Physics – Quantum Physics
Scientific paper
2010-09-30
J. Phys. A: Math. Theor. 44 (2011) 152002 (5pp)
Physics
Quantum Physics
v3: Typos corrected, few changed notations, some extensions to earlier write-up
Scientific paper
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.
Banik Manik
Das Subhadipa
Gazi MD Rajjak
Kar Guruprasad
Kunkri Samir
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