Physics – Quantum Physics
Scientific paper
2012-04-17
Physics
Quantum Physics
7 pages (single column), accepted in J. Phys. A: Math. Theor
Scientific paper
Bell's theorem teaches us that there are quantum correlations that can not be simulated by just shared randomness (Local Hidden variable). There are some recent results which simulate singlet correlation by using either 1 cbit or a binary (no-signaling) correlation which violate Bell's inequality maximally. But there is one more possible way to simulate quantum correlation by relaxing the condition of independency of measurement on shared randomness. Recently, MJW Hall showed that the statistics of singlet state can be generated by sacrificing measurement independence where underlying distribution of hidden variables depend on measurement direction of both parties [Phys. Rev. Lett.105 250404 (2010)]. He also proved that for any model of singlet correlation, 86% measurement independence is optimal. In this paper, we show that 59% measurement independence is optimal for simulating singlet correlation when the underlying distribution of hidden variables depend only on measurements of one party. We also show that a distribution corresponding to this optimal lack of free will, already exists in literature which first appeared in the context of detection efficiency loophole.
Banik Manik
Das Subhadipa
Gazi MD Rajjak
Kunkri Samir
Rai Ashutosh
No associations
LandOfFree
Optimal free-will on one side in reproducing the singlet correlation 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 Optimal free-will on one side in reproducing the singlet correlation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal free-will on one side in reproducing the singlet correlation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-290392