Quantum Game Theory on Entangled Players

Abstract

Quantum game theory is an emerging field that combines quantum mechanics and game theory to study the behavior of players in games that involve quantum mechanics. This paper focuses on the analysis of quantum game theory with entangled players. Entangled players are those who share quantum entanglement, which is a fundamental property of quantum mechanics that cannot be described by classical physics. This paper provides an introduction to quantum game theory and its importance in understanding the behavior of players in quantum systems. It also provides a background on classical game theory, quantum mechanics, and quantum information theory. This paper discusses the concept of entangled players in quantum game theory, including the types of entangled states that can be used in quantum games and the advantages and disadvantages of using entangled players. It analyzes several selected quantum games with entangled players, including the quantum prisoner’s dilemma, and the Quantum Swapping Game. This paper also explores the experimental implementation of quantum games with entangled players and the challenges and limitations associated with this implementation. The applications of quantum game theory with entangled players in fields such as cryptography, quantum computing, behavioral economics, and social network analysis are also discussed. Overall, this paper contributes to a better understanding of quantum game theory with entangled players and its potential applications in various fields.