Biswajit Paul, Kaushiki Mukherjee, Debasis Sarkar
It is known that Bell inequalities are violated by quantum mechanics. So, one of the properties, like, determinism, no signaling and measurement independence which are required for framing Bell inequality, is incompatible with quantum correlations. Thus, any model simulating quantum correlations must either individually or jointly give up these physical constraints. Recently, M. J. W. Hall (Phys Review A, \textbf{84}, 022102 (2011)) derived different forms of Bell inequalities under the assumption of individual or joint relaxation of those physical properties on both sides. One sided relaxation can also be a useful resource for simulating singlet correlations. For that we have derived a Bell-type inequality under the assumption of joint relaxation of determinism and no signaling on one side. It is shown that for the previous case, if we increase measurement settings per party, then the Bell-type inequality takes a different form. We also relaxed no signaling, determinism and measurement independence all at the same time on one side and framed corresponding Bell-type inequality. In each case, we have obtained the minimum degree of relaxation of these physical properties for any model which violates a standard Bell inequality.
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http://arxiv.org/abs/1304.7409
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