  Nash equilibrium is a solution concept in non-strictly competitive,
non-cooperative game theory that finds applications in various scientific and
engineering disciplines. A non-strictly competitive, non-cooperative game model
is presented here for two qubit quantum computations that allows for the
characterization of Nash equilibrium in these computations via the inner
product of their state space. Nash equilibrium outcomes are optimal under given
constraints and therefore offer a game-theoretic measure of constrained
optimization of two qubit quantum computations.
