Interpolating between positive, Schwarz, and completely positive evolution for d-level systems

Quantum Physics [Submitted on 22 Apr 2026] Interpolating between positive, Schwarz, and completely positive evolution for d-level systems Dariusz Chruściński, Farrukh Mukhamedov We study a class of quantum dynamical maps for d-level systems that interpolate between positive, Schwarz, and completely positive evolutions. Our approach is based on a geometric analysis of the parameter space, which reveals the structure of regions corresponding to different positivity classes and their boundaries. We show that dynamical trajectories naturally move across these regions, providing a clear geometric interpretation of transitions between Markovian and non-Markovian regimes. It is shown that within presented class the evolution becomes eventually entanglement breaking. This analysis highlights the role of divisibility and eternally non-Markovian evolution. Comments: 20 pages Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.20335 [quant-ph]   (or arXiv:2604.20335v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2604.20335 Focus to learn more Submission history From: Dariusz Chruscinski [view email] [v1] Wed, 22 Apr 2026 08:31:15 UTC (291 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)