Jop Briet of CWI speaks about a generalized Grothendieck inequality and entanglement in XOR games.

A seminar of research group INS4.

Location: CWI portacabins (Kruislaan 413c), downstairs seminar room (C001).

Abstract:
Suppose Alice and Bob make local two-outcome measurements on a shared entangled state. For any d, we show that there are correlations that can only be reproduced if the local dimension is at least d. This resolves a conjecture of Brunner et al. [Phys. Rev. Lett.  100, 210503 (2008)] and establishes that the amount of entanglement required to maximally violate a Bell inequality must depend on the number of measurement settings, not just the number of measurement outcomes. We prove this result by establishing the first lower bounds on a new generalization of Grothendieck's constant.

Joint work with Harry Buhrman and Ben Toner