Deterministic quantum master equation for non-Markovian signal processing

Quantum Physics [Submitted on 24 Mar 2026] Deterministic quantum master equation for non-Markovian signal processing Guilherme de Sousa, Diogo O. Soares-Pinto In this work, we derive a deterministic master equation to model a general, possibly non-Markovian, feedback. The master equation describes a system with a general evolution and measurement operation, with feedback being applied in terms of signal processing. The feedback signal has an arbitrary structure with dimensionality that indicates the degree of non-Markovianity of the information processing. We present examples to illustrate how such a master equation can be used to model systems with memory feedback and non-trivial frequency dependence. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.22686 [quant-ph]   (or arXiv:2603.22686v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2603.22686 Focus to learn more Submission history From: Guilherme De Sousa [view email] [v1] Tue, 24 Mar 2026 01:26:38 UTC (83 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-03 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?)