Macroscopically local correlations can violate information causality

Abstract

Although quantum mechanics is a very successful theory, its foundations are still a subject of intense debate. One of the main problems is the fact that quantum mechanics is based on abstract mathematical axioms, rather than on physical principles. Quantum information theory has recently provided new ideas from which one could obtain physical axioms constraining the resulting statistics one can obtain in experiments. Information causality and macroscopic locality are two principles recently proposed to solve this problem. However none of them were proven to define the set of correlations one can observe. In this paper, we present an extension of information causality and study its consequences. It is shown that the two above-mentioned principles are inequivalent: if the correlations allowed by nature were the ones satisfying macroscopic locality, information causality would be violated. This gives more confidence in information causality as a physical principle defining the possible correlation allowed by nature.

are welcome. 6 pages, 4 figs. This is the originally submitted version. The published version contains some bounds on quantum realizations of d2dd isotropic boxes (table 1), found by T. Vertesi, who kindly shared them with us

References in corpus (11)

• Information Causality as a Physical Principle
• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• Non-local correlations as an information theoretic resource
• Bounding the set of quantum correlations
• A limit on nonlocality in any world in which communication complexity is not trivial
• General properties of Nonsignaling Theories
• The uncertainty principle determines the non-locality of quantum mechanics
• A glance beyond the quantum model
• No quantum advantage for nonlocal computation
• Recovering part of the quantum boundary from information causality
• Implausible Consequences of Superstrong Nonlocality

Cited by in corpus (25)

• Bell nonlocality
• Almost quantum correlations
• Quantum correlations require multipartite information principles
• Semidefinite programming relaxations for quantum correlations
• The exclusivity principle forbids sets of correlations larger than the quantum set
• Information Causality and Extremal Tripartite Correlations
• Dimension of physical systems, information processing, and thermodynamics
• Monotone Measures for Non-Local Correlations
• Tsirelson's bound from a Generalised Data Processing Inequality
• Quantum Bell Inequalities from Macroscopic Locality
• Bounding the plausibility of physical theories in a device-independent setting via hypothesis testing
• Information Causality without concatenation
• Quantum information causality
• Popescu-Rohrlich correlations imply efficient instantaneous nonlocal quantum computation
• Information Causality in the Quantum and Post-Quantum Regime
• The Exclusivity Principle and the Set of Quantum Correlations
• Information causality as a tool for bounding the set of quantum correlations
• Information causality in multipartite scenarios
• Quantum Nonlocal Boxes Exhibit Stronger Distillability
• Macroscopic locality with equal bias reproduces with high fidelity a quantum distribution achieving the Tsirelson's bound
• Postquantum steering
• Quantum Bell inequalities from Information Causality -- tight for Macroscopic Locality
• Information causality beyond the random access code model
• Indefinite global time
• Testing Information Causality for General Quantum Communication Protocols