Coherent Control of Channel Dilations Activate Temporal Bell Nonclassicality
This result shows that the choice of Stinespring dilation is a critical resource for enhancing temporal quantum correlations, offering a new operational tool to mitigate noise in quantum information tasks while revealing deeper constraints on channel nonlocality.
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Quantum Physics arXiv:2607.05643 (quant-ph) [Submitted on 6 Jul 2026] Title:Coherent Control of Channel Dilations Activate Temporal Bell Nonclassicality Authors:H S Karthik, Akshata Shenoy H, A R Usha Devi, Marcin Pawłowski View a PDF of the paper titled Coherent Control of Channel Dilations Activate Temporal Bell Nonclassicality, by H S Karthik and 3 other authors View PDF HTML (experimental) Abstract:The temporal Clauser-Horne-Shimony-Holt (CHSH) inequality witnesses the nonclassicality of temporal correlations, but its violation is generally degraded by environmental noise. Here, we show that violation of the temporal CHSH inequality can be revived through coherent control of noisy quantum evolutions. We compare two physically distinct implementations: coherent control of noisy evolutions induced by interaction of the system with independent environments, and coherent control of two physically distinct, unitarily equivalent Stinespring dilations of the same noisy channel. Although these constructions generate identical deterministic system dynamics, they induce distinctly different post-selected evolutions. With a focus on the amplitude damping channel (ADC), we show that coherent control of equivalent dilations extend the range of temporal CHSH inequality violation well beyond both the incoherently controlled, or deterministic, scenario and what is achievable with independent environments. Under setting-independent post-selection of the coherent control implementation, the resulting violation further certifies that the channel is not strongly CHSH nonlocality-breaking. Our results identify the choice of Stinespring dilation as an operationally relevant resource in coherently controlled tests of temporal quantum correlations. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2607.05643 [quant-ph] (or arXiv:2607.05643v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2607.05643 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: H S Karthik [view email] [v1] Mon, 6 Jul 2026 21:10:37 UTC (275 KB) Full-text links: Access Paper: View a PDF of the paper titled Coherent Control of Channel Dilations Activate Temporal Bell Nonclassicality, by H S Karthik and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-07 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?)