A generalized Grothendieck inequality and entanglement in XOR games
| dc.creator | Briët, Jop | |
| dc.creator | Buhrman, Harry | |
| dc.creator | Toner, Ben | |
| dc.date | 2009-01-14 | |
| dc.date.accessioned | 2026-07-07T12:29:31Z | |
| dc.date.available | 2026-07-07T12:29:31Z | |
| dc.description | 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. | |
| dc.description | Version submitted to QIP on 10-20-08. See also arxiv:0812.1572 for related results, obtained independently | |
| dc.identifier | https://arxiv.org/abs/0901.2009 | |
| dc.identifier | http://arxiv.org/abs/0901.2009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215905 | |
| dc.subject | Quantum Physics | |
| dc.title | A generalized Grothendieck inequality and entanglement in XOR games | |
| dc.type | text |