TITLE:
Quantum Tic-Tac-Toe: A Genuine Probabilistic Approach
AUTHORS:
Marius Nagy, Naya Nagy
KEYWORDS:
Quantum Games; Tic-Tac-Toe; Quantum Measurement; Superposition; Entanglement; Computational Power
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.11A,
November
27,
2012
ABSTRACT: We propose a quantum version of Tic-Tac-Toe which accurately reflects the inherent probabilistic nature of the measurement principle in quantum mechanics. We then formulate a quantum strategy which allows a quantum player to consistently win over a classical player, with a certain probability. This result can be seen as another proof of the superior computational power of a quantum system with respect to a classical one. Our investigation also reveals that the non-determinism and complexity introduced by the principles of quantum mechanics into even the most simple games make brute-force strategies considerably more difficult to implement. Consequently, games in which machines have gained the upper hand over humans may be made fair again by upgrading them to a quantum level.