The `Quantum Game Show': a very simple explanation of Bell's Theorem in Quantum Mechanics

Guy Vandegrift, Joshua Stomel

Emilio Santos

Braeden Welsch, Christopher Thron

In this article give a very simple presentation of Bell's inequality by comparing it to a ``quantum game show'', followed by a simple description of Aspect's 1985 experiment involving entangled photons which confirms the inequality. The entire article is non-technical and requires no mathematical background other than high school mathematics and an understanding of basic concepts in probability. The physics involved in Aspect's experiment is also explained.

Renato Renner, Stefan Wolf

There are different approaches to proving the impossibility of classical hidden-variable explanations of quantum-mechanical behavior. Whereas Kochen and Specker proved that a three-or higher-dimensional quantum-mechanical system cannot be "classically" prepared for all possible alternative measurements in a consistent way, Bell showed that the behavior of certain two-partite systems is nonlocal, i.e., inexplicable by shared classical information. We show a close connection between deterministic manifestations of such nonlocality-called "pseudotelepathy" games-and Kochen and Specker's theorem: Every such game leads to a Kochen-Specker contradiction, and vice versa

H. Kummer, R. G. McLean

Ali Nabi Duman

Categorical quantum mechanics, which examines quantum theory via dagger-compact closed categories, gives satisfying high-level explanations to the quantum information procedures such as Bell-type entanglement or complementary observables (\cite{AC}, \cite{Co}, \cite{Co2}). Inspired by the fact that Quantum Game Theory can be seen as branch of quantum information, we express Quantum Game Theory procedures using the topological semantics provided by Categorical Quantum Mechanics. We also investigate Bayesian Games with correlation from this novel point of view while considering the connection between Bayesian game theory and Bell non-locality investigated recently by Brunner and Linden \cite{BL}.