Understanding nature's choice of genetic languages

All living organisms use the same genetic languages in their molecular biology machinery. They can be understood as the optimal solutions to the replication tasks involving DNA and proteins. These solutions perfectly fit the pattern predicted by Grover's algorithm, which is more efficient than the best Boolean search algorithm (i.e. binary tree search) that predicts a different pattern. The challenge is to demonstrate how Grover's algorithm would be executed in vivo by the living organisms.