Applications of computational quantum mechanics

Rajmohan

Mohammad Reza Habibi, Saeed Golestan, Ali Soltanmanesh +2 more

In quantum computing, calculations are achieved using quantum mechanics. Typically, two main phenomena of quantum mechanics (i.e., superposition and entanglement) allow quantum computing to solve some problems more efficiently than classical algorithms. The most well-known advantage of quantum computing is the speedup of some of the calculations, which have been performed before by classical applications. Scientists and engineers are attempting to use quantum computing in different fields of science, e.g., drug discovery, chemistry, computer science, etc. However, there are few attempts to use quantum computing in power and energy applications. This paper tries to highlight this gap by discussing one of the most famous quantum computing algorithms (i.e., Grover’s algorithm) and discussing the potential applications of this algorithm in power and energy systems, which can serve as one of the starting points for using Grover’s algorithm in power and energy systems.

A. S. Umar, V. E. Oberacker, Michael R. Strayer +1 more

Lov K. Grover

As device structures get smaller quantum mechanical effects predominate. About twenty years ago it was shown that it was possible to redesign devices so that they could still carry out the same functions. Recently it has been shown that the processing speed of computers based on quantum mechanics is indeed far superior to their classical counterparts for some important applications. This paper introduces quantum mechanics and shows how this can be used for computation.

Burigede Liu, M. Ortíz, Fehmi Cirak

Vladimir V. Kornyak

Abstract Application of computer algebra and computational group theory to the study of problems arising in constructive quantum mechanics is considered.