Variations

Present variations on QT3, such as

• N-way QT3
• Unitary evolution
• Probabilistic collapse
• Hybrid
• Indistinguishable QT3

N-Way QT3

There are two possibilities here: fixed N (like 3) and variable N (N>1). The simple cyclic entanglements of classical quantum tic-tac-toe (gotta love language) are no longer the only kind of entanglement that requires collapse.

Unitary Evolution

In this variation, no player gets to make a placement move. Spooky-marks are placed on the board by chance, or an algorithm, but not by choice. The only choice is that when a cyclic entanglement occurs the appropriate player is required to make a collapse move.

Probabilistic Collapse

The inverse variation is to allow only placement moves, no player gets to make a collapse move. When a cyclic entanglement occurs, the collapse is random. This has a big impact on strategy.

Hybrid

In this variation the players are irrelevant. Placement moves and collapse moves just happen all by themselves. The statistics of wins and losses by X and O would be the interesting data points here.

Indistinguishable QT3

This is the most interesting variation, from a metaphor perspective. Game play, however, becomes problematic.