Quantum Tic-Tac-Toe

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This Month’s Challenge: November 2003

In Tic-Tac-Toe, and in many other strategy games, the central tactical concept is the forced move, or “force”. A situation on the board is considered a forced move if one must make a particular move (or choose from a very limited number of possible moves) immediately, or else one's opponent can win on the very next move. In Classical Tic-Tac-Toe thre is only one force, an open 2-row, as shown in the figure below. O must play in square 7, or X will do so and win.

Show that in Qauantum Tic-Tac-Toe, an open 2-row of real marks is not a force.


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Last Month’s Answer: October 2003

See the figure in the PDF file for one solution. Any set of three entanglements where each entanglement consists of precisely two quantum moves, will produce a classical ensemble containing the maximum of 27 real games.


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