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Laser Physics Letters

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

Zakaria Bouafia, Mostafa Mansour

Published Nov 15, 2023• 13 citations
Publisher

Abstract

Abstract 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

DOI
10.1088/1612-202x/ad069f

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Abstract This study explores the dynamic evolution of non-classical correlations and coherence within a two-dimensional graphene layer, examining its vulnerability to intrinsic decoherence. We use local quantum uncertainty (LQU) to quantify the level of quantum correlations, while assessing quantum coherence using the l1l_1l1​ l 1 -norm ( Cl1C_{l_1}Cl1​​ C l 1 ) and relative entropy of coherence ( CrC_rCr​ C r ). We investigate how these quantum estimators respond to various parameters of the graphene system, including wavenumber operators, the initial-state mixing parameter, and intrinsic decoherence factor. Our results demonstrate that adjusting the wavenumber operators, increasing the purity parameter, and reducing the intrinsic decoherence rate can enhance both quantum coherence and correlations in the graphene layer system. Furthermore, we observe that Cl1C_{l_1}Cl1​​ C l 1 and CrC_{r}Cr​ C r exhibit greater resilience to intrinsic decoherence compared to LQU.
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Abstract 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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This research delves into the influence of intrinsic decoherence on the behavior of quantum correlations and coherence between two interacting qubits in a graphene-based system. To evaluate the amount of nonclassical correlations in the system, we employ local quantum uncertainty (LQU), and to assess quantum coherence we use the relative entropy of coherence [Formula: see text] and [Formula: see text]-norm [Formula: see text]. We assume that the system is initially prepared in an extended-Werner-like (EWL) state, and we investigate how these quantifiers evolve over time and examine their sensitivity to various graphene layer system parameters, mixture parameter of the initial state and the intrinsic decoherence rate. Our results indicate that by adjusting the wave number operators, decreasing the intrinsic decoherence rate, and increasing the initial state mixing parameter, it is possible to enhance both quantum correlations and coherence within the two-dimensional honeycomb lattice system. In addition, we found that quantum coherence is more resilient to intrinsic decoherence than LQU, moreover, the [Formula: see text]-norm is more robust than the relative entropy of coherence.
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