Some properties of coherent states with singular complex matrix argument
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Quantum Physics arXiv:2601.22258 (quant-ph) [Submitted on 29 Jan 2026] Title:Some properties of coherent states with singular complex matrix argument Authors:Dušan Popov View a PDF of the paper titled Some properties of coherent states with singular complex matrix argument, by Du\v{s}an Popov View PDF Abstract:In the paper our aim was to study the properties of a new version of coherent states whose argument is a linear combination of two special singular square 2 x 2 matrix, having a single nonzero element, equal to 1, and two labeling complex variables as developing coefficients. We have shown that this new version of coherent states satisfies all the conditions imposed on coherent states, both of pure, as well as the mixed (thermal) states characterized by the density operator. As applications, we examined the connection between these coherent states and the notions of qubits and von Neuman entropy. Comments: Subjects: Quantum Physics (quant-ph) MSC classes: 81R30 Coherent states, 47A56 Matrix-valued functions, 94A17 Measures of information, entropy, 15B10 Orthogonal matrices Cite as: arXiv:2601.22258 [quant-ph] (or arXiv:2601.22258v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.22258 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Dusan Popov PhD [view email] [v1] Thu, 29 Jan 2026 19:29:15 UTC (883 KB) Full-text links: Access Paper: View a PDF of the paper titled Some properties of coherent states with singular complex matrix argument, by Du\v{s}an PopovView PDF view license Current browse context: quant-ph new | recent | 2026-01 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?) Links to Code Toggle Papers with Code (What is Papers with Code?) 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?)