Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Joint remote preparation of an arbitrary four-qubit |\c{hi}>-type
  entangled state   We present two schemes for joint remote preparation of an arbitrary
four-qubit j\c{hi}i -type entangled state via three three- and (N+1)-qubit GHZ
states as the quantum channel, respectively. In these schemes, two senders (or
N senders) share the original state which they wish to help the receiver to
remotely prepare. To complete the JRSP schemes, several novel sets of mutually
orthogonal basis vectors are introduced. It is shown that, only if two senders
(or N senders) collaborate with each other, and perform projective measurements
under suitable measuring basis on their own qubits respectively, the receiver
can reconstruct the original state by means of some appropriate unitary
operations and suitable C-NOT gates. Compared with the previous schemes for the
JRSP of four-qubit |\c{hi}>-type state, the advantages of the present schemes
are that the total successful probability of JRSP can reach 1 and the
entanglement resource can be reduced

5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
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The categories of this paper are: math-ph
21
The categories of this paper are: adap-org