Certified measurement and control of an entanglement-breaking index on programmable hardware

Quantum Physics arXiv:2609.09350 (quant-ph) [Submitted on 8 Sep 2026] Title:Certified measurement and control of an entanglement-breaking index on programmable hardware Authors:Eran Kopel View a PDF of the paper titled Certified measurement and control of an entanglement-breaking index on programmable hardware, by Eran Kopel View PDF HTML (experimental) Abstract:The entanglement-breaking index of a quantum channel, the number of self-compositions after which the channel destroys all entanglement with any reference, has to our knowledge never been measured. We show that a certified thermal collision feedback loop makes this integer both measurable and controllable on current programmable hardware, every load-bearing quantity delivered as an interval-arithmetic certificate. On the measurement side: a target list for the integer staircase n_EB(p) with decision-point negativities certified at margins 0.025 to 0.109; an exact per-round depolarising model in which the selected staircase survives realistic noise as certified integers; an exact, tight compilation of the round unitary (seven CNOTs all-to-all, five native arbitrary-angle gates, ten on heavy-hex); and a 33-million-draw gated search bounding the thermal valley's contrast by a wall with an interior maximum, a certified 2.85x10^-3 near floor 89. On the control side: the model composes rounds of differing bath polarisation exactly, so the valley becomes a pulsed valve, switching at a certified minimal pulse of exactly eight rounds; the optimal pulsed signal, a certified 3.43x10^-3, beats the static protocol, so the best valley measurement is intrinsically pulsed; and a coherent tilt of the bath Bloch vector lifts the signal to a certified 8.6x10^-3, three times the static ceiling, at zero population cost. Valley signatures certifiably die near per-round noise strength 10^-4, fixing the error-extrapolation burden. The staircase is a near-term experiment; the pulsed valley a precisely priced one. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2609.09350 [quant-ph] (or arXiv:2609.09350v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2609.09350 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Eran Kopel [view email] [v1] Tue, 8 Sep 2026 18:39:09 UTC (68 KB) Full-text links: Access Paper: View a PDF of the paper titled Certified measurement and control of an entanglement-breaking index on programmable hardware, by Eran KopelView PDFHTML (experimental)TeX Source view license Ancillary-file links: Ancillary files (details): README.md certified_model.py certify_scan4.py compile_verify.json edge_noise_fix.json noise_certificates.json objA_margins_certificates.json probe120_certificates.json probe60_certificates.json ptable_crossover_30dig.json pulse_atlas_qr1_f64.json pulse_certificates.json pulse_engine.py register2_certificates.json register2_f64.json scan4.py scan4_certificates.json signal_plane_certificates.json signal_plane_f64.json tilt_pulse_certificates.json tilt_pulse_f64.json valley_noise_certificates.json(17 additional files not shown) You must enabled JavaScript to view entire file list. Current browse context: quant-ph new | recent | 2026-09 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?)