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

TL;DR

This paper investigates how local quantum uncertainty and local quantum Fisher information can improve the estimation of unknown phase shifts in multipartite Glauber coherent states, analyzing their behavior under decoherence and their usefulness as quantum resources.

Contribution

It provides a comparative analysis of LQU and LQFI in multipartite Glauber states, including their robustness under decoherence and their potential as quantum estimation resources.

Findings

LQFI and LQU quantify quantum correlations in multipartite Glauber states.

Both quantifiers exhibit different sensitivities under dephasing channels.

Multipartite Glauber states can serve as effective resources for quantum estimation.

Abstract

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