### Abstract

This paper is a rebuttal of the comment by Zhdanov (2018 J. Phys. A: Math. Theor.) with regard to our paper (Russell et al 2017 J. Phys. A: Math. Theor. 50 205302). Parts of the comment either misrepresent the original claims in Russell et al (2017 J. Phys. A: Math. Theor. 50 205302) or consider issues that go beyond the scope of Russell et al (2017 J. Phys. A: Math. Theor. 50 205302). We address all of these points in the rebuttal. A remaining item about the prospect of an accumulation of null sets was already considered in a prior work (Russell et al 2018 J. Phys. A: Math. Theor. 51 335103). Importantly, the comment fails to consider the vast and continually growing set of successful quantum control tests under well-defined conditions, which serves as foundational evidence for the results in Russell et al (2017 J. Phys. A: Math. Theor. 50 205302). In summary, the remarks in the comment either misconstrue the claims of Russell et al (2017 J. Phys. A: Math. Theor. 50 205302) or raise points that are irrelevant to the goal of the original work. Thus, we conclude that the primary claim of the original paper stands: almost all closed finite dimensional quantum systems are trap free given adequate control resources.

Original language | English (US) |
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Article number | 508002 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 51 |

Issue number | 50 |

DOIs | |

State | Published - Nov 21 2018 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

### Keywords

- Control landscapes
- quantum control
- quantum systems

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## Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*51*(50), [508002]. https://doi.org/10.1088/1751-8121/aaecf2