Playing games in quantum mechanical settings: Features of quantum games

Sahin Kaya Özdemir, Junichi Shimamura, Nobuyuki Imoto

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

In this lecture note, we present the implications of playing classical games in quantum mechanical settings where the quantum mechanical toolbox consisting of entanglement, quantum operations and measurement is used. After a brief introduction to the concepts of classical game theory and quantum mechanics, we study quantum games and their corresponding classical analogues to determine the novelties. In addition, we introduce a benchmark which attempts to make a fair comparison of classical games and their quantum extensions. This benchmark exploits the fact that in special settings a classical game should be reproduced as a subgame of its quantum extension. We obtained a rather surprising result that this requirement prevents the use of a large set of entangled states in quantum extension of classical games.

Original languageEnglish (US)
Title of host publicationMathematical Aspects Of Quantum Computing 2007
PublisherWorld Scientific Publishing Co.
Pages139-180
Number of pages42
ISBN (Electronic)9789812814487
DOIs
StatePublished - Jan 1 2008

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Computer Science(all)

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