A complementary relation between classical bits and randomness in local part in simulating singlet state
Abstract
Recently Leggett's proposal of non-local model generates new interest in simulating the statistics of singlet state. Singlet state statistics can be simulated by 1 bit of classical communication without using any further nonlocal correlation. But, interestingly, singlet state statistics can also be simulated with no classical cost if a non-local box is used. In the first case, the output is completely unbiased whereas in second case outputs are completely random. We suggest a new (possibly) signaling correlation resource which successfully simulates singlet statistics and this result suggests a new complementary relation between required classical bits and randomness in local output when the classical communication is limited by 1 cbit. This result reproduces the above two models of simulation as extreme cases. This also explains why Leggett's non-local model and the model presented by Branciard et.al. should fail to reproduce the statistics of a singlet.
Keywords
Cite
@article{arxiv.1009.6161,
title = {A complementary relation between classical bits and randomness in local part in simulating singlet state},
author = {Guruprasad Kar and MD. Rajjak Gazi and Manik Banik and Subhadipa Das and Ashutosh Rai and Samir Kunkri},
journal= {arXiv preprint arXiv:1009.6161},
year = {2013}
}
Comments
v3: Typos corrected, few changed notations, some extensions to earlier write-up