Researcher(s)
- William Taylor, Mathematics, University of Delaware
Faculty Mentor(s)
- Ivan Todorov, Department of Mathematical Sciences, University of Delaware
Abstract
Non-local games involve cooperating players who must answer questions according to an unknown predicate without communicating during the game. While these games have been historically restricted to classical inputs, there have been more recent papers that focus on non-local games in the case where the questions and answers are quantum states. The study of quantum non-local games has far-reaching applications in mathematics, quantum physics, and cryptographic protocols such as zero-knowledge proofs. Our work presents a foundational survey on fundamental background information, including functional analysis, game theory, and algebras. By organizing these disparate mathematical frameworks into a single, cohesive document, this study establishes the prerequisite knowledge required to further analyze quantum non-local games and investigate operator-theoretic formulas for optimal success probabilities.