Searcharxiv⌕ Search

arXiv subjects

Y. I. Ozhigov

Publications and source records attributed to Y. I. Ozhigov.

3 recordsLinked to original sources

About quantum computer software

Quantum computer is the key to controlling complex processes. If its hardware, in general is successfully created on the basis of the physical baggage of the 20th century, the mathematical software is fundamentally lagging behind. Feynman's user interface in the form of quantum gate arrays, cannot be used for the control because it gives the solution of Schrödinger equation with quadratic slowdown compared to the real process. The software must then imitate the real process using appropriate program primitives written as the programs for classical supercomputer. The decoherence will be reflected by some constant - the number of basic states that can fit into the limited of memory available to software. The real value of this constant can be found in the experimental realization of Grover search algorithm. Rough estimates of this constant are given based on the simplest processes of quantum electrodynamics and nuclear decay.

physics.gen-ph↗

Comparizon of dynamic diffusion with explicit difference scheme for Shredinger equation

We represent the method of dynamic diffusion for the approximate solution of Shroedinger equation with decoherence. Decoherence shows as the divergency of exact solution from the dynamics of diffusion swarm, which arises when the total number of real particles grows. The method of dnamic diffusion cannot be reduced to the solution of differential equations, in contrast to Bohm's quantum hydrodynamics, hence the direct computer simulation is the mandatory step of its development. We compare the dynamic diffusion with the explicit finite differences scheme for Shredinger equation for some standard one dimension cases.

quant-ph↗

About mathematical apparatus of many body quantum dynamics

We discuss the possibility to modify many-body Hilbert quantum formalism that is necessary for the representation of quantum systems dynamics. The notion of effective classical algorithm and visualization of quantum dynamics play the key role.

quant-ph↗