Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Control of an Oscillator with Dispersive Coupling to a Qubit   We investigate quantum control of an oscillator mode off-resonantly coupled
to an ancillary qubit. In the strong dispersive regime, we may drive the qubit
conditioned on number states of the oscillator, which together with
displacement operations can achieve universal control of the oscillator. Based
on our proof of universal control, we provide explicit constructions for
arbitrary state preparation and arbitrary unitary operation of the oscillator.
Moreover, we present an efficient procedure to prepare the number state
$\left|n\right\rangle$ using only $O\left(\sqrt{n}\right)$ operations. We also
compare our scheme with known quantum control protocols for coupled
qubit-oscillator systems. This universal control scheme of the oscillator can
readily be implemented using superconducting circuits.

37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg