Elementary Thermal Operations

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dc.contributor.authorLostaglio, Matteo
dc.contributor.authorAlhambra, Alvaro M.
dc.contributor.authorPerry, Christopher
dc.date.accessioned2018-05-11T09:29:22Z
dc.date.available2018-05-11T09:29:22Z
dc.date.issued2018-02
dc.description.abstractTo what extent do thermodynamic resource theories capture physically relevant constraints? Inspired by quantum computation, we define a set of elementary thermodynamic gates that only act on 2 energy levels of a system at a time. We show that this theory is well reproduced by a Jaynes-Cummings interaction in rotating wave approximation and draw a connection to standard descriptions of thermalisation. We then prove that elementary thermal operations present tighter constraints on the allowed transformations than thermal operations. Mathematically, this illustrates the failure at finite temperature of fundamental theorems by Birkhoff and Muirhead-Hardy-Littlewood-Polya concerning stochastic maps. Physically, this implies that stronger constraints than those imposed by single-shot quantities can be given if we tailor a thermodynamic resource theory to the relevant experimental scenario. We provide new tools to do so, including necessary and sufficient conditions for a given change of the population to be possible. As an example, we describe the resource theory of the Jaynes-Cummings model. Finally, we initiate an investigation into how our resource theories can be applied to Heat Bath Algorithmic Cooling protocolsen_US
dc.identifier.citationQuantum 2, 52 (2018)en_US
dc.identifier.issn2521-327X
dc.identifier.uridoi.org/10.22331/q-2018-02-08-52
dc.identifier.urihttp://hdl.handle.net/123456789/1314
dc.language.isoenen_US
dc.relation.ispartofseries2018-02-08, volume 2, page 52;
dc.subjectThermalen_US
dc.subjectQuantumen_US
dc.titleElementary Thermal Operationsen_US
dc.typeArticleen_US
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