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Proceedings Paper

Quantum computing in control and optimization
Author(s): Vitaliy Yatsenko; Nikita Boyko; Petros Xanthopoulos; Panos Pardalos
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Paper Abstract

This paper deals with the progress made in applications of quantum computing in control and optimization. It concentrates on applying the geometric technique in order to investigate a finite control problem of a two-level quantum system, resonance control of a three-level system, simulation of bilinear quantum control systems, and optimal control using the Bellman principle. We show that a quantum object described by a Schroedinger equation can be controlled in an optimal way by electromagnetic modes. We also demonstrate an application of these techniques and an algebra-geometric approach to the study of dynamic processes in nonlinear systems. The information processing by means of controlled quantum lattices is discussed: we present new mathematical models of classical (CL) and quantum-mechanical lattices (QML) and their application to information processing. system-theoretical results on the observability, controllability and minimal realizability theorems are formulated for cl. The cellular dynamaton (CD) based on quantum oscillators is presented. Cellular's quantum computational search procedure can provide the basis for implementing adaptive global optimization algorithms. A brief overview of the procedure is given and a framework called lattice adaptive search is set up. A method of Yatsenko and one introduced by the authors fit into this framework and are compared.

Paper Details

Date Published: 10 May 2007
PDF: 10 pages
Proc. SPIE 6573, Quantum Information and Computation V, 657307 (10 May 2007); doi: 10.1117/12.718613
Show Author Affiliations
Vitaliy Yatsenko, Institute of Space Research (Ukraine)
Nikita Boyko, Univ. of Florida (United States)
Petros Xanthopoulos, Univ. of Florida (United States)
Panos Pardalos, Univ. of Florida (United States)

Published in SPIE Proceedings Vol. 6573:
Quantum Information and Computation V
Eric J. Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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