Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized quantum teleportation of shared quantum secret with quantum
  walks   Very recently, Lee et al. proposed the first secure quantum teleporation
protocol, where quantum information shared by an arbitrary number of senders
can be transferred to another arbitrary number of receivers. Here, by
introducing quantum walks, a novel secure (n,m) quantum teleportation of shared
quantum secret between n senders and $m$ receivers is presented. Firstly, two
kinds of (n,2) teleportation schemes are proposed by n-walker quantum walks on
the line, the first walker of which is driven by three coins, respectively,
based on two kinds of coin operators: the homogeneous coins and the
position-dependent coins. Secondly, by increasing the amount of the coins of
the first walker to m+1, the previous (n,2) scheme can be generalized to (n,m)
teleportation scheme. Then, we give the proof of the information security of
our proposed scheme, in which neither any single nor subparties of senders and
receivers can fully access the secret quantum information. Moreover, the
projective measurements are needed, instead of the joint Bell measurements that
are necessary in Lee et al.'s protocol. Our work can also be extended further
to QWs on the cycle. This work provides an additional relevant instance of the
richness of quantum walks for quantum information processing tasks and thus
opens the wider application purpose of quantum walks.

15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat