Quantum computing in control and optimization

Vitaliy Yatsenko; Nikita Boyko; Petros Xanthopoulos; Panos Pardalos

doi:10.1117/12.718613

10 May 2007 Quantum computing in control and optimization

Vitaliy Yatsenko, Nikita Boyko, Petros Xanthopoulos, Panos Pardalos

Proceedings Volume 6573, Quantum Information and Computation V; 657307 (2007) https://doi.org/10.1117/12.718613
Event: Defense and Security Symposium, 2007, Orlando, Florida, United States

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.

Citation Download Citation

Vitaliy Yatsenko, Nikita Boyko, Petros Xanthopoulos, and Panos Pardalos "Quantum computing in control and optimization", Proc. SPIE 6573, Quantum Information and Computation V, 657307 (10 May 2007); https://doi.org/10.1117/12.718613

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