Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resource requirements of private quantum channels and consequence for
  oblivious remote state preparation   Shannon in celebrated works had shown that n bits of shared key is necessary
and sufficient to transmit n-bit classical information in an
information-theoretically secure way. Ambainis, Mosca, Tapp and de Wolf in
quant-ph/0003101 considered a more general setting, referred to as Private
quantum channels, in which instead of classical information, quantum states are
required to be transmitted and only one-way communication is allowed. They show
that in this case 2n bits of shared key is necessary and sufficient to transmit
an n-qubit state. We consider the most general setting in which we allow for
all possible combinations i.e. we let the input to be transmitted, the message
sent and the shared resources to be classical/quantum. We develop a general
framework by which we are able to show tight bounds on communication/shared
resources in all of these cases and this includes the results of Shannon and
Ambainis et al.
  As a consequence of our arguments we also show that in a one-way oblivious
Remote state preparation protocol for transferring an n-qubit pure state, the
entropy of the communication must be 2n and the entanglement measure of the
shared resource must be n. This generalizes on the result of Leung and Shor
which shows same bound on the length of communication in the special case when
the shared resource is maximally entangled e.g. EPR pairs and hence settles an
open question asked in their paper regarding protocols without maximally
entangled shared resource.

32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph