  Scalable board games, including Five in a Row (or gomoku) and weiqi (or go),
are generalized so that they can be played on or by quantum computers. We adopt
three principles for the generalization: the first two are to ensure that the
games are compatible with quantum computer and the third is to ensure that the
standard classical games are the special cases. We demonstrate how to construct
basic quantum moves and use them to set up quantum games. There are three
different schemes to play the quantized games: one quantum computer with
another quantum computer (QwQ), two classical computer playing with each other
on one quantum computer (CQC), and one classical computer with another
classical computer(CwC). We illustrate these results with the games of Five in
a Row and weiqi.
