Quantum Checkers: The Development and Analysis of a Quantum Combinatorial Game

IEEE Conference on Games (CoG), pp. 1–8

Abstract

This paper develops and analyses a novel quantum combinatorial game: quantum checkers (named Cheqqers). The concepts of superposition, entanglement, measurements and interference from quantum mechanics are integrated into the game of checkers by adding new types of legal moves. The addition of these new rules is done gradually by introducing several levels of 'quantumness'. Quantum checkers provides a framework for interpolating between a known and solved classical game and a more complex quantum game, and serves as 1) a benchmark for AI players learning to play quantum games and 2) an interesting game for human players that allows them to build intuition for quantum phenomena. We provide the initial analysis on the complexity of this game using random agents and a Monte Carlo tree search agent.

Authors 5

1. Marien Raat Aachen

   Leiden University

   Affiliation as printed

   Leiden University,Leiden,The Netherlands

2. Luuk van den Nouweland Aachen

   Leiden University

   Affiliation as printed

   Leiden University,Leiden,The Netherlands

3. Matthias Müller-Brockhausen Aachen

   Leiden University

   Affiliation as printed

   Leiden University,Leiden,The Netherlands

4. Mike Preuß Aachen

   Leiden University

   Affiliation as printed

   Leiden University,Leiden,The Netherlands

5. Evert van Nieuwenburg Aachen

   Leiden University

   Affiliation as printed

   Leiden University,Leiden,The Netherlands