BEGIN:VCALENDAR VERSION:2.0 BEGIN:VEVENT SUMMARY:Lower bounding convex roofs DESCRIPTION:The convex roof construction plays an important role in quantum information theory. In this work we develop a general method to find lower bounds on the convex roof for a large class of functions using insights from entanglement theory. It can be tackled numerically with the help of semidefinite programming and can be applied to various different problems. We demonstrate this for entanglement questions of the bipartite and multipartite setting, including: bipartite entanglement quantification via full, partial or device-independent knowledge, Schmidt rank determination, detection of genuine multiparticle entanglement and discrimination between the W and GHZ class of three qubit systems. LOCATION:Erwin-Schödinger-Saal, IQOQI DTSTART:20140116T140000 DTEND:20140116T150000 TZID: Europe/Vienna END:VEVENT END:VCALENDAR