Dynamic of quantum Fisher information and quantum interferometric power in multipartite coherent states

Laghmach, R.; Hadfi, H. El; Kaydi, W.; Daoud, Mohammed

doi:10.1140/epjd/e2019-100053-4

Cited by 6 publications

(2 citation statements)

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“…In a generic estimation protocol, an initial quantum state ρ(0) that undergoes unitary evolution Ûθ = exp(−i Ĥθ), the issue is how precisely can the parameter θ be estimated? The answer is given by the quantum Cramér-Rao bound (QCRB) which places a lower bound on the sensitivity [33,34], i.e. ∆θ ≥ 1/ √ F in term of quantum Fisher information given by…”

Section: Local Quantum Fisher Information For Bipartite Coherent Statesmentioning

confidence: 99%

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

Bakraoui,

Slaoui,

Hadfi

et al. 2021

Preprint

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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-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. In our work, 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. Also, we examine the situation involving the multipartite Glauber coherent state to decide the sensitivity of the probe state as a resource for quantum estimation protocols.

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Section: Local Quantum Fisher Information For Bipartite Coherent Statesmentioning

confidence: 99%

“…Using the expression (34), we calculate the matrix W DC to compute the local quantum uncertainty in presence of decoherence effects.…”

Section: B Lqu Under Dephasing Channelmentioning

confidence: 99%