D-divisible quantum evolution families

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dc.contributor.author Szczygielski, Krzysztof
dc.date.accessioned 2023-11-08T09:01:01Z
dc.date.available 2023-11-08T09:01:01Z
dc.date.issued 2023-11-07
dc.identifier.citation Journal of Physics A: Mathematical and Theoretical 56 (2023) 485202
dc.identifier.other 10.1088/1751-8121/ad07c8
dc.identifier.uri http://repozytorium.umk.pl/handle/item/6933
dc.description.abstract We 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.
dc.language.iso eng
dc.publisher IOP Publishing Ltd
dc.rights Attribution 4.0 Poland
dc.rights.uri https://creativecommons.org/licenses/by/4.0/deed.pl
dc.subject decomposable maps
dc.subject master equation
dc.subject Lindbladian
dc.subject divisible evolution
dc.title D-divisible quantum evolution families
dc.type info:eu-repo/semantics/article

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