Detail publikace

Complex Clifford algebra in repeated quantum prisoner's dilemma

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"
}