{"id":3227,"date":"2026-08-03T04:00:00","date_gmt":"2026-08-03T04:00:00","guid":{"rendered":"https:\/\/futurenews24.com\/index.php\/2026\/08\/03\/2203-10501\/"},"modified":"2026-08-03T11:59:11","modified_gmt":"2026-08-03T11:59:11","slug":"2203-10501","status":"publish","type":"post","link":"https:\/\/futurenews24.com\/index.php\/2026\/08\/03\/2203-10501\/","title":{"rendered":"[2203.10501] Quantum Fluctuation-Response Inequality and Its Utility in Quantum Speculation Testing"},"content":{"rendered":"<p><br \/>\n<\/p>\n<div id=\"content-inner\">\n<div id=\"abs\">\n<div class=\"dateline\">\n  [Submitted on 20 Mar 2022 (v1), last revised 31 Jul 2026 (this version, v2)]<\/div>\n<p>View a PDF of the paper titled Quantum Fluctuation-Response Inequality and Its Utility in Quantum Speculation Testing, by Yan Wang<\/p>\n<p>    View PDF<br \/>\n    HTML (experimental)<\/p>\n<blockquote class=\"abstract mathjax\"><p>\n            <span class=\"descriptor\">Summary:<\/span>We set up a basic quantum fluctuation-response inequality that bounds the distinction in expectation values of an observable between two quantum states by way of the quantum relative entropy. For observables with bounded spectra, we additional strengthen this outcome by exploiting the sub-Gaussian property, and explicitly relate our certain to the sub-Gaussian norm of the observable. This enables us to derive a novel non-asymptotic certain on the sum of statistical errors in quantum speculation testing, which enhances and will be extra informative than current bounds. We additionally show the flexibility of our outcomes by issues corresponding to thermodynamic speculation testing and quantum pace limits in physics, and generalizability of algorithms in machine studying.\n    <\/p><\/blockquote><\/div>\n<\/div>\n<div>\n<h2>Submission historical past<\/h2>\n<p> From: Yan Wang [view email]                  [v1]<br \/>\n        Solar, 20 Mar 2022 09:10:54 UTC (16 KB)<br \/>\n    [v2]<br \/>\n        Fri, 31 Jul 2026 00:36:39 UTC (56 KB)\n<\/p><\/div>\n<p><br \/>\n<br \/><a href=\"https:\/\/arxiv.org\/abs\/2203.10501\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>[Submitted on 20 Mar 2022 (v1), last revised 31 Jul 2026 (this version, v2)] View a PDF of the paper titled Quantum Fluctuation-Response Inequality and Its Utility in Quantum Speculation Testing, by Yan Wang View PDF HTML (experimental) Summary:We set up a basic quantum fluctuation-response inequality that bounds the distinction in expectation values of an [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3229,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png","fifu_image_alt":"","jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[],"jnews_override_bookmark_settings":[],"jnews_social_meta":[],"jnews_override_counter":[],"footnotes":""},"categories":[9],"tags":[2507,3648,3650,3649,431,1208],"class_list":["post-3227","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantum-computing","tag-application","tag-fluctuationresponse","tag-hypothesis","tag-inequality","tag-quantum","tag-testing"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - 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