Nuclear magnetic resonance implementation of the Deutsch-Jozsa algorithm using different initial states

The Deutsch-Jozsa algorithm distinguishes constant functions from balanced functions with a single evaluation. In the first part of this work, we present simulations of the nuclear magnetic resonance (NMR) application of the Deutsch-Jozsa algorithm to a 3-spin system for all possible balanced functions. Three different kinds of initial states are considered: a thermal state, a pseudopure state, and a pair (difference) of pseudopure states. Then, simulations of several balanced functions and the two constant functions of a 5-spin system are described. Finally, corresponding experimental spectra obtained by using a 16-frequency pulse to create an input equivalent to either a constant function or a balanced function are presented, and the results are compared with those obtained from computer simulations.Comment: accepted for publication in the Journal of Chemical Physic

Peculiarities of gamma-quanta distribution at 20 TeV energy

The angular distribution of protons from the fragmentational region is analyzed. The gamma-quanta families are generated in a dense target by cosmic ray particles at 20 Tev energy. Families were found which had dense groups (spikes) of gamma-quanta where the rapidity/density is 3 times more than the average value determined for all registered families. The experimental data is compared with the results of artificial families simulation

The Structure of Martian Magnetosphere at the Dayside Terminator Region as Observed on MAVEN Spacecraft

We analyzed 44 passes of the MAVEN spacecraft through the magnetosphere, arranged by the angle between electric field vector and the projection of spacecraft position radius vector in the YZ plane in MSE coordinate system (${\theta}$ E ). All passes were divided into 3 angular sectors near 0{\deg}, 90{\deg} and 180{\deg} ${\theta}$ E angles in order to estimate the role of IMF direction in plasma and magnetic properties of dayside Martian magnetosphere. The time interval chosen was from January 17 through February 4, 2016 when MAVEN was crossing the dayside magnetosphere at SZA ~ 70{\deg}. Magnetosphere as the region with prevailing energetic planetary ions is always found between the magnetosheath and the ionosphere. 3 angular sectors of dayside interaction region in MSE coordinate system with different orientation of the solar wind electric field vector E = -1/c V x B showed that for each sector one can find specific profiles of the magnetosheath, the magnetic barrier and the magnetosphere. Plume ions originate in the northern MSE sector where motion electric field is directed from the planet. This electric field ejects magnetospheric ions leading to dilution of magnetospheric heavy ions population, and this effect is seen in some magnetospheric profiles. Magnetic barrier forms in front of the magnetosphere, and relative magnetic field magnitudes in these two domains vary. The average height of the boundary with ionosphere is ~530 km and the average height of the magnetopause is ~730 km. We discuss the implications of the observed magnetosphere structure to the planetary ions loss mechanism.Comment: 24 pages, 13 figure

Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base

In this paper the problem of the buckling of the transversal-isotropic segment of spherical shell with the different thicknesses under the influence of the load with a flat base is studied. The spherical segment has a rigid support on the edge and previously has been loaded by internal pressure. The solution of this problem is based on the theory of the shell of moderate thickness by Paly-Spiro. This theory takes into account the influence of the cross-section shear and change of the shell thickness. For modelling such large deformations, the method of consequent loading is used. In this method, due to the use of linear physical relations, it is possible to trace the non-linear problem at each separate stage to the solution of a linear system. The comparison of the results which were obtained with the use of the method of linearization of non-linear equilibrium equations and the method of minimization of elastic potential of the shell has been done. The problems of stress-strain state of soft and close to soft shells that are under the influence of a load with a flat base are important for analysing the data related to measuring a very important in ophthalmology characteristic of intraocular pressure

On the stability of the cylindrical shell under the axial compression with use of non-classical theories of shells

The problem of stability of the cylindrical shell under the axial compression by means of new non-classical shell theories is studied. To solve it the local approach is used. According to it the buckling deflection is sought in the form of a doubly periodic function of curvilinear coordinates. The comparison of well-known solutions obtained with the use of classical shell theories of Kirchhoff-Love (KL) and Timoshenko-Reissner (TR) with the results of improved non-classical shell theories of Rodionova-Titaev-Chernykh (RTCH) and Paliy-Spiro (PS) is done