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International Conference on Circuit, Systems and Communication (ICCSC)

Thermal Entanglement and Coherence in a Two-Superconducting Charge Qubits

Chaimae Banouni, Abdessamie Chhieb, Mostafa Mansour, M. Ouchrif

Published Jun 19, 2025• 0 citations
Publisher

Abstract

This study investigates the progression of thermal entanglement and quantum coherence in a system composed of two superconducting charge qubits connected through a fixed capacitor. Superconducting materials play a central role in modern quantum technologies due to their ability to sustain coherent states over long timescales, making them an ideal platform for quantum information processing. We employ metrics such as logarithmic negativity and relative entropy of coherence to precisely evaluate these quantum resources. In particular, we analyze how thermal noise affects entanglement and quantum coherence in this capacitively coupled system. A central aspect of this work is the interaction between the reservoir's temperature at equilibrium and various intrinsic parameters of the system. The results show that increasing temperature leads to a gradual degradation of entanglement and coherence. However, these quantum resources are highly sensitive to system variables, and careful tuning of these variables can reduce the harmful impact of absolute temperature. These findings offer promising perspectives for optimizing two-qubit superconducting charge systems, with the aim of enhancing their robustness and fully exploiting the advantages offered by quantum technologies.

DOI
10.1109/iccsc66714.2025.11135220

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This study investigates the progression of thermal entanglement and quantum coherence in a system composed of two superconducting charge qubits connected through a fixed capacitor. Superconducting materials play a central role in modern quantum technologies due to their ability to sustain coherent states over long timescales, making them an ideal platform for quantum information processing. We employ metrics such as logarithmic negativity and relative entropy of coherence to precisely evaluate these quantum resources. In particular, we analyze how thermal noise affects entanglement and quantum coherence in this capacitively coupled system. A central aspect of this work is the interaction between the reservoir's temperature at equilibrium and various intrinsic parameters of the system. The results show that increasing temperature leads to a gradual degradation of entanglement and coherence. However, these quantum resources are highly sensitive to system variables, and careful tuning of these variables can reduce the harmful impact of absolute temperature. These findings offer promising perspectives for optimizing two-qubit superconducting charge systems, with the aim of enhancing their robustness and fully exploiting the advantages offered by quantum technologies.
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.
Abstract This study explores the dynamics of a two-qubit superconducting charge system, a prevalent technology in quantum computing. We utilize logarithmic negativity and local quantum Fisher information to gauge the entanglement and correlations within this system. Our findings indicate a significant influence of temperature on the system, leading to a reduction in both measures. However, adjusting system parameters can enhance these quantum quantifiers. Furthermore, we note that the local quantum Fisher information exhibits greater resilience to temperature-induced degradation compared to logarithmic negativity.
This study investigates the emergency effects of coupling two superconducting-charge-qubits on thermal equilibrium nonlocality behaviors, including Bell inequality violation (BIV) nonlocality and uncertainty-induced (UI) quantum nonlocality beyond logarithmic negativity entanglement (LN entanglement). Thermal entangled two superconducting-charge-qubits states can exhibit UI-quantum nonlocality without BIV nonlocality, highlighting the hierarchical relationship between these resources. Increasing Josephson-qubit energies enhances resistance to degradation at high temperatures. Large differences in Josephson-qubit energies amplify the degradation temperature for nonlocalities. Coupling of the two qubits improves robustness, preservation, and thermal interval of maximal and partial nonlocalities. The temperatures for sudden death of entanglement depend on Josephson qubit energies, their difference, and mutual coupling. Finally, we explore the symmetrical dependence of thermal two superconducting-qubit nonlocality on Josephson-qubit energies and mutual qubit coupling.
Abstract In this work, the thermal quantum correlations in two coupled double semiconductor charge qubits are investigated. This is carried out by deriving analytical expressions for both the thermal concurrence and the correlated coherence. The effects of the tunneling parameters, the Coulomb interaction, and the temperature on the thermal entanglement and on the correlated coherence are studied in detail. It is found that the Coulomb potential plays an important role in the thermal entanglement and in the correlated coherence of the system. The results also indicate that the Coulomb potential can be used for significant enhancement of the thermal entanglement and quantum coherence. One interesting aspect is that the correlated coherence capture all the thermal entanglement at low temperatures, that is, the local coherences are totally transferred to the thermal entanglement. Finally, the role played by thermal entanglement and the correlated coherence responsible for quantum correlations are focused on. It is shown that in all cases, the correlated coherence is more robust than the thermal entanglement so that quantum algorithms based only on correlated coherence may be more robust than those based on entanglement.
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This study examines the influence of temperature and Josephson energy on the quantum properties of superconducting qubits, specifically Bell non-locality and quantum coherence. Our results demonstrate that increasing temperature induces a degradation of both of these essential properties for quantum computing. In contrast, Josephson energy is revealed to be an adjustable parameter allowing for the modulation of non-locality and coherence. However, we observe a trade-off in the simultaneous optimization of these two quantum resources via Josephson energy. This study underscores the crucial importance of thermal control and precise engineering of qubit parameters for the development of high-performance and robust superconducting quantum technologies.