Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gibbs-Preserving Maps outperform Thermal Operations in the quantum
  regime   In this brief note, we compare two frameworks for characterizing possible
operations in quantum thermodynamics. One framework considers Thermal
Operations---unitaries which conserve energy. The other framework considers all
maps which preserve the Gibbs state at a given temperature. Thermal Operations
preserve the Gibbs state; hence a natural question which arises is whether the
two frameworks are equivalent. Classically, this is true---Gibbs-Preserving
Maps are no more powerful than Thermal Operations. Here, we show that this no
longer holds in the quantum regime: a Gibbs-Preserving Map can generate
coherent superpositions of energy levels while Thermal Operations cannot. This
gap has an impact on clarifying a mathematical framework for quantum
thermodynamics.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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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: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cs