Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical Theory of the Duality Computer in the Density Matrix
  Formalism   We give the mathematical theory of duality computer in the density matrix
formalism. This result complements the mathematical theory of duality computer
of Gudder in the pure state formalism.

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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga