Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exploring the Limits of Open Quantum Dynamics I: Motivation, New Results
  from Toy Models to Applications   Which quantum states can be reached by controlling open Markovian $n$-level
quantum systems? Here, we address reachable sets of coherently controllable
quantum systems with switchable coupling to a thermal bath of temperature $T$.
The core problem reduces to a toy model of studying points in the standard
simplex allowing for two types of controls: (i) permutations within the
simplex, (ii) contractions by a dissipative semigroup. By illustration, we put
the problem into context and show how toy-model solutions pertain to the
reachable set of the original controlled Markovian quantum system. Beyond the
case $T=0$ (amplitude damping) we present new results for $0 <T < \infty$ using
methods of $d$-majorisation.

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The categories of this paper are: dg-ga
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th