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

We examine the role of quantum correlations, contained multipartite Glauber coherent states, in enhancing the precision in the estimation of an unknown phase shift. We give the explicit form of quantum Fisher information in even and odd multipartite coherent states. Two different pairing schemes are...

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Bibliographic Details
Published in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2019-09, Vol.73 (9), p.1-14, Article 194
Main Authors: Laghmach, Rachid, El Hadfi, Hanane, Kaydi, Wiam, Daoud, Mohammed
Format: Article
Language:English
Subjects:
Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Coherence
Correlation
Fisher information
Interferometry
Molecular
Optical and Plasma Physics
Phase shift
Physical Chemistry
Physics
Physics and Astronomy
Quantum Information Technology
Quantum Physics
Qubits (quantum computing)
Regular Article
Sensitivity analysis
Spectroscopy/Spectrometry
Spintronics
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Summary:We examine the role of quantum correlations, contained multipartite Glauber coherent states, in enhancing the precision in the estimation of an unknown phase shift. We give the explicit form of quantum Fisher information in even and odd multipartite coherent states. Two different pairing schemes are considered to evaluate the sensitivity of the probe state to the phase shift for some relevant local Hamiltonians. Also, a particular interest is dedicated to the derivation of the quantum interferometric power which quantifies the amount of non-classical correlations. This quantum correlations quantifier is compared with the original quantum discord built upon von Neumann entropy and we discuss the effects of quantum correlations in quantum metrology protocols. In addition, the dynamics of quantum Fisher information about a dephasing channel is studied. In order to illustrate our results, we examine the situation involving tripartite coherent states to determine the sensitivity of the probe state when the first qubit is driven by an arbitrary local Hamiltonian. Graphical abstract
ISSN:1434-6060
1434-6079
DOI:10.1140/epjd/e2019-100053-4