Monogamy of Information Causality

TL;DR

This paper demonstrates that information causality remains valid in multi-receiver scenarios with non-local resources, establishing a monogamy relation of entanglement and linking it to spin-glass models.

Contribution

It proves that multi-partite non-local resources do not violate information causality and introduces a connection to spin-glass Bethe lattice models.

Findings

Information causality holds with multi-partite non-local resources.

Multi-party nonlocal resources are limited to information splitting.

The trade-off implies monogamy of entanglement.

Abstract

We consider the information causality in the multi-receiver random access codes. Therein, no receiver can gain any information only from classical communication. We claim the following statement. Information causality still holds even with the help of the multi-partite physical non-local resource. That is, the summation of all revivers' information gain cannot be greater than the amount of classical communication. The distributive multi-party physical nonlocal resource can be exploited only for information splitting. It is proved that such trade-off leads to the monogamy of entanglement. Finally the connection between information causality and spin-glass Bethe lattice is discussed.