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The work discusses validation of properties of quantum circuits with many qubits using non-universal set of quantum gates ensuring possibility of effective simulation on classical computer. An understanding analogy between different models of quantum chains is suggested for clarification. An example with IBM Q Experience cloud platform and Qiskit framework is discussed finally. [ABSTRACT FROM AUTHOR]

Computer simulation of the interaction of diatomic A2 molecules (A = C, Si, N, P, O, S) with a super-small single-walled carbon nanotube (SWCNT) sensor was performed. The nonlocal density functional B3LYP / 3-21G (ORCA package) was used to study the supratomical nanosystem. For all molecules, it has been shown that the most preferable orientation of their axis is perpendicular to the outer surface of the SWCNT. Significant differences were found in the adsorption of molecules of group IV a (C, Si), group V a (N, P) and group VI a (O, S) of the periodic table of elements. The calculation showed that the chemisorption of the molecules C2 and Si is characterized by binding energies of 2.91 eV, 1.51 eV and equilibrium distances from the SWCNT surface of 1.39 A and 2.91 A, respectively. For a C2 molecule, a covalent bond with a pair of carbon atoms is preferred, while for a Si2 molecule, a covalent bond with one of the carbon atoms is more stable. In turn, for the N2, P2, O2, S2 molecules, it is preferable to be located in the center of carbon sextet at a distance from the surface of the SWCNT: 3.00 A, 3.17 A, 2.66 A, 2.96 A with binding energy: 0.15 eV, 0.27 eV, 0.39 eV, 0.52 eV, respectively. [ABSTRACT FROM AUTHOR]

The paper presented is a solution of a numerical simulation of the linear wave in a 2-D numerical wave tank (NWT) to understand the characteristic behavior of the ocean wave in the intermediate depth of water (0.05:≤d/L:≤0.5) by FLUENT software and using the volume of fluid (VOF) method. Linear waves of amplitude a = 0.2m are generated in an NWT of length lx = 50m and height lz = 10m by a flap-type wave maker. In this study, different parameters such as depth of water d = 5m, wave height H = 0.4m, wavelength L = 13.793m and 22.212m and the time period T = 3s and 4s, wave steepness H/L = 0.0294 and 0.0180 and relative depth d/L =0.3682 and 0.2251 are considered for analysing the behavior of the ocean wave. The entire analysis is carried out at a distance x = 10m from the wave maker at the free surface of the water and also just 1m below from the free surface. It shows that the numerical results of waves are in good agreement with the theoretical results. It is observed from the simulation that the horizontal and vertical velocities (u&w) are more at the free surface for the time period T = 3s compared to the time period T = 4s and the velocities are gradual decreases towards the bottom of the tank. It is also observed that the dynamic pressure at the free surface (d = 0) is less as compared to the bottom (d = 5m). [ABSTRACT FROM AUTHOR]

This study considers implementations of error correction in a simulation language on a classical computer. Error correction will be necessarily in quantum computing and quantum information. We will give some examples of the implementations of some error correction codes. These implementations will be made in a more general quantum simulation language on a classical computer in the language Mathematica. The intention of this research is to develop a programming language that is able to make simulations of all quantum algorithms and error corrections in the same framework. The program code implemented on a classical computer will provide a connection between the mathematical formulation of quantum mechanics and computational methods. This gives us a clear uncomplicated language for the implementations of algorithms. [ABSTRACT FROM AUTHOR]

Due to the increasing computing power of the graphics processing units (GPU), they are becoming more and more popular when solving general purpose algorithms. As the simulation of quantum computers results on a problem with exponential complexity, it is advisable to perform a parallel computation, such as the one provided by the SIMD multiprocessors present in recent GPUs. In this paper, we focus on an important quantum algorithm, the quantum Fourier transform (QTF), in order to evaluate different parallelization strategies on a novel GPU architecture. Our implementation makes use of the new CUDA software/hardware architecture developed recently by NVIDIA. [ABSTRACT FROM AUTHOR]

In the Dimension Embedded in Unified Symmetry (D.E.U.S.; [1]) we made a qualitative description of the way in which we can construct the Large Scale Structure of the Universe from the knot-particle equivalence. Even that we are limited by the lack of computational power implemented on a nonlinear computational architecture needed to conduct this study to its finish, we are still able to give the algorithm to be used in a future simulation, on a, let say, quantum computer. [ABSTRACT FROM AUTHOR]