doi: 10.17706/ijapm.2017.7.4.268-274
A Numerical Approximation Approach for Quantum Optimal Control of Two-Level Systems
Cutberto Romero-Meléndez
1
,
- 1 Department of Basic Sciences. Autonomous Metropolitan University, Avenida San Pablo 180, colonia
- 2 Institute of Neurobiology. National Autonomous University of México, México.
Abstract
In this paper, we discuss a quantum control algorithm, devised by the authors, inspired in Rabitz and Krotov algorithms and applied to Nuclear Magnetic Resonance (NMR) That algorithm is based on a numerical method for iterative optimization. Specifically, we address the determination of external optimal pulses (controls) to minimal cost, over a two-level quantum system. We use the numerical approximation to find the optimal controls in the case of two external electromagnetic fields, integrating the associated equations of the Pontryagin Maximum Principle. That algorithm unifies and generalizes the Rabitz and Krotov algorithms. We compare the efficiency of these algorithms with the solutions found by analytical methods.
Keywords
- Lie algebra
- nuclear magnetic resonance
- optimal control
- quantum control systems
- iterative optimization
How to Cite
Cutberto Romero-Meléndez and Leopoldo González-Santos, "A Numerical Approximation Approach for Quantum Optimal Control of Two-Level Systems," International Journal of Applied Physics and Mathematics, vol. 7, no. 4, pp. 268-274, 2017. https://doi.org/ 10.17706/ijapm.2017.7.4.268-274
Copyright & License
Copyright © 2017 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).