Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second order asymptotics of visible mixed quantum source coding via
  universal codes   The simplest example of a quantum information source with memory is a mixed
source which emits signals entirely from one of two memoryless quantum sources
with given a priori probabilities. Considering a mixed source consisting of a
general one-parameter family of memoryless sources, we derive the second order
asymptotic rate for fixed-length visible source coding. Furthermore, we
specialize our main result to a mixed source consisting of two memoryless
sources. Our results provide the first example of second order asymptotics for
a quantum information-processing task employing a resource with memory. For the
case of a classical mixed source (using a finite alphabet), our results reduce
to those obtained by Nomura and Han [IEEE Trans. on Inf. Th. 59.1 (2013), pp.
1-16]. To prove the achievability part of our main result, we introduce
universal quantum source codes achieving second order asymptotic rates. These
are obtained by an extension of Hayashi's construction [IEEE Trans. on Inf. Th.
54.10 (2008), pp. 4619-4637] of their classical counterparts.

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The categories of this paper are: math
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: stat