Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential stabilization of quantum systems under continuous
  non-demolition measurements   We present a novel continuous-time control strategy to exponentially
stabilize an eigenstate of a Quantum Non-Demolition (QND) measurement operator.
In open-loop, the system converges to a random eigenstate of the measurement
operator. The role of the feedback is to prepare a prescribed QND eigenstate
with unit probability. To achieve this we introduce the use of Brownian motion
to drive the unitary control actions; the feedback loop just adapts the
amplitude of this Brownian noise input as a function of the system state.
Essentially, it "shakes" the system away from undesired eigenstates by applying
strong noise there, while relying on the open-loop dynamics to progressively
reach the target. We prove exponential convergence towards the target
eigenstate using standard stochastic Lyapunov methods. The feedback scheme and
its stability analysis suggest the use of an approximate filter which only
tracks the populations of the eigenstates of the measurement operator. Such
reduced filters should play an increasing role towards advanced quantum
technologies.

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph