Quantum tic tac toe
Leaw Jia Ning
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Quantum tic tac toe

Strategic insights from playing the quantum tic-tac-toe

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We quantize the game of tic-tac-toe, by allowing superpositions of classical moves. To play the game, we require quantum moves so defined to be orthogonal to all previous moves, and to compute the weight a player has at a given site, we square the sum of the amplitudes at this site over all his moves. A player wins when the sum of weights along any of the eight straight lines we can draw in the 3 x 3 grid is greater than 3. We play the quantum tic-tac-toe first randomly, and then deterministically, to explore the impacts different opening moves, end games, and blocking strategies have on the o...