D-divisible quantum evolution families
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing Ltd
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.
Description
Keywords
decomposable maps, master equation, Lindbladian, divisible evolution
Citation
Journal of Physics A: Mathematical and Theoretical 56 (2023) 485202
Collections
Endorsement
Review
Supplemented By
Referenced By
Creative Commons license
Except where otherwised noted, this item's license is described as Attribution 4.0 Poland