Dynamics of local quantum uncertainty for a two-qubit system under dephasing noise

Yang, Cheng; Guo, You-neng; Peng, Hu-Ping; Lv, Yibing

doi:10.1088/1555-6611/ab54be

Cited by 15 publications

(9 citation statements)

References 50 publications

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“…When γ → ∞ , that is θ 0 → 0, the Schr ö dinger equation is obtained for zeroth order in γ −1 . The first-order(or higher-order) correction in equation (18) leads to a diagonalization of the density operator in the energy eigenstate basis. Therefore, one can find the first-order (or higher-order) correction leads to a decay of coherence in the energy eigenstate basis.…”

Section: Discussionmentioning

confidence: 99%

“…Theory suggests that the LQU as a reliable quantifier of quantum correlations in bipartite quantum systems satisfies all the physical requirements of a measure of quantum correlations [10]. Due to the importance of the LQU as a fundamental concept, there are a large list of references dedicated to the dynamics of quantum correlations described by LQU in various bipartite or multiple systems subject to different environments [11][12][13][14][15][16][17][18][19][20]. At the same time, there also exists another important subject on LQU to explore various applications as well as its relationship with quantum metrology where the LQU provides a guaranteed upper bound to the variance of estimator in parameter estimation protocol [21,22].…”

Section: Introductionmentioning

confidence: 99%

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Local quantum uncertainty in a two-qubit Heisenberg spin chain with intrinsic decoherence

Guo¹,

Peng²,

Tian³

et al. 2021

Phys. Scr.

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Quantum correlation plays an important role in quantum information processing, for which various quantifiers have been proposed so far. In this paper, we address the dynamics of local quantum uncertainty (LQU) as a reliable quantifier of quantum correlation in a two-qubit Heisenberg spin chain in the presence of nonuniform external magnetic field and Dzyaloshinski-Moriya interaction with intrinsic decoherence. The influences of the initial states, external magnetic field strength, Dzyaloshinski-Moriya interaction strength and intrinsic decoherence rate on the dynamics of LQU have been in detail investigated. Our analytical results show that the dynamics of LQU is strongly depended on the form of initial states. For an initial correlated state, the dynamical behaviors of LQU exhibit either monotonic decay or damped oscillations with respect to time. While for an initial separable state, quantum correlation quantified by LQU can be created due to the Dzyaloshinski-Moriya interaction and Heisenberg anisotropic interaction. Besides, the relationship between LQU and l-norm coherence or concurrence is also demonstrated in the present model.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Local quantum uncertainty in a two-qubit Heisenberg spin chain with intrinsic decoherence

Guo¹,

Peng²,

Tian³

et al. 2021

Phys. Scr.

Self Cite

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show abstract

“…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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Dynamics of local quantum uncertainty for a two-qubit system under dephasing noise

Cited by 15 publications

References 50 publications

Local quantum uncertainty in a two-qubit Heisenberg spin chain with intrinsic decoherence

Local quantum uncertainty in a two-qubit Heisenberg spin chain with 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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