Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gate controlled unitary operation on flying spin qubits in quantum Hall
  edge states   Spin and orbital freedoms of electrons traveling on spin-resolved quantum
Hall edge states (quantum Hall ferromagnets) are maximally entangled. The
unitary operations on these two freedoms are hence equivalent, which means one
can manipulate the spins with non-magnetic methods through the orbitals. If one
takes the quantization axis of spins along the magnetization axis, the zenith
angle is determined by the partition rate of spin-separated edges while the
azimuth angle is defined as the phase difference between the edges. Utilizing
these properties, we have realized electrically controlled unitary operation on
the electron spins on the quantum Hall ferromagnets. The zenith angle of the
spin was controlled through the radius of gyration at a corner by means of
applying voltage to a thin gate placed at one edge. The subsequent rotation in
the azimuth angle was controlled via the distance between the edge channels
also by a gate voltage. The combination of the two operations constitutes the
first systematic electric operation on spins in the quantum Hall edge channels.

19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin