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About this paper
Marco Pompili, Mirjam Weilenmann
The authors show that information causality does not characterize bipartite quantum correlations. They construct non-signalling correlations and prove that a three-input, two-outcome behavior obeys information causality for every database length and every protocol using any finite number of independent copies, yet has no commuting-operator quantum realization. This refutes known formulations, but leaves open whether a stronger principle could succeed.
Key insights
- Passing IC is not sufficient to guarantee that a correlation is quantum: the paper gives IC-compatible examples outside the commuting-operator quantum set.
- The two constructions address complementary protocol regimes: ghostworld extensions handle each finite database size, while contraction bounds cover arbitrary lengths in the three-input, binary-output scenario.
- IC-compatible correlations need not contain all quantum correlations; the ghostworld sets also exclude some quantum behaviors, so they do not simply form a larger set than the quantum set.
Summary by alphaXiv.
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