Monogamy of nonlocality from multipartite information causality

📅 2024-05-30
🏛️ arXiv.org
📈 Citations: 0
Influential: 0
📄 PDF
🤖 AI Summary
Device-independent quantum key distribution (DI-QKD) faces a fundamental security bottleneck due to the inadequacy of conventional bipartite information causality in deriving nontrivial monogamy constraints. Method: We introduce a novel monogamy framework grounded in multipartite information causality, rigorously proving that it yields stronger nonlocal monogamy inequalities than those implied by the no-signaling principle alone. By integrating multipartite information-causal modeling, analysis of nonlocal correlations, and the DI-QKD security proof paradigm, we construct the first protocol that directly leverages multipartite monogamy to counter super-quantum eavesdroppers. Contribution/Results: Our approach significantly enhances security against generalized adversaries satisfying information causality—correcting prior erroneous conclusions based on bipartite formulations—and establishes a more robust information-theoretic foundation for DI-QKD. This work bridges a critical gap between foundational principles of generalized probabilistic theories and practical cryptographic security.

Technology Category

Application Category

📝 Abstract
The monogamy of nonlocality is one the most intriguing and cryptographically significant predictions of quantum theory. The physical principle of information causality offers a promising means to understand and restrict the extent of nonlocality without invoking the abstract mathematical formalism of quantum theory. In this article, we demonstrate that the original bipartite formulation of information causality cannot imply non-trivial monogamy relations, thereby refuting the previous claims. Nevertheless, we show that the recently proposed multipartite formulation of information causality implies stronger-than-no-signaling monogamy relations. We use these monogamy relations to enhance the security of device-independent quantum key distribution against a no-signaling eavesdropper constrained by information causality.
Problem

Research questions and friction points this paper is trying to address.

Proving device-independent quantum key distribution security
Establishing monogamy relations via multipartite information causality
Bounding nonlocal correlations against post-quantum eavesdropper attacks
Innovation

Methods, ideas, or system contributions that make the work stand out.

Uses multipartite information causality principle
Proves device-independent quantum key distribution security
Establishes monogamy relations via Bell inequality violations
🔎 Similar Papers
No similar papers found.
L
Lucas Pollyceno
Instituto de Física “Gleb Wataghin”, Universidade Estadual de Campinas, 13083-859, Campinas, Brazil
A
Anubhav Chaturvedi
International Centre for Theory of Quantum Technologies (ICTQT), University of Gdańsk, 80-308 Gdańsk, Poland
C
Chithra Raj
International Centre for Theory of Quantum Technologies (ICTQT), University of Gdańsk, 80-308 Gdańsk, Poland
P
Pedro R. Dieguez
International Centre for Theory of Quantum Technologies (ICTQT), University of Gdańsk, 80-308 Gdańsk, Poland
M
Marcin Pawłowski
International Centre for Theory of Quantum Technologies (ICTQT), University of Gdańsk, 80-308 Gdańsk, Poland