D-divisible quantum evolution families

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dc.contributor.authorSzczygielski, Krzysztof
dc.date.accessioned2023-11-08T09:01:01Z
dc.date.available2023-11-08T09:01:01Z
dc.date.issued2023-11-07
dc.description.abstractWe propose and explore a notion of decomposably divisible (D-divisible) differentiable quantum evolution families on matrix algebras. This is achieved by replacing the complete positivity requirement, imposed on the propagator, by more general condition of decomposability. It is shown that such D-divisible dynamical maps satisfy a generalized version of Master equation and are totally characterized by their time-local generators. Necessary and sufficient conditions for D-divisibility are found. Additionally, decomposable trace preserving semigroups are examined.pl
dc.identifier.citationJournal of Physics A: Mathematical and Theoretical 56 (2023) 485202pl
dc.identifier.other10.1088/1751-8121/ad07c8
dc.identifier.urihttp://repozytorium.umk.pl/handle/item/6933
dc.language.isoengpl
dc.publisherIOP Publishing Ltdpl
dc.rightsAttribution 4.0 Poland*
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/deed.pl*
dc.subjectdecomposable mapspl
dc.subjectmaster equationpl
dc.subjectLindbladianpl
dc.subjectdivisible evolutionpl
dc.titleD-divisible quantum evolution familiespl
dc.typeinfo:eu-repo/semantics/articlepl

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