Quantum Tic-Tac-Toe

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The Rules

The rules for Quantum Tic-Tac-Toe are the same as for Classical Tic-Tac-Toe, with these additions:
1.
Players take turns making quantum moves with X going first. Quantum moves consist of a pair of "spooky" marks, either X's or O's subscripted with the number of the move. In a quantum move, two different squares are marked at once - a quantum move looks like a classical move that is half in one square and half in another.
2.

Quantum moves may entangle by sharing squares. An entanglement arises when two or more quantum moves share a square.

3.

On a cyclic entanglement, the other player chooses the collapse to classical moves, indicates the kept halves, one per square, and eliminates the others. A cyclic entanglement occurs whenever there is a path from one square back to itself. In a collapse the spooky marks are replaced with classical marks.

4.
First player to get 3 in a row of classical moves wins. If there are multiple 3-rows, the earliest in time gets a full point, the later a half point. An earlier in time 3-row has the lower largest subscript.

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