Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Work Cost of Thermal Operations in Quantum and Nano Thermodynamics   Adopting a resource theory framework of thermodynamics for quantum and nano
systems pioneered by Janzing et al. [Int. J. Th. Phys. 39, 2717 (2000)], we
formulate the cost in useful work of transforming one resource state into
another as a linear program of convex optimization. This approach is based on
the characterization of thermal quasiorder given by Janzing et al. and later by
Horodecki and Oppenheim [Nat. Comm. 4, 2059 (2013)]. Both characterizations are
related to an extended version of majorization studied by Ruch, Schranner, and
Seligman under the name mixing distance [J. Chem. Phys. 69, 386 (1978)].

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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org