Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariance of Stationary and Ergodic Properties of a Quantum Source
  under Memoryless Transformations   We prove that the stationarity and the ergodicity of a quantum source 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.

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The categories of this paper are: cs
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
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The categories of this paper are: math
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex