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|Title: ||Optimal free will on one side in reproducing the singlet correlation|
|Authors: ||Banik, M|
Gazi, Md. R
|Issue Date: ||2012|
|Publisher: ||J. Phys. A: Math. Theor.|
|Citation: ||M. Banik, Md. R. Gazi, Subhadipa Das, Ashutosh Rai, S. Kunkri, Optimal free will on one side in reproducing the singlet correlation, J. Phys. A: Math. Theor., 2012, 45, 205301|
|Abstract: ||Bell’s theorem teaches us that there are quantum correlations that cannot be
simulated by just shared randomness (local hidden variable). There are some
recent results which simulate the singlet correlation by using either 1 bit or a
binary (no-signaling) correlation which violates 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, Hall showed that the statistics of a singlet state can be generated by
sacrificing measurement independence where underlying distribution of hidden
variables depends on measurement directions of both parties (Hall 2010 Phys.
Rev. Lett. 105 250404). 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 the singlet correlation
when the underlying distribution of hidden variables depends only on the
measurements of one party. We also show that a distribution corresponding to
this optimal lack of free will already exists in the literature which first appeared
in the context of detection efficiency loophole (Gisin and Gisin 1999 Phys.
Lett. A 323–7)|
|Appears in Collections:||2012|
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