Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Compression of Ergodic Quantum Sources   For a real number $r>0$, let $F(r)$ be the family of all stationary ergodic
quantum sources with von Neumann entropy rates less than $r$. We prove that,
for any $r>0$, there exists a blind, source-independent block compression
scheme which compresses every source from $F(r)$ to $r n$ qubits per input
block length $n$ with arbitrarily high fidelity for all large $n$. As our
second result,we show that the stationarity and the ergodicity of a quantum
source $\{\rho_m \}_{m=1}^{\infty}$ are preserved by any trace-preserving
completely positive linear map of the tensor product form ${\cal E}^{\otimes
m}$, where a copy of ${\cal E}$ acts locally on each spin lattice site. We also
establish ergodicity criteria for so called classically-correlated quantum
sources.

3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat