Thermal quantum correlations in a two-qubit Heisenberg model under Calogero–Moser and Dzyaloshinsky–Moriya interactions

Sbiri, A.; Oumennana, Mansoura; Mansour, M.

doi:10.1142/s0217984921506181

Cited by 21 publications

(4 citation statements)

References 65 publications

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“…Among these discord-type quantifiers, we find the local quantum uncertainty (LQU) [22] which is based on the notion of Wigner-Yanase skew information [23,24]. LQU has been extensively employed to assess quantum correlations in various quantum systems [25][26][27][28][29][30][31][32][33]. While quantum correlations concern composite systems, quantum coherence, which embodies the superposition principle, is defined for a single quantum system as a whole.…”

Section: Introductionmentioning

confidence: 99%

Quantum correlations and coherence in a mixed spin- (12,1) Heisenberg dimer under intrinsic decoherence

Oumennana,

Mansour

2024

Phys. Scr.

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This research delves into the dynamical behavior of quantum correlations and coherence within a mixed Heisenberg dimer system under the intrinsic decoherence. Our approach involves the application of logarithmic negativity, local quantum uncertainty, and the ℓ 1 norm-based coherence as quantifiers for entanglement, skew information correlations, and quantum coherence in this qubit-qutrit model. Our primary objective is to explore the impact of various factors on the dynamics of quantum correlations and quantum coherence. These factors encompass the initial density matrix and its mixing parameter, the intrinsic decoherence rate (γ), the external magnetic field, as well as intrinsic system parameters, notably the XXZ and uniaxial single-ion anisotropies. Our results demonstrate that the introduction of intrinsic decoherence (ID) significantly erodes quantum resources. Particularly, for high values of the ID rate (γ), excessive damping occurs, leading to the absence of oscillations or a rapid decay of quantum resources, ultimately stabilizing in steady states. Furthermore, the presence of an external homogeneous magnetic field further diminishes quantum resources within the system. However, despite the degradation induced by the combined influence of intrinsic decoherence and high external magnetic field intensities, the judicious selection of the initial density matrix and precise adjustment of the uniaxial single-ion anisotropy enable the preservation of quantum resources within the mixed spin-(1/2, 1) Heisenberg dimer.

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Section: Introductionmentioning

confidence: 99%

Quantum correlations and coherence in a mixed spin- (12,1) Heisenberg dimer under intrinsic decoherence

Oumennana,

Mansour

2024

Phys. Scr.

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“…On the other hand, the notion of skew information has been proposed as a quantifier of noncommutativity between a considered quantum state and a local observable [28,29], and the local quantum uncertainty (LQU) has been introduced in [30] as a quantum skew-information correlations quantifier. LQU is extensively investigated in the literature (see for example [31][32][33][34][35][36]).…”

Section: Introductionmentioning

confidence: 99%

Quantum correlations and thermal coherence in a two-superconducting charge qubit system

Benzahra,

Mansour,

Oumennana

et al. 2023

Laser Phys.

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Superconducting charge qubits represent a cutting-edge technology in the field of quantum computing, offering a promising platform for quantum processing. This study delves into the behaviors of thermal coherence and quantum correlations within a two-superconducting charge qubit system coupled by a fixed capacitance. Specifically, we investigate the effects of thermal noise on entanglement (measured by concurrence), nonclassical correlations (quantified by local quantum uncertainty), and quantum coherence (measured by correlated coherence) within the two-superconducting charge qubit capacitively coupled. Our analysis takes into account the interplay between the equilibrium temperature of the reservoir and various system parameters. Our findings demonstrate that an increase in temperature leads to a decrease in coherence and quantum correlations within the considered system. However, the behavior of these quantum resources is heavily dependent on the system parameters, and a careful selection of these parameters can help mitigate the negative effects of absolute temperature. Additionally, we observe that local quantum uncertainty and correlated coherence are more resilient than thermal entanglement to rising temperatures. These results provide insight into how a two-superconducting charge qubit system can be optimized for achieving quantum advantages.

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“…LQU measures the minimum quantum uncertainty present in a nonclassical state when calculating a specific local observable. Interestingly, LQU is readily measured for all two-party systems and has been widely analyzed and employed in numerous papers [32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Quantum interferometric power versus quantum correlations in a graphene layer system with a scattering process under thermal noise

Bouafia,

Mansour

2023

Laser Phys. Lett.

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Cutting-edge quantum processing technology is currently exploring the remarkable electronic properties of graphene layers, such as their high mobility and thermal conductivity. Our research is dedicated to investigating the behavior of quantum resources within a graphene layer system with a scattering process, specifically focusing on quantum interferometric power (QIP) and quantum correlations, while taking into account the influence of thermal noise. To quantify these correlations, we employ measures like local quantum uncertainty (LQU) and logarithmic negativity (LN). We examine how factors like temperature, inter-valley scattering processes strength, and other system parameters affect both QIP and quantum correlations. Our results reveal that higher temperatures lead to a reduction in QIP and non-classical correlations within graphene layers. Moreover, it is noteworthy that QIP and LQU respond similarly to changes in temperature, whereas LN is more sensitive to these variations. By optimizing system parameters such as band parameter, wavenumber operators and scattering processes strength, we can mitigate the impact of thermal noise and enhance the quantum advantages of graphene-based quantum processing

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Thermal quantum correlations in a two-qubit Heisenberg model under Calogero–Moser and Dzyaloshinsky–Moriya interactions

Cited by 21 publications

References 65 publications

Quantum correlations and coherence in a mixed spin- (12,1) Heisenberg dimer under intrinsic decoherence

Quantum correlations and coherence in a mixed spin- (12,1) Heisenberg dimer under intrinsic decoherence

Quantum correlations and thermal coherence in a two-superconducting charge qubit system

Quantum interferometric power versus quantum correlations in a graphene layer system with a scattering process under thermal noise

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