Quantum blackjack : quantum strategies and advantages in games with limited classical communication

Abstract

In this thesis, we examine the advantages that quantum strategies afford in communication-limited games. Inspired by the card game blackjack, we particularly focus on cooperative, two-party sequential games in which a single classical bit of communication is allowed from the first-mover to the late-mover. Within this setting, optimal usage of quantum entanglement is explored, and conditions of quantum advantage over classical strategies are examined. Furthermore, theoretical, computational, and experimental techniques are presented that can be useful in the analysis and implementation of quantum strategies in these types of games.