Dynamical characteristic of entropic uncertainty relation in the long-range Ising model with an arbitrary magnetic field

Abdelghany, R. A.; Mohamed, A.-B.A.; Tammam, Mahmoud; Obada, A.‐S. F.

doi:10.1007/s11128-020-02897-x

Cited by 13 publications

(6 citation statements)

References 46 publications

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“…One is devoting to developing different forms like the Rényi entropy to improve the lower bound of EUR [16][17][18][19][20]. Another expends effort toward exploiting the effects of various forms of real environmental noises on the dynamics of EUR [21][22][23][24][25][26][27][28][29]. The third is focusing on the tripartite entropybased uncertainty relation with quantum memory [30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Controllable entropic uncertainty relation in an effective two-level non-Hermitian system

Tang¹,

Liu²,

Li³

et al. 2023

Laser Phys. Lett.

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Under the large detuning conditions, a three-level atom in Λ-type configuration reduced to an effective two-level system has been investigated by Shahriar and Hemmer (1990 Phys. Rev. Lett. 65 1865). By introducing unbalanced gain and loss, we in detail investigate the behaviors of entropic uncertainty relation (EUR) in an effective two-level non-Hermitian system. Compared with the dynamics governed by a Hermitian Hamiltonian, we find the EUR in non-Hermitian system is well defined based on the exceptional points of the effective non-Hermitian system, and displays two distinct behaviors. More specifically, when systems possess an exceptional point above which the EUR undergoes an oscillatory behavior, while below which the EUR increases asymptotically to a finite constant value.

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Section: Introductionmentioning

confidence: 99%

Controllable entropic uncertainty relation in an effective two-level non-Hermitian system

Tang¹,

Liu²,

Li³

et al. 2023

Laser Phys. Lett.

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“…[16][17][18] Moreover, the connection of the bipartite QMA-EUR to the quantum system two-qubit correlations have been investigated. [19][20][21][22][23][24][25][26][27][28][29][30][31] Recently, the effect of a bosonic environment on the measurement uncertainty of two incompatible measurements has been investigated in an open quantum system. [32] For three particles A, B, and C, the tripartite formulation of the QMA-EUR has been suggested by Renes and Boileau [33] and states that…”

Section: Introductionmentioning

confidence: 99%

“…[ 16–18 ] Moreover, the connection of the bipartite QMA‐EUR to the quantum system two‐qubit correlations have been investigated. [ 19–31 ] Recently, the effect of a bosonic environment on the measurement uncertainty of two incompatible measurements has been investigated in an open quantum system. [ 32 ]…”

Section: Introductionmentioning

confidence: 99%

Tripartite Uncertainty, Quantum, and Classical Correlations Dynamics under Unruh Effect

2023

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How the dynamics of classical and quantum correlations due to the Unruh effect are reflected in the properties of tripartite entropic uncertainty is investigated. It is found that, despite the quantum correlations disappearing at the limit of infinite acceleration, the uncertainty about the measurement outcome is at its minimum. This is due to the three‐qubit system still containing classic correlations at that stage of acceleration. Additionally, the decrease in the entropic uncertainty when the measured qubit interacts strongly with the scalar field can be attributed to the increase in classical correlations. Furthermore, it is found that the entropic uncertainty is fully anti‐correlated to classical correlations, and minimal uncertainty can be obtained even in the absence of quantum correlations. A tremendously tight constraint that effectively defined the properties of tripartite entropic uncertainty based on the difference between the total correlation and the Holevo quantities is achieved.

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“…The properties of the QMA-EUR in a spin chain model were studied in a uniform and irregular magnetic field with (D–M) interaction [ 34 ]. It was also explored in the Ising model under long range influence with an arbitrary-magnetic field [ 35 ]. The effect of decoherence on the dynamics of QMA-EUR and the quantum coherence of the system in the subject was reported [ 36 , 37 ].…”

Section: Introductionmentioning

confidence: 99%

Entropic Uncertainty for Two Coupled Dipole Spins Using Quantum Memory under the Dzyaloshinskii–Moriya Interaction

Khedr

Mohamed

Abdel‐Aty

et al. 2021

Entropy

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In the thermodynamic equilibrium of dipolar-coupled spin systems under the influence of a Dzyaloshinskii–Moriya (D–M) interaction along the z-axis, the current study explores the quantum-memory-assisted entropic uncertainty relation (QMA-EUR), entropy mixedness and the concurrence two-spin entanglement. Quantum entanglement is reduced at increased temperature values, but inflation uncertainty and mixedness are enhanced. The considered quantum effects are stabilized to their stationary values at high temperatures. The two-spin entanglement is entirely repressed if the D–M interaction is disregarded, and the entropic uncertainty and entropy mixedness reach their maximum values for equal coupling rates. Rather than the concurrence, the entropy mixedness can be a proper indicator of the nature of the entropic uncertainty. The effect of model parameters (D–M coupling and dipole–dipole spin) on the quantum dynamic effects in thermal environment temperature is explored. The results reveal that the model parameters cause significant variations in the predicted QMA-EUR.

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Dynamical characteristic of entropic uncertainty relation in the long-range Ising model with an arbitrary magnetic field

Cited by 13 publications

References 46 publications

Controllable entropic uncertainty relation in an effective two-level non-Hermitian system

Controllable entropic uncertainty relation in an effective two-level non-Hermitian system

Tripartite Uncertainty, Quantum, and Classical Correlations Dynamics under Unruh Effect

Entropic Uncertainty for Two Coupled Dipole Spins Using Quantum Memory under the Dzyaloshinskii–Moriya Interaction

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