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M. Nagy, S. G. Akl and S. Kershaw, “Key Distribution Based on the Quantum Fourier Transform,” International Journal of Security and Its Applications, Vol. 3, No. 4, 2009, pp. 45-67.

has been cited by the following article:

• 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.