  It is known that there is no possibility of transmitting information without
a certain amount of energy. This is arbitrarily small in Classical Physics, due
to the continuous nature of the energy parameter, while one cannot reduce that
amount below Planck's energy quanta in Quantum Physics. In short, one cannot
send less than a photon from a place to another when transmitting a minimum of
information. However, as single photons are never completely defined
simultaneously in all their parameters as position and momentum, their exact
contribution to the information transmitted cannot be known in advance, but
only probabilistically predicted. So the information transmitted is always
blurred before one can - in a way that is only probabilistically predictable -
localize or, alternatively, determine the momenta of the photons transporting
it. In order to enhance the information content of a message, is it then really
possible to exploit the situation by considering the information contained in a
superposition state before localization or, alternatively, determination of
momenta? It would be so if such blurred information were richer than a defined
one, the former being vaguer than the latter as it would be compatible with
more possible outputs, and only in this sense more extensive. But if one
defines the information content of a state as the negative logarithm of the
probability of the state itself, it is not possible to identify the more a
priori probable blurred information pertaining to that state with the bigger
one. Then the idea of exploiting a supposedly enhanced information content of
superposition states in Quantum Computation seems to contradict directly - but,
as we will se, without necessity - the classical probabilistic definition of
information.
