{"id":817,"date":"2025-06-15T21:07:00","date_gmt":"2025-06-15T19:07:00","guid":{"rendered":"https:\/\/gqm.lpl.univ-paris13.fr\/?p=817"},"modified":"2025-11-09T00:06:47","modified_gmt":"2025-11-08T23:06:47","slug":"generators-of-the-su10-group","status":"publish","type":"post","link":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2025\/06\/15\/generators-of-the-su10-group\/","title":{"rendered":"Generators of the SU(10) group"},"content":{"rendered":"\n<figure class=\"wp-block-image aligncenter size-full has-custom-border is-style-rounded wp-duotone-unset-1\" id=\"wp-block-themeisle-blocks-image-a121b0db\" style=\"margin-top:var(--wp--preset--spacing--20);margin-right:var(--wp--preset--spacing--20);margin-bottom:var(--wp--preset--spacing--20);margin-left:var(--wp--preset--spacing--20)\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/gqm.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/11\/Article-Coherent-control-49438e.svg\" alt=\"\" class=\"wp-image-1629\" style=\"border-style:none;border-width:0px;border-radius:10px\"\/><figcaption class=\"wp-element-caption\">The LPL team performs spin-rotation operations using 4 internal states (m1,2,3,4) of strontium. These operations make it possible to simultaneously measure several components (Sx, Sy, Sz) of a qubit (m2,m3).<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Now, with the implementation of evolution operators deriving from the generators of the SU(10) group, complete control over the quantum state of the nuclear spins is achievable. This is an opportunity to use the full Hilbert space of strontium 87 atoms in experiments and for quantum technologies, that we explore in our published <a href=\"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2025\/06\/16\/hello-world-1\/\">paper<\/a>. For example, we use it to measure simultaneously two non-commuting observables of pseudo-spin ensembles!<\/p>\n","protected":false},"author":3,"featured_media":1629,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_themeisle_gutenberg_block_has_review":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[40,69],"tags":[],"class_list":["post-817","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news","category-strontium-news"],"blocksy_meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Generators of the SU(10) group - Magnetic Quantum Gases<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2025\/06\/15\/generators-of-the-su10-group\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Generators of the SU(10) group - Magnetic Quantum Gases\" \/>\n<meta property=\"og:description\" content=\"Now, with the implementation of evolution operators deriving from the generators of the SU(10) group, complete control over the quantum state of the nuclear spins is achievable. This is an opportunity to use the full Hilbert space of strontium 87 atoms in experiments and for quantum technologies, that we explore in our published paper. For example, we use it to measure simultaneously two non-commuting observables of pseudo-spin ensembles!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2025\/06\/15\/generators-of-the-su10-group\/\" \/>\n<meta property=\"og:site_name\" content=\"Magnetic Quantum Gases\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-15T19:07:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-11-08T23:06:47+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin PASQUIOU\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin PASQUIOU\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/\"},\"author\":{\"name\":\"Benjamin PASQUIOU\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#\\\/schema\\\/person\\\/edd1441f419c30858a44ed007fc1fc79\"},\"headline\":\"Generators of the SU(10) group\",\"datePublished\":\"2025-06-15T19:07:00+00:00\",\"dateModified\":\"2025-11-08T23:06:47+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/\"},\"wordCount\":35,\"publisher\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-Coherent-control-49438e.svg\",\"articleSection\":[\"News\",\"Strontium news\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/\",\"name\":\"Generators of the SU(10) group - Magnetic Quantum Gases\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-Coherent-control-49438e.svg\",\"datePublished\":\"2025-06-15T19:07:00+00:00\",\"dateModified\":\"2025-11-08T23:06:47+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2025\\\/06\\\/15\\\/generators-of-the-su10-group\\\/#primaryimage\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-Coherent-control-49438e.svg\",\"contentUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-Coherent-control-49438e.svg\",\"width\":300,\"height\":300,\"caption\":\"The LPL team performs spin-rotation operations using 4 internal states (m1,2,3,4) of strontium. 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