Simple and tight monogamy relations for a class of Bell inequalities

Abstract

Physical principles constraints the way nonlocal correlations can be distributed among distant parties in a Bell-type experiment. These constraints are usually expressed by monogamy relations that bound the amount of Bell inequality violation observed by a set of parties by the violation observed by a different set of parties. Here we show that the no-signaling principle yields a simple and tight monogamy relations for an important class of bipartite and multipartite Bell inequalities. We also link these trade-offs to the guessing probability--a key quantity in the device-independent information processing.

9 pages

References in corpus (4)

• Device-independent security of quantum cryptography against collective attacks
• Private Randomness Expansion With Untrusted Devices
• Local hidden--variable models for entangled quantum states
• Monogamy of Bell's inequality violations in non-signaling theories

Cited by in corpus (2)

• Unmasking the Polygamous Nature of Quantum Nonlocality
• The Richness of Bell Nonlocality: Generalized Bell Polygamy and Hyper-Polygamy