Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast three-qubit Toffoli quantum gate based on the three-body
  F\"{o}rster resonances in Rydberg atoms   We propose a scheme of fast three-qubit Toffoli quantum gate for ultracold
neutral-atom qubits. The scheme is based on the Stark-tuned three-body
F\"{o}rster resonances, which we have observed in our recent experiment
[D.B.Tretyakov et al., Phys.Rev.Lett. 119, 173402 (2017)]. The three-body
resonance corresponds to a transition when the three interacting atoms change
their states simultaneously, and it occurs at a different dc electric field
with respect to the two-body F\"{o}rster resonance. A combined effect of
three-body and two-body F\"{o}rster interactions in external electric and
magnetic fields near the three-body resonance results in complex coherent
behavior of the populations and phases of collective states of a three-atom
system. We have found that it is possible to obtain experimental conditions
suitable to implement three-qubit Toffoli gate with 96.8\% fidelity and less
than 3~$\mu$s duration.

9
The categories of this paper are: nlin
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th