Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Channel Simulation and the Channel's Smooth Max-Information   We study the general framework of quantum channel simulation, that is, the
ability of a quantum channel to simulate another one using different classes of
codes. First, we show that the minimum error of simulation and the one-shot
quantum simulation cost under no-signalling assisted codes are given by
semidefinite programs. Second, we introduce the channel's smooth
max-information, which can be seen as a one-shot generalization of the mutual
information of a quantum channel. We provide an exact operational
interpretation of the channel's smooth max-information as the one-shot quantum
simulation cost under no-signalling assisted codes, which significantly
simplifies the study of channel simulation and provides insights and bounds for
the case under entanglement-assisted codes. Third, we derive the asymptotic
equipartition property of the channel's smooth max-information; i.e., it
converges to the quantum mutual information of the channel in the independent
and identically distributed asymptotic limit. This implies the quantum reverse
Shannon theorem in the presence of no-signalling correlations. Finally, we
explore the simulation cost of various quantum channels.

4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin