We perform a numerical investigation of Anderson metal-insulator transition (MIT) in two-dimensional system chiral symmetry class AIII by combining finite-size scaling, transport, density states, and multifractality studies. The results are agreement with the $\ensuremath{\sigma}$-model renormalization-group theory where MIT is driven proliferation vortices. determine phase diagram find an appa...

The controllability of the unitary propagator of a finite level quantum system is studied in this paper by analyzing the structure of the semisimple Lie algebra su(N).

In the well known treatment of quantum teleportation, the receiver should convert the state of his EPR particle into the replica of the unknown quantum state by one of four possible unitary transformations. However, the importance of these unitary transformations must be emphasized. We will show in this paper that the receiver can not transform the state of his particle into an exact replica of...

Since it is well-known that the Vandermonde matrix is ill-conditioned, while the interpolation itself is not unstable in function space, this paper surveys the choices of other new bases. These bases are data-dependent and are categorized into discretely l2-orthonormal and continuously L2-orthonormal bases. The first one construct a unitary Gramian matrix in the space l2(X) while the late...

Modernization of the control system at water chlorination station in workshop treatment facilities municipal unitary enterprise Angarsk city district “Angarsk utility”

We investigate the electronic transport through a single-level quantum-dot which is capacitively coupled to a charge-qubit. By employing the method of nonequilibrium Green's functions, we calculate the electric current through quantum dot at finite bias voltages. The Green's functions and self-energies of the system are calculated perturbatively and self-consistently to the second order of inte...