  In this note we generalize entropy based on the quantum mechanical
probability density distribution. Motivated by J. Munkhammar and the
uncertainty of entropy we modified the origin wave function of the test
particle. The corrected one acting on the quantum particle is subject to the
uncertainty principle. Considering the uncertain relation, the corrected
probability of the particle for measurement on holographic screen has been
proposed. We also derivate the speed of information transfer described by wave
function. Our quantum approach to entropy stress the information in a physical
system is directly associated with its quantum mechanical entropy defined by
the equality of the partition function.
