The problem of particle storage in a nanolayered structure is considered. Local perturbations of the nanolayers can lead to the appearance of eigenvalues of the corresponding one-particle Hamiltonian. To study the particle storage it is necessary to deal with a multi-particle problem. The Hartree method and the finite element method are used. The discrete spectrum of the Hamiltonian of two interacting particles is considered. Two different types of the perturbation are treated: deformation of the layer boundary and a small window in a wall between two layers. The relation between the system parameters (interaction intensity–waveguide deformation) ensuring the existence of a non-empty discrete spectrum is studied. Comparison of particle storage efficiencies in these two cases is made.

Possible applications of two weakly coupled quantum waveguides for quantum computation are considered. The approach is based on the resonance phenomena in the system. Two different qubits interpretations are described. Some single-qubit and two-qubits operations are realized in the framework of these interpretations. ·¥¤²μ¦¥´Ò ¢μ §³μ¦´Ò¥ ¶·¨³¥´¥´¨Ö ¤¢Ê̸² ¡μ¸¢Ö § ´´ÒÌ ±¢ ´Éμ¢ÒÌ ¢μ²´μ¢μ¤μ¢ ¤²Ö ±¢ ´Éμ-¢ÒÌ ¢ÒΨ¸²¥´¨°.ˆ¸ ¶μ²Ó §Ê¥É¸Ö ³¥Éμ¤, μ¸´μ¢ ´´Ò°´ ·¥ §μ´ ´¸´ÒÌ ÔËË¥±É Ì ¢¸¨¸É¥³¥. ¶¨¸ ´Ò ¤¢¥ · §²¨Î´Ò¥¨´É¥· ¶·¥É ͨ¨±¢ ´Éμ¢μ£μ ¡¨É . ¥ ²¨ §μ¢ ´Ò´¥±μÉμ·Ò¥ μ¤´μ±Ê¡¨Éμ¢Ò¥¨¤¢Ê̱Ê-¡¨Éμ¢Ò¥ μ ¶¥· ͨ¨¢ · ³± Ì ¤ ´´Ǫ̀´É¥· ¶·¥É ͨ°.

Problem of particles storage in nanolayered structure is considered.Local deformations of the nanolayers leads to appearance of eigenvalues of the corresponding one-particle Hamiltonian. The cardinality of the discrete spectrum is used to estimate the maximal number of non-interacting fermions stored in the nanolayers. The discrete spectrum of the Hamiltonian of two interacting particles is considered. Relation between the system parameters (interaction intensity -waveguide deformation) ensuring the existence of non-empty discrete spectrum is studied. Hartree method and FEM are used.