Development of the quantum state evolution model based on the "amplitude quanta" method

A. S. Burkov; A. V. Damir; Y. I. Ozhigov

doi:10.1117/12.620520

1 June 2005 Development of the quantum state evolution model based on the "amplitude quanta" method

A. S. Burkov, A. V. Damir, Y. I. Ozhigov

Proceedings Volume 5833, Quantum Informatics 2004; (2005) https://doi.org/10.1117/12.620520
Event: 18th International Conference on Photoelectronics and Night Vision Devices and Quantum Informatics 2004, 2004, Moscow, Russian Federation

Abstract

Nowadays the task of molecular modeling plays the important role in many branches of science and engineering. But the existing models do not take quantum effects into account because of known calculating issues. The main difficulty in modeling of the evolution of multi particle quantum states by solving the Schroedinger equation consists iii exponential growth of required time and memory with the corresponding increase of entangled particles. The approach to this problem considered in works [3 4] consists in applying Feynman path integrals instead of solving Schroedinger equation. In terms of the "amplitude quanta" method based on this approach the wave function of a particle is calculated as a sum of the large amount of a.q. that probably will allow the linear growth of required memory with the corresponding increase of entangled particles. This approach also allows to the easy transition from the classical description of a particle to the quantum and back. The given work is devoted to the development of the quantum state evolution model based on the a. q. method in one and two-dimensional cases.

Citation Download Citation

A. S. Burkov, A. V. Damir, and Y. I. Ozhigov "Development of the quantum state evolution model based on the "amplitude quanta" method", Proc. SPIE 5833, Quantum Informatics 2004, (1 June 2005); https://doi.org/10.1117/12.620520

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KEYWORDS

Particles

Numerical analysis

Oscillators

Quantum communications

Quantum mechanics

Statistical analysis

Mechanics

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