Limits on Correlations in Networks for Quantum and No-Signaling Resources

Marc-Olivier Renou, Yuyi Wang, Sadra Boreiri, Salman Beigi, Nicolas Gisin, and Nicolas Brunner
Phys. Rev. Lett. 123, 070403 – Published 15 August 2019
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Abstract

A quantum network consists of independent sources distributing entangled states to distant nodes which can then perform entangled measurements, thus establishing correlations across the entire network. But how strong can these correlations be? Here we address this question, by deriving bounds on possible quantum correlations in a given network. These bounds are nonlinear inequalities that depend only on the topology of the network. We discuss in detail the notably challenging case of the triangle network. Moreover, we conjecture that our bounds hold in general no-signaling theories. In particular, we prove that our inequalities for the triangle network hold when the sources are arbitrary no-signaling boxes which can be wired together. Finally, we discuss an application of our results for the device-independent characterization of the topology of a quantum network.

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  • Received 29 January 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.070403

© 2019 American Physical Society

Physics Subject Headings (PhySH)

NetworksQuantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Marc-Olivier Renou1, Yuyi Wang2,3, Sadra Boreiri1, Salman Beigi4, Nicolas Gisin1, and Nicolas Brunner1

  • 1Département de Physique Appliquée, Université de Genève, CH-1211 Genève, Switzerland
  • 2Distributed Computing Group, ETH Zurich, CH-8092 Zurich, Switzerland
  • 3X-Order Lab, Shanghai, China
  • 4School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, P. O. Box 19395-5746, Iran

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Issue

Vol. 123, Iss. 7 — 16 August 2019

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