  The dramatic increase in the efficiency of a quantum computer over a
classical computer, raises a natural question asking, how much of this success
could be attributed to its quantum nature and how much to its probabilistic
content. To highlight this issue, we put forward the novel idea of a possible
chemical computer driven by reaction-diffusion (RD) processes based on a
probabilistic but classical approach. Such computers, obeying non-equilibrium
statistical mechanics, can describe superpositions of empty and filled states
with certain probabilities. With these {probit} states serving as computational
basis states, such RD computers with operations satisfying a necessary
semi-group property could mimic some well known quantum logic gates and carry
out teleportation like procedure using entangled states, believed to be a
prerogative of the quantum world. Moreover, assuming a nonlinear extension the
RD computers could be used for cloning of arbitrary states, which is a famous
forbidden operation in standard quantum computation.
