Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous-variable geometric phase and its manipulation for quantum
  computation in a superconducting circuit   Geometric phase, associated with holonomy transformation in quantum state
space, is an important quantum-mechanical effect. Besides fundamental interest,
this effect has practical applications, among which geometric quantum
computation is a paradigm, where quantum logic operations are realized through
geometric phase manipulation that has some intrinsic noise-resilient advantages
and may enable simplified implementation of multiqubit gates compared to the
dynamical approach. Here we report observation of a continuous-variable
geometric phase and demonstrate a quantum gate protocol based on this phase in
a superconducting circuit, where five qubits are controllably coupled to a
resonator. Our geometric approach allows for one-step implementation of
$n$-qubit controlled-phase gates, which represents a remarkable advantage
compared to gate decomposition methods, where the number of required steps
dramatically increases with $n$. Following this approach, we realize these
gates with $n$ up to 4, verifying the high efficiency of this geometric
manipulation for quantum computation.

12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc