Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Designing gate operations for single ion quantum computing in
  rare-earth-ion-doped crystals   Quantum computers based on rare-earth-ion-doped crystals show promising
properties in terms of scalability and connectivity if single ions can be used
as qubits. Through simulations, we investigate gate operations on such qubits
and discuss how gate and system parameters affect gate errors, the required
frequency bandwidth per qubit, and the risk of instantaneous spectral diffusion
(ISD) occurring. Furthermore, we examine how uncertainties in the system
parameters affect the gate errors, and how precisely the system needs to be
known. We find gate errors for arbitrary single-qubit gates of $2.1\cdot
10^{-4}$ when ISD is not considered and $3.4\cdot 10^{-4}$ when we take heed to
minimize it. Additionally, we construct two-qubit gates with errors ranging
from $5\cdot 10^{-4} \rightarrow 3\cdot 10^{-3}$ over a broad range of
dipole-dipole interaction strengths.

10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs