Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal convergence rate in the quantum Zeno effect for open quantum
  systems in infinite dimensions   In open quantum systems, the quantum Zeno effect consists in frequent
applications of a given quantum operation, e.g. a measurement, used to restrict
the time evolution (due e.g. to decoherence) to states that are invariant under
the quantum operation. In an abstract setting, the Zeno sequence is an
alternating concatenation of a contraction operator (quantum operation) and a
$C_0$-contraction semigroup (time evolution) on a Banach space. In this paper,
we prove the optimal convergence rate of the Zeno sequence under weak
boundedness assumptions, which induce a Zeno dynamics generated by an unbounded
generator. For that, we derive a new Chernoff-type $\sqrt{n}$-lemma, which
improves the convergence rate for vector-valued function converging linearly to
the identity and which we believe to be of independent interest. We achieve the
optimal Zeno convergence rate of order $\frac{1}{n}$.

4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org