Seminar @IF-UFRJ: Ray Lal (Oxford), 30.07, 10:00Posted: July 28, 2015
Did you know that mathematical relations can be established between quantum contextuality and topologically nontrivial figures like the Möbius strip? This will be the topic of a talk by Raymond Lal, from the University of Oxford, this Thursday at the Physics Institute of the Federal University of Rio de Janeiro. The full abstract can be seen below.
When: Thursday, 30 July 2015, 10:00
Where: Physics Institute at UFRJ, room A343
Title: The topology of contextuality: a new perspective on quantum no-go theorems
Abstract: Contextuality is a key feature of quantum mechanics that provides an important non-classical resource for quantum information and computation. Recently, a unified treatment of contextuality in quantum theory has emerged, based on topological ideas, which subsumes no-go results such as Bell non-locality and the Kochen-Specker theorem. We can use this approach to show how an important class of contextuality arguments bears a striking analogy with impossible figures, such as the Penrose staircase. More specifically, we show that ‘all-vs-nothing’ proofs of contextuality, such as the well-known Mermin-GHZ argument, are witnessed by cohomological obstructions.