Constructing Fermionic Dynamics with Closed Moment Hierarchies
Summarize this article with:
Quantum Physics arXiv:2604.01353 (quant-ph) [Submitted on 1 Apr 2026] Title:Constructing Fermionic Dynamics with Closed Moment Hierarchies Authors:A. E. Teretenkov View a PDF of the paper titled Constructing Fermionic Dynamics with Closed Moment Hierarchies, by A. E. Teretenkov View PDF HTML (experimental) Abstract:We construct a broad class of completely positive maps and Go\-rini--Kossakowski--Sudarshan-Lindblad generators for fermionic systems induced by linear transformations of system and environment modes. For these maps, we derive explicit Heisenberg-picture formulas for arbitrary normally ordered monomials in terms of minors of the underlying mode-transformation matrices and environment correlation tensors. We show that for even environment states the linear span of monomials up to any fixed order is invariant, which yields closed equations for low-order moments and makes their computation efficient. We also discuss the relation of this construction to second quantization of non-Hermitian one-particle contractions and extend the formalism to completely positive maps arising from post-selection. Comments: Subjects: Quantum Physics (quant-ph) MSC classes: 81S22 (Primary) 81Q05, 81Q80 (Secondary) Cite as: arXiv:2604.01353 [quant-ph] (or arXiv:2604.01353v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.01353 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Alexander Teretenkov [view email] [v1] Wed, 1 Apr 2026 20:07:02 UTC (19 KB) Full-text links: Access Paper: View a PDF of the paper titled Constructing Fermionic Dynamics with Closed Moment Hierarchies, by A. E. TeretenkovView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: 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 Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)