Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reachability in Infinite Dimensional Unital Open Quantum Systems with
  Switchable GKS-Lindblad Generators   In quantum systems theory one of the fundamental problems boils down to:
given an initial state, which final states can be reached by the dynamic system
in question. Here we consider infinite dimensional open quantum dynamical
systems following a unital Kossakowski-Lindblad master equation extended by
controls. More precisely, their time evolution shall be governed by an
inevitable potentially unbounded Hamiltonian drift term $H_0$, finitely many
bounded control Hamiltonians $H_j$ allowing for (at least) piecewise constant
control amplitudes $u_j(t)\in{\mathbb R}$ plus a bang-bang (i.e. on-off)
switchable noise term $\mathbf{\Gamma}_V$ in Kossakowski-Lindblad form.
Generalizing standard majorization results from finite to infinite dimensions,
we show that such bilinear quantum control systems allow to approximately reach
any target state majorized by the initial one, as up to now only has been known
in finite dimensional analogues.---The proof of the result is currently limited
to the control Hamiltonians $ H_j$ being bounded and noise terms
$\mathbf{\Gamma}_V$ with compact normal $V$.

31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th