Work

Fully Nonlocal, Monogamous, and Random Genuinely Multipartite Quantum Correlations

Year: 2012

Type: article

Abstract: Local measurements on bipartite maximally entangled states can yield correlations that are maximally nonlocal, monogamous, and with fully random outcomes. This makes these states ideal for bipartite cryptographic tasks. Genuine-multipartite nonlocality constitutes a stronger notion of nonlocality in the multipartite case. Maximal genuine-multipartite nonlocality, monogamy, and random outcomes are thus highly desired properties for genuine-multipartite cryptographic scenarios. We prove that local measurements on any Greenberger-Horne-Zeilinger state can produce correlations that are fully genuine-multipartite nonlocal, monogamous, and with fully random outcomes. A key ingredient in our proof is a multipartite chained Bell inequality detecting genuine-multipartite nonlocality, which we introduce. Finally, we discuss applications to device-independent secret sharing.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.108.100401

Authors: Leandro Aolita, Rodrigo Gallego, Adán Cabello, Antonio Acín

Institutions: Institute of Photonic Sciences, Stockholm University, Universidad de Sevilla, Institució Catalana de Recerca i Estudis Avançats

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: G125160087