{"id":100,"date":"2022-04-04T03:48:15","date_gmt":"2022-04-04T03:48:15","guid":{"rendered":"https:\/\/blogschapman.wpenginepowered.com\/the-institute-for-quantum-studies\/2022\/04\/04\/no-signalling-assamblages-beyond-quantum-mechanics-when-quantum-theory-can-generate-extremal-points-in-a-post-quantum-framework\/"},"modified":"2022-04-04T03:48:15","modified_gmt":"2022-04-04T03:48:15","slug":"no-signalling-assamblages-beyond-quantum-mechanics-when-quantum-theory-can-generate-extremal-points-in-a-post-quantum-framework","status":"publish","type":"post","link":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/04\/04\/no-signalling-assamblages-beyond-quantum-mechanics-when-quantum-theory-can-generate-extremal-points-in-a-post-quantum-framework\/","title":{"rendered":"No"},"content":{"rendered":"

\"\"<\/p>\n

Wednesday, 6 April 2022 @ 12PM in 149 Keck Center, or join us on Zoom.<\/a><\/div>\n
Abstract:<\/strong> It is well known that in the language of\u00a0 no-signaling boxes\u00a0 – consistent families of probabilites representing measurement correlations –\u00a0 the following three sets: local deterministic, quantum and no-signalling constitute the increasing sequence with strict inclusions. Moreover the outer set of no-signalling boxes has no nontrivial (ie. not local deterministic) extremal points that are generated by measurement on quantum states. This fact significantly complicates all quantum information security\u00a0 protocols potentially robust against attacks of more powerful,\u00a0 post-quantum adversaries.<\/div>\n
\u00a0\u00a0\u00a0\u00a0\u00a0 In the case of no-signalling assamblages which attracted attention recently, the strict\u00a0 inclusion of the three analogous sets is also true except bipartite case. However the issue of extremality, potentially vital to information security,\u00a0 has been open for a long time.<\/div>\n
\u00a0\u00a0\u00a0\u00a0 We present results that fill gaps in the above picture. First, even in the sequential measurement scenario\u00a0 no nontrivial quantumly generated extremal point can exist in\u00a0 the set of no-signalling boxes. Second, somewhat surprisingly,\u00a0 the analog of this no-go theorem fails for no-signalling assamblages.\u00a0This is for the first time when quantum mechanics is observed to produce points that are extremal in some post-quantum framework. The new concept of the inflexibility of assamblages with pure quantum elements<\/em> plays here an important role.<\/div>\n
\u00a0\u00a0\u00a0\u00a0 We also study the boundary of the no-signalling assamblages. In analogy to quantum entanglement theory we define and study the edge of the set of assamblages.\u00a0 We found that here quantum mechanics can produce edge assamblages \u00a0via<\/em> measurements on at most rank-two 3-qubit states\u00a0 as opposed to rank five for the edge of the 3-qubit quantum entanglement set.<\/div>\n
\u00a0 \u00a0 Future perspectives of the presented research will be discussed.<\/div>\n","protected":false},"excerpt":{"rendered":"

signalling assamblages beyond quantum mechanics: when quantum theory can generate extremal points in a post-quantum framework – A Technical Physics Talk by Pawe\u0142 Horodecki<\/p>\n","protected":false},"author":1652,"featured_media":231,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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