{"id":9436,"date":"2024-01-12T08:42:08","date_gmt":"2024-01-12T07:42:08","guid":{"rendered":"https:\/\/fermi.univ-tlse3.fr\/?post_type=tribe_events&#038;p=9436"},"modified":"2024-01-16T10:07:17","modified_gmt":"2024-01-16T09:07:17","slug":"tba-michael-jabbour-lpt-seminar-16-01-2024-14-h","status":"publish","type":"tribe_events","link":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-michael-jabbour-lpt-seminar-16-01-2024-14-h\/","title":{"rendered":"Resserrement des limites de continuit\u00e9 sur les entropies et des limites sur les capacit\u00e9s quantiques. &#8211; (Michael Jabbour \/ LPT \/ Seminar). &#8211; 16\/01\/2024, 14 H."},"content":{"rendered":"<p><span style=\"font-size: 20px;\"><span style=\"color: #191970;\"><strong>Michael Jabbour <\/strong><\/span> (Universit\u00e9 libre de Bruxelles)<\/span><\/p>\n<p><span style=\"background-color: #cecece;\">Seminar LPT, 16\/01\/2024, 14H, 3R1, seminar room, 3rd floor<\/span><\/p>\n<p><span style=\"color: #191970;\"><strong><span style=\"font-size: 20px;\">R\u00e9sum\u00e9:<\/span> <\/strong><\/span><br \/>\nOne of the most basic tasks in information theory is communication. The capacity of a quantum channel is the maximum rate at which information can be transmitted through it reliably (in the asymptotic limit) per use of the channel. Mathematically, the various definitions of capacities are expressed in terms of entropies. They are in general difficult to compute. However, they can be bounded with the help of continuity bounds on entropies. The latter are generally expressed in terms of a single distance measure between probability distributions or quantum states, typically, the total variation- or trace distance. However, if an additional distance measure is known, the continuity bounds can be significantly strengthened. Here, we prove uniform continuity bounds for the Shannon and von Neumann entropies in terms of both the local- and total variation distances for the former, and both the operator norm- and trace distances for the latter. We then apply our results to compute upper bounds on channel capacities for channels that are \u03b5-close in diamond norm and \u03bd-close in completely bounded spectral norm to their complementary channel when composed with a degrading channel. Moreover, these bounds can be further improved by considering certain unstabilized versions of the above norms. We show that upper bounds on the latter can be efficiently expressed as semidefinite programs.<\/p>\n<hr \/>\n<div class=\"leaflet-map WPLeafletMap\" style=\"height:300px; width:80%;\"><\/div><script>\nwindow.WPLeafletMapPlugin = window.WPLeafletMapPlugin || [];\nwindow.WPLeafletMapPlugin.push(function WPLeafletMapShortcode() {\/*<script>*\/\nvar baseUrl = atob('aHR0cHM6Ly97c30udGlsZS5vcGVuc3RyZWV0bWFwLm9yZy97en0ve3h9L3t5fS5wbmc=');\nvar base = (!baseUrl && window.MQ) ?\n    window.MQ.mapLayer() : L.tileLayer(baseUrl,\n        L.Util.extend({}, {\n            detectRetina: 0,\n        },\n        {\"subdomains\":\"abc\",\"noWrap\":false,\"maxZoom\":18}        )\n    );\n    var options = L.Util.extend({}, {\n        layers: [base],\n        attributionControl: false\n    },\n    {\"zoomControl\":true,\"scrollWheelZoom\":true,\"doubleClickZoom\":true,\"fitBounds\":true,\"minZoom\":9,\"maxZoom\":18,\"maxBounds\":null,\"attribution\":\"<a href=\\\"http:\\\/\\\/leafletjs.com\\\" title=\\\"Une biblioth\\u00e8que JS pour des cartes interactives\\\">Leaflet<\\\/a>; \\u00a9 <a href=\\\"http:\\\/\\\/www.openstreetmap.org\\\/copyright\\\">OpenStreetMap<\\\/a> contributeurs\"},\n    {});\nwindow.WPLeafletMapPlugin.createMap(options).setView([43.560705280387,1.4674275538563],16);window.WPLeafletMapPlugin.createScale({});});<\/script>\n<script>\nwindow.WPLeafletMapPlugin = window.WPLeafletMapPlugin || [];\nwindow.WPLeafletMapPlugin.push(function WPLeafletMarkerShortcode() {\/*<script>*\/\nvar map = window.WPLeafletMapPlugin.getCurrentMap();\nvar group = window.WPLeafletMapPlugin.getCurrentGroup();\nvar marker_options = window.WPLeafletMapPlugin.getIconOptions({});\nvar marker = L.marker(\n    [0,0],\n    marker_options\n);\nvar is_image = map.is_image_map;\n    marker.setLatLng( map.getCenter() );\nif (marker_options.draggable) {\n    marker.on('dragend', function () {\n        var latlng = this.getLatLng();\n        var lat = latlng.lat;\n        var lng = latlng.lng;\n        if (is_image) {\n            console.log('leaflet-marker y=' + lat + ' x=' + lng);\n        } else {\n            console.log('leaflet-marker lat=' + lat + ' lng=' + lng);\n        }\n    });\n}\nmarker.addTo( group );\nmarker.bindPopup(window.WPLeafletMapPlugin.unescape('Seminar room, 3R1'));window.WPLeafletMapPlugin.markers.push( marker );\n        });<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Michael Jabbour (Universit\u00e9 libre de Bruxelles) Seminar LPT, 16\/01\/2024, 14H, 3R1, seminar room, 3rd floor R\u00e9sum\u00e9: One of the most basic tasks in information theory is communication. The capacity of&hellip;&nbsp;<a href=\"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-michael-jabbour-lpt-seminar-16-01-2024-14-h\/\" rel=\"bookmark\">Read More &raquo;<span class=\"screen-reader-text\">Resserrement des limites de continuit\u00e9 sur les entropies et des limites sur les capacit\u00e9s quantiques. &#8211; (Michael Jabbour \/ LPT \/ Seminar). &#8211; 16\/01\/2024, 14 H.<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"template":"","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","neve_meta_reading_time":"","_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[48,313,233],"class_list":["post-9436","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-events","tribe_events_cat-lpt","tribe_events_cat-seminars","cat_events","cat_lpt","cat_seminars"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Resserrement des limites de continuit\u00e9 sur les entropies et des limites sur les capacit\u00e9s quantiques. - (Michael Jabbour \/ LPT \/ Seminar). - 16\/01\/2024, 14 H. - FeRMI<\/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:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-michael-jabbour-lpt-seminar-16-01-2024-14-h\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Resserrement des limites de continuit\u00e9 sur les entropies et des limites sur les capacit\u00e9s quantiques. - (Michael Jabbour \/ LPT \/ Seminar). - 16\/01\/2024, 14 H. - FeRMI\" \/>\n<meta property=\"og:description\" content=\"Michael Jabbour (Universit\u00e9 libre de Bruxelles) Seminar LPT, 16\/01\/2024, 14H, 3R1, seminar room, 3rd floor R\u00e9sum\u00e9: One of the most basic tasks in information theory is communication. The capacity of&hellip;&nbsp;Read More &raquo;Resserrement des limites de continuit\u00e9 sur les entropies et des limites sur les capacit\u00e9s quantiques. &#8211; (Michael Jabbour \/ LPT \/ Seminar). &#8211; 16\/01\/2024, 14 H.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-michael-jabbour-lpt-seminar-16-01-2024-14-h\/\" \/>\n<meta property=\"og:site_name\" content=\"FeRMI\" \/>\n<meta property=\"article:modified_time\" content=\"2024-01-16T09:07:17+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/tba-michael-jabbour-lpt-seminar-16-01-2024-14-h\\\/\",\"url\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/tba-michael-jabbour-lpt-seminar-16-01-2024-14-h\\\/\",\"name\":\"Resserrement des limites de continuit\u00e9 sur les entropies et des limites sur les capacit\u00e9s quantiques. - (Michael Jabbour \\\/ LPT \\\/ Seminar). - 16\\\/01\\\/2024, 14 H. - FeRMI\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#website\"},\"datePublished\":\"2024-01-12T07:42:08+00:00\",\"dateModified\":\"2024-01-16T09:07:17+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/tba-michael-jabbour-lpt-seminar-16-01-2024-14-h\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/tba-michael-jabbour-lpt-seminar-16-01-2024-14-h\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/tba-michael-jabbour-lpt-seminar-16-01-2024-14-h\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Events\",\"item\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/events\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Resserrement des limites de continuit\u00e9 sur les entropies et des limites sur les capacit\u00e9s quantiques. &#8211; (Michael Jabbour \\\/ LPT \\\/ Seminar). &#8211; 16\\\/01\\\/2024, 14 H.\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#website\",\"url\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/\",\"name\":\"FeRMI\",\"description\":\"F\u00e9d\u00e9ration de Recherche Mati\u00e8re et Interactions\",\"publisher\":{\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#organization\",\"name\":\"FeRMI\",\"url\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/wp-content\\\/uploads\\\/2021\\\/09\\\/Logo_FERMI_web_bandeau350x131_blanc.png\",\"contentUrl\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/wp-content\\\/uploads\\\/2021\\\/09\\\/Logo_FERMI_web_bandeau350x131_blanc.png\",\"width\":350,\"height\":131,\"caption\":\"FeRMI\"},\"image\":{\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#\\\/schema\\\/logo\\\/image\\\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Resserrement des limites de continuit\u00e9 sur les entropies et des limites sur les capacit\u00e9s quantiques. - (Michael Jabbour \/ LPT \/ Seminar). - 16\/01\/2024, 14 H. - FeRMI","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tba-michael-jabbour-lpt-seminar-16-01-2024-14-h\/","og_locale":"fr_FR","og_type":"article","og_title":"Resserrement des limites de continuit\u00e9 sur les entropies et des limites sur les capacit\u00e9s quantiques. - (Michael Jabbour \/ LPT \/ Seminar). - 16\/01\/2024, 14 H. - FeRMI","og_description":"Michael Jabbour (Universit\u00e9 libre de Bruxelles) Seminar LPT, 16\/01\/2024, 14H, 3R1, seminar room, 3rd floor R\u00e9sum\u00e9: One of the most basic tasks in information theory is communication. 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