Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric phase gates in dissipative quantum dynamics   Trapped ions are among the most promising candidates for performing quantum
information processing tasks. Recently, it was demonstrated how the properties
of geometric phases can be used to implement an entangling two qubit phase gate
with significantly reduced operation time while having a built-in resistance
against certain types of errors (Palmero et. al., Phys. Rev. A 95, 022328
(2017)). In this article, we investigate the influence of both quantum and
thermal fluctuations on the geometric phase in the Markov regime. We show that
additional environmentally induced phases as well as a loss of coherence result
from the non-unitary evolution, even at zero temperature. We connect these
effects to the associated dynamical and geometrical phases. This suggests a
strategy to compensate the detrimental environmental influences and restore
some of the properties of the ideal implementation. Our main result is a
strategy for zero temperature to construct forces for the geometric phase gate
which compensate the dissipative effects and leave the produced phase as well
as the final motional state identical to the isolated case. We show that the
same strategy helps also at finite temperatures. Furthermore, we examine the
effects of dissipation on the fidelity and the robustness of a two qubit phase
gate against certain error types.

3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ