dc.contributor.author
Sparaciari, Carlo
dc.contributor.author
del Rio, Lídia
dc.contributor.author
Scandolo, Carlo Maria
dc.contributor.author
Faist, Philippe
dc.contributor.author
Oppenheim, Jonathan
dc.date.accessioned
2021-06-09T11:38:34Z
dc.date.available
2021-06-09T11:38:34Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/30330
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-30070
dc.description.abstract
We extend the tools of quantum resource theories to scenarios in which multiple quantities (or resources) are present, and their interplay governs the evolution of physical systems. We derive conditions for the interconversion of these resources, which generalise the first law of thermodynamics. We study reversibility conditions for multi-resource theories, and find that the relative entropy distances from the invariant sets of the theory play a fundamental role in the quantification of the resources. The first law for general multi-resource theories is a single relation which links the change in the properties of the system during a state transformation and the weighted sum of the resources exchanged. In fact, this law can be seen as relating the change in the relative entropy from different sets of states. In contrast to typical single-resource theories, the notion of free states and invariant sets of states become distinct in light of multiple constraints. Additionally, generalisations of the Helmholtz free energy, and of adiabatic and isothermal transformations, emerge. We thus have a set of laws for general quantum resource theories, which generalise the laws of thermodynamics. We first test this approach on thermodynamics with multiple conservation laws, and then apply it to the theory of local operations under energetic restrictions.
en
dc.format.extent
58 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
quantum resource theories
en
dc.subject
first law of thermodynamics
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik::539 Moderne Physik
dc.title
The first law of general quantum resource theories
dc.type
Wissenschaftlicher Artikel
dc.identifier.sepid
81443
dcterms.bibliographicCitation.articlenumber
259
dcterms.bibliographicCitation.doi
10.22331/q-2020-04-30-259
dcterms.bibliographicCitation.journaltitle
Quantum
dcterms.bibliographicCitation.originalpublishername
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
dcterms.bibliographicCitation.originalpublisherplace
Wien
dcterms.bibliographicCitation.volume
4
dcterms.bibliographicCitation.url
https://quantum-journal.org/papers/q-2020-04-30-259/
refubium.affiliation
Physik
refubium.affiliation.other
Institut für Theoretische Physik
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refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
2521-327X