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Local quantum uncertainty (LQU) and local quantum Fisher information (LQFI)are both two tools used to capture purely quantum correlations in multi-partitequantum systems. In this paper, we study these quantifiers in the case ofmultipartite Glauber coherent state which include the GHZ(Greenberger-Horne-Zeilinger) and Werner states. We perform a comparative studybetween LQFI and LQU in an isolated system. Besides, by using the Krausoperator representation, we study the behavior of these quantifiers on thedephasing channel to investigate their performances under the decoherenceeffect. In addition, the robustness to the decoherence effect of these twoquantifiers is studied. We further examine the situation involving themultipartite Glauber coherent state to decide the sensitivity of the probestate as a resource for quantum estimation protocols.

journal of the optical society of america. b, optical physics/journal of the optical society of america. b, online

Enhancing the estimation precision of an unknown phase shift in  multipartite Glauber coherent states via skew information correlations and  local quantum Fisher information