Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Speed Limit and optimal evolution time in a two-level system   Quantum mechanics establishes a fundamental bound for the minimum evolution
time between two states of a given system. Known as the quantum speed limit
(QSL), it is a useful tool in the context of quantum control, where the speed
of some control protocol is usually intended to be as large as possible. While
QSL expressions for time-independent hamiltonians have been well studied, the
time-dependent regime has remained somewhat unexplored, albeit being usually
the relevant problem to be compared with when studying systems controlled by
external fields. In this paper we explore the relation between optimal times
found in quantum control and the QSL bound, in the (relevant) time-dependent
regime, by discussing the ubiquitous two-level Landau-Zener type hamiltonian.

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The categories of this paper are: physics
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The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess