Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remote creation of a one-qubit mixed state through a short homogeneous
  spin-1/2 chain   We consider a method of remote mixed state creation of a one-qubit subsystem
(receiver) in a spin-1/2 chain governed by the nearest-neighbor
$XY$-Hamiltonian. Owing to the evolution of the chain along with the variable
local unitary transformation of the one- or two-qubit sender, a large variety
of receiver states can be created during some time interval starting with a
fixed initial state of the whole quantum system. These states form the
creatable region of the receiver's state-space. It is remarkable that, having
the two-qubit sender, a large creatable region may be covered at a properly
fixed time instant $t_0$ using just the variable local unitary transformation
of the sender. In this case we have completely local control of the remote
state creation. In general, for a given initial state, there are such
receiver's states that may not be created using the above tool. These states
form the unavailable region. In turn, this unavailable region might be the
creatable region of another sender. Thus, in future, we have a way to share the
whole receiver's state-space among the creatable regions of several senders.
  The effectiveness of remote state creation is characterized by the density
function of the creatable region.

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The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th