Nanotechnology comes to genesis of quantum functional devices such as superatom of identical atoms (BEC) or quantum computer. Now a problem of precise definitions of the quantum nature of nanotechnological design seems actual one. In this paper we took under consideration some quantum topological and informational aspects of planned construction and governed evolution of nanosystem. We proceed from requirements that a quantum particle is totally defined by a Gilbert space of its unitary evolution states. According to the quantum topological approach there is an organizing hierarchy of quantum particles. A background level is represented by elementary quantum particles such as nuclei and electrons. Formed as a result of multiplication of nuclei and electrons in compact volumes of the laboratory space chemical particles (atoms and molecules) occupy a first level. In its turn the chemical particle is revealed as an elementary building block for the next grade of the quantum multiplication design. This level contains multiplets of chemical particles: superatoms and supermolecules. Any genesis of quantum multiplet requires some topological conditions to provide unitary evolution of compact quantum particles. Relationships of information (quantum, classical) and entropy with definite classes of unitarily inequivalent and nonunitary transformation of multiplets are revealed. Genesis of high-level multiplets increases the quantum information of nanosystem. Degradation of them is accompanied by increasing of quantum-statistical (classical) information and thermo-statistical entropy in arising classical complects of quantum particles. Analyses of these effects are given for multiplets of BEC superatom and quantum computer.