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ERYGANOV, I. HRDINA, J.
Originální název
Complex Clifford algebra in repeated quantum prisoner's dilemma
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
This paper introduces an application of complex Clifford algebra in a representation of the quantum prisoner's dilemma. The authors propose a novel modification of the Eisert-Lewenstein-Wilkens protocol to represent a repeated version of the quantum game. This repeated modification allows to embed entanglement into players' strategy sets and to see how players will operate with it. The apparatus of complex Clifford algebra enables an intuitive representation of the suggested protocol and efficient computation of the resulting payoff functions. The presented findings provide a new point of view on the interpretation of entanglement as a measure of information transition between rounds of the game.
Klíčová slova
Clifford algebra; entanglement; prisoner's dilemma; quantum games; repeated games
Autoři
ERYGANOV, I.; HRDINA, J.
Vydáno
1. 2. 2024
Nakladatel
WILEY
Místo
HOBOKEN
ISSN
1099-1476
Periodikum
Mathematical Methods in the Applied Sciences
Ročník
47
Číslo
3
Stát
Spojené království Velké Británie a Severního Irska
Strany od
1442
Strany do
1456
Strany počet
15
URL
https://onlinelibrary.wiley.com/doi/full/10.1002/mma.8694
BibTex
@article{BUT179122, author="Ivan {Eryganov} and Jaroslav {Hrdina}", title="Complex Clifford algebra in repeated quantum prisoner's dilemma", journal="Mathematical Methods in the Applied Sciences", year="2024", volume="47", number="3", pages="1442--1456", doi="10.1002/mma.8694", issn="1099-1476", url="https://onlinelibrary.wiley.com/doi/full/10.1002/mma.8694" }