Does a large quantum Fisher information imply Bell correlations?

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.

arXiv comment4 pages, minor edits

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• Relating spin squeezing to multipartite entanglement criteria for particles and modes
• Quantum estimation of acceleration and temperature in open quantum system
• Detecting Bell correlations in multipartite non-Gaussian spin states
• Detecting Einstein-Podolsky-Rosen steering in non-Gaussian spin states from conditional spin-squeezing parameters
• Verifying the security of a continuous variable quantum communication protocol via quantum metrology
• Symmetric quantum states: a review of recent progress
• Bounds on detection of Bell correlations with entangled ultra-cold atoms in optical lattices under occupation defects
• Assisted metrology and preparation of macroscopic superpositions with split spin-squeezed states
• Deriving three-outcome permutationally invariant Bell inequalities
• Estimation precision of parameter associated with Unruh-like effect
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