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arXiv · 1009.6161

A complementary relation between classical bits and randomness in local part in simulating singlet state

Guruprasad Kar·MD. Rajjak Gazi·Manik Banik·Subhadipa Das·Ashutosh Rai·Samir Kunkri
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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.

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Guruprasad Kar, MD. Rajjak Gazi, Manik Banik, Subhadipa Das, Ashutosh Rai, Samir Kunkri. 2010-09-30. A complementary relation between classical bits and randomness in local part in simulating singlet state. https://doi.org/10.1088/1751-8113/44/15/152002

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