Quantification of Mixed-State Entanglement in a Quantum System Interacting with Two Time-Dependent Lasers

Dermez, Rasim

doi:10.1007/s10946-013-9342-y

Cited by 8 publications

(2 citation statements)

References 33 publications

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“…Consequently, the optimum values in our figures agree with the results of other studies, that deal with elaborated quantum measurements such as fidelity and C [7,[46][47][48][49][50][51]. This is because, in an ion-phonon system, the amount and duration of entanglement are developed in comparison with other studies.…”

Section: Entanglement Measures and Fidelitysupporting

confidence: 90%

Fidelity and concurrence of entangled qudits between a trapped ion and two laser beams

Dermez

Abdel‐Khalek²,

Khalil³

2021

Rev. Mex. Fís.

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A quantum scheme is presented by which a three-level trapped ion interacts with a two laser beams in the absence and presence of the e®ect of classical field. We analyze the impact of the classical ¯eld and the Lamb-Dicke parameter (LDP) on the dynamical behavior of entanglement quanti¯er, population probabilities and the geometric phase. Based on four different variations of these two effects, LDP = 0.1, LDP=0.01 and ¯ = 0.0, ¯ = 0.49, the time dependence of geometric phase and populations probabilities are shown. The ¯nding emphasizes that both the time-dependent and LDP play an important role in the development of the entanglement, the geometric phase, ¯delity, and populations probabilities. This in-sight may be very useful in various applications in quantum optics and information processing.

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Section: Entanglement Measures and Fidelitysupporting

confidence: 90%

Fidelity and concurrence of entangled qudits between a trapped ion and two laser beams

Dermez

Abdel‐Khalek²,

Khalil³

2021

Rev. Mex. Fís.

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“…For example, qutrit or quadrit state can be called a qudit state. Pure and mixed qudits can be obtained due to the interaction between two laser beams and the three-levels TRI with specific initial state conditions [6,9,10]. It is fundamental within the probability interpretation as initiated by M. Born and pushed into a general form by P. A. M. Dirac, J. von Neumann, G. Birkhoff and many others [11].…”

Section: Introductionmentioning

confidence: 99%

Two measures elaborated for entangled states: Quantum entropy and fidelity using Schmidt coefficients of the reduced density matrix of full TRI

Dermez

Tunçer

2022

Rev. Mex. Fís.

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In the present study, we determined quantum entanglement in a full trapped ion (TRI)-coherent system and its dependence on the LambDicke parameter (LDP). We investigated the entanglement in view of two elaborated measurements of the family: entropy and fidelity. We selected three values of the deep LDP to demonstrate the benefits of these two critical measures. The findings obtained in this study showed that the maximum value of fidelity for entangled states is quantified approximately to be 0.35, and the long lifetime is also observed with entropy measurement. The findings suggest that three coupling parameters play a significant role in developing quantum entanglement.

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Generalized Concurrence and Negativity in Time-Dependent C 3 ⊗ C 5 = C 15 Dimensional Ionic–Phononic Systems

Dermez

2016

J Russ Laser Res

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Quantification of Mixed-State Entanglement in a Quantum System Interacting with Two Time-Dependent Lasers

Cited by 8 publications

References 33 publications

Fidelity and concurrence of entangled qudits between a trapped ion and two laser beams

Fidelity and concurrence of entangled qudits between a trapped ion and two laser beams

Two measures elaborated for entangled states: Quantum entropy and fidelity using Schmidt coefficients of the reduced density matrix of full TRI

Generalized Concurrence and Negativity in Time-Dependent C 3 ⊗ C 5 = C 15 Dimensional Ionic–Phononic Systems

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