo Hirokazu Hori Makoto Naruse
author_sort	Nicolas Chauvet
title	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_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_sort	entangled n-photon states for fair and optimal social decision making
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/5e90ce3f1bce4749b21312af0ea7ec75
work_keys_str_mv	AT nicolaschauvet entanglednphotonstatesforfairandoptimalsocialdecisionmaking AT guillaumebachelier entanglednphotonstatesforfairandoptimalsocialdecisionmaking AT sergehuant entanglednphotonstatesforfairandoptimalsocialdecisionmaking AT hayatosaigo entanglednphotonstatesforfairandoptimalsocialdecisionmaking AT hirokazuhori entanglednphotonstatesforfairandoptimalsocialdecisionmaking AT makotonaruse entanglednphotonstatesforfairandoptimalsocialdecisionmaking
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Entangled N-photon states for fair and optimal social decision making

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