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Does large quantum Fisher information imply Bell correlations?

Florian Fröwis, Matteo Fadel, Philipp Treutlein, Nicolas Gisin, and Nicolas Brunner
Phys. Rev. A 99, 040101(R) – Published 17 April 2019

Abstract

The quantum Fisher information (QFI) of certain multipartite entangled quantum states is larger than what is reachable by separable states, providing a metrological advantage. Are these nonclassical correlations strong enough to potentially violate a Bell inequality? Here, we present evidence from two examples. First, we discuss a Bell inequality designed for spin-squeezed states which is violated only by quantum states with a large QFI. Second, we relax a well-known lower bound on the QFI to find the Mermin Bell inequality as a special case. However, a fully general link between QFI and Bell correlations is still open.

  • Figure
  • Received 17 October 2018

DOI:https://doi.org/10.1103/PhysRevA.99.040101

©2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Florian Fröwis1, Matteo Fadel2, Philipp Treutlein2, Nicolas Gisin1, and Nicolas Brunner1

  • 1Department of Applied Physics, University of Geneva, 1211 Geneva, Switzerland
  • 2Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland

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Issue

Vol. 99, Iss. 4 — April 2019

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