| Authors |
|
| Publication date |
2009
|
| Number of pages |
13
|
| Publisher |
Amsterdam: Institute for Logic, Language and Computation
|
| Organisations |
-
Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
|
| 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.
|
| Document type |
Working paper
|
| Published at |
http://arxiv.org/abs/0901.2009
|
|
Permalink to this page
|