Comment on 'Control landscapes are almost always trap free: A geometric assessment'

Dmitry V. Zhdanov

doi:10.1088/1751-8121/aaecf6

Comment on 'Control landscapes are almost always trap free: A geometric assessment'

Dmitry V. Zhdanov^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Comment/debate (Academic Journal) › peer-review

6 Citations (Scopus)

Abstract

We analyze a recent claim that almost all closed, finite dimensional quantum systems have trap-free (i.e. free from local optima) landscapes (Russell et al 2017 J. Phys. A: Math. Theor. 50, 205302). We point out several errors in the proof which compromise the authors' conclusion.

Original language	English
Article number	508001
Number of pages	8
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	51
Issue number	50
Early online date	21 Nov 2018
DOIs	https://doi.org/10.1088/1751-8121/aaecf6
Publication status	Published - 14 Dec 2018

Keywords

Control constraints
Optimal control
Parametric transversality theorem
Quantum control landscapes

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10.1088/1751-8121/aaecf6

Cite this

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abstract = "We analyze a recent claim that almost all closed, finite dimensional quantum systems have trap-free (i.e. free from local optima) landscapes (Russell et al 2017 J. Phys. A: Math. Theor. 50, 205302). We point out several errors in the proof which compromise the authors' conclusion.",

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N2 - We analyze a recent claim that almost all closed, finite dimensional quantum systems have trap-free (i.e. free from local optima) landscapes (Russell et al 2017 J. Phys. A: Math. Theor. 50, 205302). We point out several errors in the proof which compromise the authors' conclusion.

AB - We analyze a recent claim that almost all closed, finite dimensional quantum systems have trap-free (i.e. free from local optima) landscapes (Russell et al 2017 J. Phys. A: Math. Theor. 50, 205302). We point out several errors in the proof which compromise the authors' conclusion.

KW - Control constraints

KW - Optimal control

KW - Parametric transversality theorem

KW - Quantum control landscapes

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DO - 10.1088/1751-8121/aaecf6

M3 - Comment/debate (Academic Journal)

AN - SCOPUS:85057893172

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JF - Journal of Physics A: Mathematical and Theoretical

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Comment on 'Control landscapes are almost always trap free: A geometric assessment'

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