Information Causality without concatenation

Abstract

Information Causality is a physical principle which states that the amount of randomly accessible data over a classical communication channel cannot exceed its capacity, even if the sender and the receiver have access to a source of nonlocal correlations. This principle can be used to bound the nonlocality of quantum mechanics without resorting to its full formalism, with a notable example of reproducing the Tsirelson's bound of the Clauser-Horne-Shimony-Holt inequality. Despite being promising, the latter result found little generalization to other Bell inequalities because of the limitations imposed by the process of concatenation, in which several nonsignaling resources are put together to produce tighter bounds. In this work, we show that concatenation can be successfully replaced by limits on the communication channel capacity. It allows us to re-derive and, in some cases, significantly improve all the previously known results in a simpler manner and apply the Information Causality principle to previously unapproachable Bell scenarios.

arXiv comment5 pages, 1 figure, comments are welcome

References in corpus (10)

• Information Causality as a Physical Principle
• Bounding the set of quantum correlations
• A limit on nonlocality in any world in which communication complexity is not trivial
• A Relevant Two Qubit Bell Inequality Inequivalent to the CHSH Inequality
• A glance beyond the quantum model
• Almost quantum correlations
• Recovering part of the quantum boundary from information causality
• Entanglement assisted random access codes
• Closed sets of non-local correlations
• Macroscopically local correlations can violate information causality

Cited by in corpus (10)

• Distilling Nonlocality in Quantum Correlations
• The future of secure communications: device independence in quantum key distribution
• Information causality as a tool for bounding the set of quantum correlations
• Information causality in multipartite scenarios
• Quantum Bell inequalities from Information Causality -- tight for Macroscopic Locality
• Quantifying information flow in quantum processes
• One-time Pad Encryption Model for Non-local Correlations
• Entanglement-swapping in generalised probabilistic theories, and iterated CHSH games
• Information causality beyond the random access code model
• Security of device-independent quantum key distribution via monogamy relations from multipartite information causality