Full Network Nonlocality

Alejandro Pozas-Kerstjens, Nicolas Gisin, and Armin Tavakoli
Phys. Rev. Lett. 128, 010403 – Published 7 January 2022
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Abstract

Networks have advanced the study of nonlocality beyond Bell’s theorem. Here, we introduce the concept of full network nonlocality, which describes correlations that necessitate all links in a network to distribute nonlocal resources. Showcasing that this notion is stronger than standard network nonlocality, we prove that the most well-known network Bell test does not witness full network nonlocality. In contrast, we demonstrate that its generalization to star networks is capable of detecting full network nonlocality in quantum theory. More generally, we point out that established methods for analyzing local and theory-independent correlations in networks can be combined in order to systematically deduce sufficient conditions for full network nonlocality in any network and input-output scenario. We demonstrate the usefulness of these methods by constructing polynomial witnesses of full network nonlocality for the bilocal scenario. Then, we show that these inequalities can be violated via quantum elegant joint measurements.

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  • Received 19 May 2021
  • Accepted 24 November 2021

DOI:https://doi.org/10.1103/PhysRevLett.128.010403

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Alejandro Pozas-Kerstjens1,2, Nicolas Gisin3,4, and Armin Tavakoli5,6

  • 1Departamento de Análisis Matemático, Universidad Complutense de Madrid, 28040 Madrid, Spain
  • 2Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), 28049 Madrid, Spain
  • 3Group of Applied Physics, University of Geneva, 1211 Geneva 4, Switzerland
  • 4Schaffhausen Institute of Technology—SIT, 1211 Geneva, Switzerland
  • 5Institute for Quantum Optics and Quantum Information—IQOQI Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria
  • 6Institute for Atomic and Subatomic Physics, Vienna University of Technology, 1020 Vienna, Austria

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Issue

Vol. 128, Iss. 1 — 7 January 2022

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