The Spekkens Toy Model Revisited

We review the toy model introduced by R.W. Spekkens, and show that the operations on a single toy bit belong to the group $S_3$ semi direct $Z_2^3$. The original group $S_4$ is shown to be a subgroup of this. We show that this group does not violate the basic principle of the toy model nor any quantum mechanics and we show its natural extension to the two toy bit case.