Quantifying of quantum entanglement in Schrödinger cat states with the trapped ion-coherent system for the deep Lamb-Dick regime

Dermez, Rasim

doi:10.1007/s12648-020-01697-4

Cited by 6 publications

(3 citation statements)

References 31 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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“…Late progress and results illustrate that universal quantum computing (QC) can be generalized to multilevel qudits [90,91]. Trapped ions represent an example of a pristine environment that enables scientists to acquire excellent quantum control [42,43,48,[92][93][94][95], which makes them perfect candidates towards implementing qudit-based quantum information processing (QIP) [47,96,97].…”

Section: Generalized Squeezed States Applications For Ion Trapsmentioning

confidence: 99%

Quasienergy operators and generalized squeezed states for systems of trapped ions

Mihalcea

2021

Preprint

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We investigate collective many-body dynamics for a combined (Paul and Penning) trap• The solution of the time-dependent Schrodinger equation is expressed by means of an evolution operator. In order for the system to be stable, the associated quasienergy spectrum has to be discrete. Collective motion is characterized by means of collective variables, and we find the equilibrum points for a 3D quadrupole ion trap (QIT)• We build the coherent states associated to the system using the generators of the Lie algebra for the symplectic group SL(2, R).• We consider a system consisting of identical two-level atoms that undergoes interaction with laser radiation. We infer the Hamilton function for the Dicke model in case of trapped ions. We model the optical system as a HO interacting with an external laser field. Such an approach enables one to build CS by means of the group theory.

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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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Quantifying of quantum entanglement in Schrödinger cat states with the trapped ion-coherent system for the deep Lamb-Dick regime

Cited by 6 publications

References 31 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

Quasienergy operators and generalized squeezed states for systems of trapped ions

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

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