Physics – Quantum Physics
Scientific paper
2010-06-15
Phys. Rev. A 82, 022116 (2010)
Physics
Quantum Physics
9 pages, 3 figures, 1 table
Scientific paper
The I3322 inequality is the simplest bipartite two-outcome Bell inequality beyond the Clauser-Horne-Shimony-Holt (CHSH) inequality, consisting of three two-outcome measurements per party. In case of the CHSH inequality the maximal quantum violation can already be attained with local two-dimensional quantum systems, however, there is no such evidence for the I3322 inequality. In this paper a family of measurement operators and states is given which enables us to attain the largest possible quantum value in an infinite dimensional Hilbert space. Further, it is conjectured that our construction is optimal in the sense that measuring finite dimensional quantum systems is not enough to achieve the true quantum maximum. We also describe an efficient iterative algorithm for computing quantum maximum of an arbitrary two-outcome Bell inequality in any given Hilbert space dimension. This algorithm played a key role to obtain our results for the I3322 inequality, and we also applied it to improve on our previous results concerning the maximum quantum violation of several bipartite two-outcome Bell inequalities with up to five settings per party.
Pal Karoly F.
Vértesi Tamas
No associations
LandOfFree
Maximal violation of the I3322 inequality using infinite dimensional quantum systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Maximal violation of the I3322 inequality using infinite dimensional quantum systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Maximal violation of the I3322 inequality using infinite dimensional quantum systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-105351