{"id":2309,"date":"2026-07-14T04:00:00","date_gmt":"2026-07-14T04:00:00","guid":{"rendered":"https:\/\/futurenews24.com\/index.php\/2026\/07\/14\/2607-10454\/"},"modified":"2026-07-14T05:59:18","modified_gmt":"2026-07-14T05:59:18","slug":"2607-10454","status":"publish","type":"post","link":"https:\/\/futurenews24.com\/index.php\/2026\/07\/14\/2607-10454\/","title":{"rendered":"Krylov Complexity for Time-Dependent Hamiltonians"},"content":{"rendered":"<p><br \/>\n<br \/>arXiv:2607.10454v1 Announce Kind: cross<br \/>\nSummary: We examine Krylov unfold complexity for states evolving below time-dependent Hamiltonians. For periodically pushed methods, we formulate the issue inside Floquet principle and present how the Magnus growth gives a scientific approximation when the Floquet Hamiltonian shouldn&#8217;t be accessible in closed kind. We then prolong this framework past periodic driving and exhibit that, along with the globally truncated Magnus growth, a piecewise Magnus growth gives a dependable technique when the worldwide growth loses convergence or accuracy. Our outcomes present sensible instruments for analyzing complexity development in a broad class of time-dependent quantum methods.<br \/>\n<br \/><br \/>\n<br \/><a href=\"https:\/\/arxiv.org\/abs\/2607.10454\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>arXiv:2607.10454v1 Announce Kind: cross Summary: We examine Krylov unfold complexity for states evolving below time-dependent Hamiltonians. For periodically pushed methods, we formulate the issue inside Floquet principle and present how the Magnus growth gives a scientific approximation when the Floquet Hamiltonian shouldn&#8217;t be accessible in closed kind. We then prolong this framework past periodic driving [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2311,"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":[272,858,271,2823],"class_list":["post-2309","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantum-computing","tag-complexity","tag-hamiltonians","tag-krylov","tag-timedependent"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Krylov Complexity for Time-Dependent Hamiltonians - Future News 24<\/title>\n<meta name=\"description\" content=\"Abstract page for arXiv paper 2607.10454: Krylov Complexity for Time-Dependent Hamiltonians\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/futurenews24.com\/index.php\/2026\/07\/14\/2607-10454\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Krylov Complexity for Time-Dependent Hamiltonians - 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