Wiring of No-Signaling Boxes Decreases Maximal Correlation

摘要: No-signaling boxes are the abstract objects for studying non-locality, and wirings local operations on space of no-signaling boxes. Although non-trivial examples known, there is no systematic way to study wirings. In particular, given a set boxes, we do not know general method prove that it closed under this paper define an invariant in terms so called hypercontractivity ribbon, certain subset real plane. We then show starting from some copies box, its ribbon can only expand That is, monotone same result another which first time call maximal correlation ribbon. conclude well-known measure correlation, when appropriately defined decrease These results provide us with constructing sets As application our results, conjecture about impossibility simulating isotropic each other. particular continuum