Calibrated Helstrom geometry on the Bloch ball via Connes spectral distance
Summarize this article with:
Quantum Physics arXiv:2606.13824 (quant-ph) [Submitted on 11 Jun 2026] Title:Calibrated Helstrom geometry on the Bloch ball via Connes spectral distance Authors:Kaushlendra Kumar View a PDF of the paper titled Calibrated Helstrom geometry on the Bloch ball via Connes spectral distance, by Kaushlendra Kumar View PDF HTML (experimental) Abstract:We show that the equal-prior Helstrom trace-distance geometry of qubit states is recovered from Connes spectral distance in a finite scalar-qubit-scalar model. The two scalar reference sectors couple isotropically to the qubit block through identity Dirac links, so that the full Bloch ball, including mixed states, inherits its standard chordal trace-distance geometry from the finite spectral metric. The scalar-sector distances serve a distinct calibration role: they determine the individual link lengths, satisfy a Pythagorean consistency relation, and reconstruct the middle-sector scale. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.13824 [quant-ph] (or arXiv:2606.13824v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.13824 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Kaushlendra Kumar [view email] [v1] Thu, 11 Jun 2026 18:57:14 UTC (496 KB) Full-text links: Access Paper: View a PDF of the paper titled Calibrated Helstrom geometry on the Bloch ball via Connes spectral distance, by Kaushlendra KumarView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 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?)