  We introduce the notion of entanglement measure for the universal classes of
fractons as an entanglement between ocuppation-numbers of fractons in the
lowest Landau levels and the rest of the many-body system of particles. This
definition came as an entropy of the probability distribution {\it \`a la}
Shannon. Fractons are charge-flux systems classified in universal classes of
particles or quasiparticles labelled by a fractal or Hausdorff dimension
defined within the interval $1 < h < 2$ and associated with the fractal quantum
curves of such objects. They carry rational or irrational values of spin and
the spin-statistics connection takes place in this fractal approach to the
fractional spin particles. We take into account the fractal von Neumann entropy
associated with the fractal distribution function which each universal class of
fractons satisfies. We consider the fractional quantum Hall effect-FQHE given
that fractons can model Hall states. According to our formulation entanglement
between occupaton-numbers in this context increases with the universality
classes of the quantum Hall transitions considered as fractal sets of dual
topological quantum numbers filling factors. We verify that the Hall states
have stronger entanglement between ocuppation-numbers and so we can consider
this resource for fracton quantum computing.
