Work

Certifying nonlocality from separable marginals

Year: 2014

Type: article

Abstract: Imagine three parties, Alice, Bob, and Charlie, who share a state of three qubits such that all two-party reduced states $A$-$B$, $A$-$C$, and $B$-$C$ are separable. Suppose that they have information only about these marginals but not about the global state. According to recent results, there exists an example for a set of three separable two-party reduced states that is only compatible with an entangled global state. In this paper, we show a stronger result by exhibiting separable two-party reduced states $A$-$B$, $A$-$C$, and $B$-$C$, such that any global state compatible with these marginals is nonlocal. Hence, we obtain that nonlocality of multipartite states can be certified from information only about separable marginals.

Source: Physical Review A

DOI: 10.1103/physreva.89.012115

Authors: Tamás Vértesi, Wiesław Laskowski, Károly F. Pál

Institutions: HUN-REN Institute for Nuclear Research, Hungarian Academy of Sciences, University of Gdańsk

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2083709744

FWCI: 0.33

Cites: 39

Cited by: 8

Related to: 10