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Alexandria Engineering Journal

Dynamics of nonlocal correlation of two superconducting charge qubits induced by intrinsic decoherence

Fahad Aljuaydi, Nour Zidan, A.‐B. A. Mohamed

Published Jul 23, 2024• 2 citations
Publisher

Abstract

The generated nonlocal correlations of two superconducting-charge (SCC) qubits including uncertainty-induced nonlocality (UIN), Bell-Horodecki nonlocality, and negativity’s entanglement have been explored by intrinsic decoherence model. An initial separable two SCC-qubits state to study the generation of nonlocal correlations. By adjusting the intrinsic decoherence intensity and the two superconducting-qubits interaction parameters (of Josephson energies, the mutual two SCC-qubits coupling energy, and the difference between the Josephson SCC-qubit energies), we can control the produced maximum Bell-Horodecki nonlocality, UIN, and entanglement, which their dynamics align with the hierarchy principle. It is found that the generations of two-qubit states, having Bell-Horodecki nonlocality, UIN, and negativity entanglement, by the interactions of two SCC-qubits depend on their interaction parameters and intrinsic decoherence. For weak mutual two SCC-qubits coupling energy and the Josephson SCC-qubit energies with a slight difference between the Josephson SCC-qubit energies, the generated two SCC-qubit state has strong nonlocal correlation dynamics. The mutual coupling energy for two SCC-qubits can enhance the generation of weak nonlocal correlation dynamics when there is a significant difference between the Josephson SCC-qubit energies. Controlling Josephson energy, mutual coupling, and the energy difference of SCC-qubits can improve nonlocal correlations’ robustness against intrinsic decoherence.

DOI
10.1016/j.aej.2024.07.050

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The generated nonlocal correlations of two superconducting-charge (SCC) qubits including uncertainty-induced nonlocality (UIN), Bell-Horodecki nonlocality, and negativity’s entanglement have been explored by intrinsic decoherence model. An initial separable two SCC-qubits state to study the generation of nonlocal correlations. By adjusting the intrinsic decoherence intensity and the two superconducting-qubits interaction parameters (of Josephson energies, the mutual two SCC-qubits coupling energy, and the difference between the Josephson SCC-qubit energies), we can control the produced maximum Bell-Horodecki nonlocality, UIN, and entanglement, which their dynamics align with the hierarchy principle. It is found that the generations of two-qubit states, having Bell-Horodecki nonlocality, UIN, and negativity entanglement, by the interactions of two SCC-qubits depend on their interaction parameters and intrinsic decoherence. For weak mutual two SCC-qubits coupling energy and the Josephson SCC-qubit energies with a slight difference between the Josephson SCC-qubit energies, the generated two SCC-qubit state has strong nonlocal correlation dynamics. The mutual coupling energy for two SCC-qubits can enhance the generation of weak nonlocal correlation dynamics when there is a significant difference between the Josephson SCC-qubit energies. Controlling Josephson energy, mutual coupling, and the energy difference of SCC-qubits can improve nonlocal correlations’ robustness against intrinsic decoherence.
In this paper, we explore nonlocal correlation and Bell non-locality in a two-qubit Heisenberg XYZ model by using Bell-CHSH inequality and uncertainty induced nonlocality (UIN) as well as log-negativity. We consider the effects of spin-qubits XYZ-Heisenberg couplings, the y-component of DM interaction, and intrinsic decoherence. Our results show that spin-qubits Heisenberg couplings have a strong ability to create two-qubit nonlocal correlations, enhanced by combining with DM interactions. The generated Bell-CHSH nonlocality and entanglement conform to the hierarchy principle. The UIN correlation is more resistant to intrinsic decoherence compared to Bell-CHSH inequality and log-negativity. Intrinsic decoherence causes the disappearance of Bell-CHSH non-locality and log-negativity entanglement, while leading to the appearance of partial stationary spin-qubits UIN correlation.
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.
This paper explores the dynamics of two spatially separated superconducting flux qubits, initially in a maximally correlated state, without mutual interaction. The system is modeled using the master intrinsic decoherence equation with the flux-qubits-resonator interaction Hamiltonian. The effects of initial state, detuning, and decoherence on the generated oscillatory correlation dynamics and the sudden death-birth phenomenon of the two flux-qubits entanglement are examined. The results demonstrate that qubit-resonator-qubit interactions have a high ability to generate quantum interferometric power and local quantum uncertainty correlations beyond that of concurrence entanglement.
This work explores the generation and robustness dynamics of coupled double quantum dots using uncertainty-induced (UI) nonlocality, maximum Bell-CHSH inequality, and log-negativity with intrinsic-decoherence. This study examines the generation of Bell-CHSH nonlocality, UI-nonlocality, and log-negativity entanglement using a separable two-double-quantum-dots state. Enhancing these features is achieved by tuning intrinsic decoherence and dot interaction strengths, highlighting their potential for creating robust quantum correlations. The two-double-quantum-dots correlated states can be produced and enhanced by increasing the pair-dots tunneling couplings and Coulomb-two-electrons interactions. The decoherence effect acceleration depends on Coulomb-two-electrons interactions and the pair-dots tunneling coupling. For a maximally entangled state, the robustness dynamics of the initial maximal Bell-CHSH-nonlocality, UI-nonlocality, and log-negativity’s entanglement, is explored against the two-double-quantum-dots interactions and the decoherence effects.
Abstract This paper investigates the dynamics of two-spin nonlocality generation in a Heisenberg XXX chain with Dzyaloshinskii-Moriya (DM) and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interactions. We analyze the two-spin nonlocality dynamics by using uncertainty-induced nonlocal-ity, maximal Bell inequality, and log-negativity. We demonstrate that a separable two-spin Heisen-berg XXX chain state, induced by two-spin antiferromagnetic interaction as well as x-component of DM and KSEA interactions, could evolve to maximal two-spin nonlocality state. The ability of preserving the maximal uncertainty-induced nonlocality can be enhanced by increasing the coupling strength of the spin-spin interaction coupling. The hierarchy principle is maintained for the two-spin Bell nonlocality and log-negativity entanglement. The two-spin log-negativity dynamics exhibits the phenomenon of sudden death and birth as a result of the intrinsic decoherence, which also causes a reduction in the two-spin nonlocalities. The two-spin uncertainty-induced nonlocality is more robust , against the intrinsic decoherence, than the other types of the nonlocality. The results indicate that by boosting the two-spin antiferromagnetic interaction, the produced nonlocalities (resulting from the DM and KSEA x-component interactions) can be shielded from the intrinsic decoherence effect.
The influence of intrinsic decoherence on various correlations and dense coding in a model which consists of two identical superconducting charge qubits coupled by a fixed capacitor is investigated. The results show that, despite the intrinsic decoherence, the correlations as well as the dense coding channel capacity can be effectively increased via the combination of system parameters, i.e., the mutual coupling energy between the two charge qubits is larger than the Josephson energy of the qubit. The bigger the difference between them is, the better the effect is.