BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Talks.cam//talks.cam.ac.uk// X-WR-CALNAME:Talks.cam BEGIN:VEVENT SUMMARY:Embezzlement of entanglement and the classification of von Neumann algebras - Alexander Stottmeister (Leibniz Universität Hannover) DTSTART:20241202T145000Z DTEND:20241202T153000Z UID:TALK218596@talks.cam.ac.uk DESCRIPTION:I will discuss the embezzlement of entanglement in the setting of von Neumann algebras and how it relates to the classification of the l atter. Embezzlement (of entanglement)\, following van Dam and Hayden\, is the task of producing any entangled state to arbitrary precision from a sh ared entangled resource state\, the embezzling state\, using local operati ons without communication while perturbing the resource arbitrarily little . \;\nIt can be shown that Connes' classification of type III factors can be given a quantitative operational interpretation in terms of embezzl ement. This quantification implies that:\n1) semifinite factors (type I or II) cannot host embezzling states\,\n2) all type III factors\, apart from some type III_0 factors\, host embezzling states\,\n3) type III_1 factors are characterized as 'universal embezzlers'\, meaning that every normal s tate is embezzling.\nThese results follow from a one-to-one correspondence between embezzling states and invariant states on the flow of weights.\nI t can be demonstrated that universal embezzlement occurs in various releva nt physical models\, such as critical spin chains and quantum field theori es. The latter observation provides a simple explanation for why relativis tic quantum field theories maximally violate Bell inequalities.\nIf time p ermits\, I will also discuss the relationship between embezzling states an d embezzling families (originally discovered by van Dam and Hayden)\, as w ell as some recent findings in the multipartite setting.\nThis is joint wo rk with Lauritz van Luijk\, Reinhard F. Werner\, and Henrik Wilming. LOCATION:Seminar Room 1\, Newton Institute END:VEVENT END:VCALENDAR