Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sensitivity to initial noise in measurement-induced nonlinear quantum
  dynamics   We consider a special iterated quantum protocol with measurement-induced
nonlinearity for qubits, where all pure initial states on the Bloch sphere can
be considered chaotic. The dynamics is ergodic with no attractive fixed cycles.
We show that initial noise radically changes this behavior. The completely
mixed state is an attractive fixed point of the dynamics induced by the
protocol. Our numerical simulations strongly indicate that initially mixed
states all converge to the completely mixed state. The presented protocol is an
example, where gaining information from measurements and employing it to
control an ensemble of quantum systems enables us to create ergodicity, which
in turn is destroyed by any initial noise.

26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio