Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proof of monotonic increase in the cost function for Krotov algorithm
  for open quantum systems   A great number of quantum control papers have used one of the variants of the
monotonically convergent variational control algorithm of Krotov (as described
in Maday and Turinici (2003), Tannor et al. (1992), Zhu and Rabitz (1998),
etc). The paper "Speeding up Thermalisation via Open Quantum System Variational
Optimisation" by N, Suri, et al. [EPJST 227, 203 -216 (2018), arXiv:1711.08776]
provides us a way of carrying out Krotov algorithm for open quantum systems. We
shall prove the Theorem 1 of the paper, greatly expanding upon the brief
treatment given in appendix 1 of the same.

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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th