Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Markov Chains on the Comb graphs: Ising model   In the present paper, we construct quantum Markov chains (QMC) over the Comb
graphs. As an application of this construction, it is proved the existence of
the disordered phase for the Ising type models (within QMC scheme) over the
Comb graphs. Moreover, it is also established that the associated QMC has
clustering property with respect to translations of the graph. We stress that
this paper is the first one where a nontrivial example of QMC over non-regular
graphs is given.

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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga