Theory of quantum control landscapes: Overlooked hidden cracks
Abstract
Why does controlling quantum phenomena appear easy to achieve? Why do effective quantum controls appear easy to find? Why is chemical synthesis and property optimization easier than expected? How to explain the commonalities across the optimal control applications in quantum mechanics, chemistry, material science, biological evolution and engineering? The theory of quantum control landscapes (QCL) is developed by Prof. Rabitz and his colleagues to address these puzzling questions. Unfortunately, the obtained conclusions are subject of gross misinterpretations which are spread in hundreds of published papers. We investigate, summarize and report several previously unknown subtleties of the QCL theory which have far-reaching implications for nearly all practical applications.
Keywords
Cite
@article{arxiv.1710.07753,
title = {Theory of quantum control landscapes: Overlooked hidden cracks},
author = {Dmitry V. Zhdanov},
journal= {arXiv preprint arXiv:1710.07753},
year = {2017}
}
Comments
The explanation of why the key result of the paper B. Russell, H. Rabitz, R.-B. Wu, J. Phys. A: Math. Theor. 50, 205302 (2017) [ arXiv:1608.06198 ] is wrong is significantly simplified and complemented by a demonstrative example. Various changes were introduced to fully adapt all parts of presentation for readers unfamiliar with differential topology. 5 pages, 3 figures