Playing Dice with the Universe: Programming Quantum Computers to Play Traditional Games

Abstract

The challenge of programming classical computers to play traditional, competitive games against human players has helped to advance classical hardware and software. Quantum computers have the potential to play games in a unique way: programmed \textit{only} with the rules of a game, they should be able to implicitly represent all future paths of a game leading to wins, losses, or draws, and to sample from this path set to identify moves that maximize the likelihood of a win. This permits skilled play without hard-coded or machine-learned strategy. As a proof of principle, we present early results obtained after programming the D-Wave quantum annealer with the rules of tic-tac-toe, enabling it to play against a human or classical computer opponent. We anticipate that, as it has for classical computers, game-playing will serve as an important real-world benchmark for quantum computers.

7 pages, 2 figures