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Abderrahim El Allati

Publications and source records attributed to Abderrahim El Allati.

21 records · Page 2Linked to original sources

Strong quantum correlation in a pair hybrid optomechanical cavities

We show the quantum correlation between two coupled hybrid optomechanical cavities by quantifying the non-classical correlation using Gaussian quantum discord. This involves analyzing and solving Heisenberg Langevin equations to obtain the (12*12)dimensional covariance matrix of this system. Based on the experimentalist conditions, we simulate quantum correlation of bipartite steady-state with continuous conditions using Guassian quantum discord. We know that the generation of quantum correlation and its robustness essentially depend on the physical parameters of the system. We provide the stability analysis by means of the RuthsHurwitz criterion to confirm the choices made during the analysis of quantum discord dynamics.

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Memory effect on the bidirectional teleportation

In this contribution, we have investigated the bidirectional quantum teleportation (BQT) of single-qubit states using a Bell state influenced by decoherence channels with memory, dephasing and amplitude damping channels. The expressions of the negativity, as a measure of the entanglement remaining in the BQT quantum channel, the teleportation fidelities and the quantum Fisher information are also evaluated. We find that both these last quantities depend on the survival amount of entanglement in the BQT quantum channel, on the decoherence factor and on the correlation degree of the decoherence channel. We show that in the Markovian regime, the Negativity, the teleportation average fidelities and the quantum Fisher information are slightly enhanced by considering the classical channel correlations. Besides, in the non-Markovian regime, these three quantities could be improved for a long period of time.

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Engineering entanglement and teleportation via solving Lindblad master equation

An experimentally realizable model based on the interaction between an excited two-level atom and a radiation field inside two quantum electrodynamics cavities is proposed. It consists of sending an excited two-level atom through two serial cavities which contain the radiation field. Hence, the Lindblad master equation described the reduced density matrix of the joint-joint field system inside the cavities is exactly solved in Markovian and non-Markovian regimes. However, the rate of entanglement inherent in the total field-field system are evaluated using various witnesses of entanglement such as concurrence, logarithmic negativity and quantum discord. Moreover, the non-classicality by means of negativity volume and Wigner function is discussed. Finally, two schemes of quantum teleportation are suggested.

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