{"id":179,"date":"2026-06-04T04:00:00","date_gmt":"2026-06-04T04:00:00","guid":{"rendered":"https:\/\/futurenews24.com\/index.php\/2026\/06\/04\/2605-28681\/"},"modified":"2026-06-04T18:41:54","modified_gmt":"2026-06-04T18:41:54","slug":"2605-28681","status":"publish","type":"post","link":"https:\/\/futurenews24.com\/index.php\/2026\/06\/04\/2605-28681\/","title":{"rendered":"[2605.28681] Krylov complexity has all of it"},"content":{"rendered":"<p><br \/>\n<\/p>\n<div id=\"content-inner\">\n<div id=\"abs\">\n<div class=\"dateline\">\n  [Submitted on 27 May 2026 (v1), last revised 3 Jun 2026 (this version, v2)]<\/div>\n<p>View a PDF of the paper titled Krylov complexity has all of it, by Wolfgang M&#8221;uck<\/p>\n<p>    View PDF<br \/>\n    HTML (experimental)<\/p>\n<blockquote class=\"abstract mathjax\"><p>\n            <span class=\"descriptor\">Summary:<\/span>This paper establishes that Krylov complexity comprises your complete details about the dynamics of a quantum operator, extending the checklist of equal portions that may serve this goal, such because the Lanczos coefficients, the return amplitude, and the spectral density. To display this equivalence, an express recursive algorithm is constructed to calculate Lanczos coefficients from the Taylor growth of the Krylov complexity round $t=0$. Moreover, the paper discusses the excellence between Krylov and unfold complexity, clarifying why an identical recursive algorithm can not exist for the latter with out further dynamical enter. These outcomes present a &#8220;proof of precept&#8221; for utilizing Krylov complexity as a whole characterization of operator evolution in quantum methods.\n    <\/p><\/blockquote><\/div>\n<\/div>\n<div>\n<h2>Submission historical past<\/h2>\n<p> From: Wolfgang M\u00fcck [view email]                  [v1]<br \/>\n        Wed, 27 Could 2026 16:13:52 UTC (8 KB)<br \/>\n    [v2]<br \/>\n        Wed, 3 Jun 2026 14:29:35 UTC (9 KB)\n<\/p><\/div>\n<p><br \/>\n<br \/><a href=\"https:\/\/arxiv.org\/abs\/2605.28681\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>[Submitted on 27 May 2026 (v1), last revised 3 Jun 2026 (this version, v2)] View a PDF of the paper titled Krylov complexity has all of it, by Wolfgang M&#8221;uck View PDF HTML (experimental) Summary:This paper establishes that Krylov complexity comprises your complete details about the dynamics of a quantum operator, extending the checklist of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":181,"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":[272,271],"class_list":["post-179","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantum-computing","tag-complexity","tag-krylov"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - 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