In this paper, the authors present a modified convergent analytic algorithm for the solution of nonlinear boundary value problems by means of a variable parameter method and briefly, the method is called optimal variable parameter method. This method, based on the embedding of a parameter and an auxiliary operator, provides a computational advantage for the convergence of the approximate soluti...

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...

In this paper we introduce a measure of genuine quantum incompatibility in the estimation task multiple parameters, that has geometric character and is backed by clear operational interpretation. This then applied to some simple systems order track effect local depolarizing noise on task. A semidefinite program described used numerically compute figure merit when analytical tools are not suffic...

A consistent combination of quantum geometry effects rules out a large class of models of loop quantum cosmology and their critical densities as they have been used in the recent literature. In particular, the critical density at which an isotropic universe filled with a free, massless scalar field would bounce must be well below the Planck density. In the presence of anisotropy, no model of th...

The current paper presents a new quantum algorithm for finding multicollisions, often denoted by l-collisions, where an l-collision for a function is a set of l distinct inputs having the same output value. Although it is fundamental in cryptography, the problem of finding multicollisions has not received much attention in a quantum setting. The tight bound of quantum query complexity for findi...