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Journal of King Saud University - Science

Influence of dipole interaction on the quantum correlation detection and teleportation in a qubit-field system

Hanaa Abu-Zinadah, Eied Mahmoud Khalil

Published May 27, 2024• 1 citation
Publisher

Abstract

This study examines the analysis of the teleportation process in a two-qubit state, particularly scrutinizing the interplay of atomic dipole coupling interaction, the detuning parameter, photon count, and the surrounding environment. Our investigation assumes the existence of a teleportation channel comprising two-qubit systems interacting with a photon field enveloped by the dephasing environment. Within this framework, we closely examine the quantum correlations exhibited by the teleported state, encompassing dimensions of entanglement, steering, and non-locality. Our results underscore the pivotal role played by the initial state of the atomic and field subsystems in shaping quantum relations. The dipole coupling has a profound impact, significantly enhancing the three quantifiers. Particularly, the entanglement changes from a de-entangled state to a partially entangled state. On the other hand, the detuning parameter introduces distortion in the quantum correlations, a phenomenon that can be effectively mitigated by controlling the dipole coupling.

DOI
10.1016/j.jksus.2024.103271

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This study examines the analysis of the teleportation process in a two-qubit state, particularly scrutinizing the interplay of atomic dipole coupling interaction, the detuning parameter, photon count, and the surrounding environment. Our investigation assumes the existence of a teleportation channel comprising two-qubit systems interacting with a photon field enveloped by the dephasing environment. Within this framework, we closely examine the quantum correlations exhibited by the teleported state, encompassing dimensions of entanglement, steering, and non-locality. Our results underscore the pivotal role played by the initial state of the atomic and field subsystems in shaping quantum relations. The dipole coupling has a profound impact, significantly enhancing the three quantifiers. Particularly, the entanglement changes from a de-entangled state to a partially entangled state. On the other hand, the detuning parameter introduces distortion in the quantum correlations, a phenomenon that can be effectively mitigated by controlling the dipole coupling.
Abstract The possibility of generating of some quantum correlations of entangled or separable initial two-qubit system interacts with a deformed cavity mode on the presence of dipole-dipole interaction is discussed. These quantum correlations are the coherence, non-separability, and steering degrees, which are quantifiers by using l1 norm of coherence, Entanglement of Formation (EoF), and Einstein-Podolsky-Rosen (EPR)-steering. It is shown that, maximizing or minimizing the quantum correlations depend on the initial settings states of the two-qubit system. To maximize the quantum correlations on the presences of deformation, one has to prepare the initial two-qubit system in an entangled state, setting large values of the coupling dipole and decreasing the effect of deformation parameter.
Abstract The possibility of generating of some quantum correlations of the entangled or separable initial two-qubit system interacting with a deformed cavity mode in the presence of dipole-dipole interaction is discussed. These quantum correlations are the coherence, non-separability and steering degrees which are quantifiers by using l1 l_1 l1​ l 1 norm of coherence, Entanglement of Formation and Einstein–Podolsky–Rosen -steering. It is shown that maximizing or minimizing the quantum correlations depends on the initial setting states of the two-qubit system. To maximize the quantum correlations on the presence of deformation, one has to prepare the initial two-qubit system in an entangled state, setting large values of the coupling dipole and decreasing the effect of the deformation parameter.
We investigate the dynamics of non-classical correlations and quantum coherence in open quantum systems by employing metrics like local quantum Fisher information, local quantum uncertainty, and quantum Jensen-Shannon divergence. Our focus here is on a system of two qubits in two distinct physical situations: the first one when the two qubits are coupled to a cavity field whether the system is closed or open, while the second consists of two qubits immersed in dephasing reservoirs. Our study places significant emphasis on how the evolution of these quantum criterion is influenced by the initial state's purity (whether pure or mixed) and the nature of the environment (whether Markovian or non-Markovian). We observe that a decrease in the initial state's purity corresponds to a reduction in both quantum correlations and quantum coherence, whereas higher purity enhances these quantumness. Furthermore, we establish a quantum teleportation strategy based on the two different physical scenarios. In this approach, the resulting state of the two qubits functions as a quantum channel integrated into a quantum teleportation protocol. We also analyze how the purity of the initial state and the Markovian or non-Markovian regimes impact the quantum teleportation process.
We study the entanglement dynamics of a pair of non-identical interacting atoms (qubits) coupled off-resonance to a single-mode cavity radiation field and exposed to dephasing environments. The qubits are studied starting from various initial states that are disentangled from an initially coherent field. The system models the basic building units of quantum information processing (QIP) platforms under the realistic considerations of asymmetry and external environmental influences. We investigate how introducing a radiation field alters the system's entanglement dynamics in the presence of dephasing environments, and how it impacts the effects of the dephasing environments themselves. The work examines the problem under various settings of inter-qubit interactions, which are now experimentally controllable in some of the newly engineered artificial qubit systems. We illustrate that only upon introducing the radiation field, the system suffers a terminal disentanglement (followed by no revivals) in a finite time. This behavior is exacerbated when the atoms' interaction with the field is stronger. Moreover, the effects of the field's intensity and the atoms' detunings are vastly sensitive to the choice of the initial state. We also demonstrate that the closer the atoms' transition frequencies are to resonance with the field, the more pronounced are the effects of strengthening the independent dephasing environments corresponding to some initial states. Those states also suffered a greater reduction in entanglement content when the qubits with stronger atom-field interaction strength were influenced by a stronger independent dephasing environment. In addition, we examined the ability of the correlated dephasing environment to induce a noise-enhanced efficiency in the presence of an external radiation field. We showed that the radiation field could play a decisive role in enabling or restricting noise-enhanced efficiency, but one that is also highly sensitive to the system's initial state.
We explore two coupled dipole qubits interacting with two-mode cavity fields through non-degenerate two-photon processes and under the influence of intrinsic noise. Our investigation is based on the influence of the coupling constants between different constituents of the system on the quantum coherence and entropy squeezing. We investigate the phase space information, entanglement, and purity via the Husimi function. It is found that the robustness of the positivity and the negativity of the superposition of generalized coherent state is highly sensitive to the coupling constants. The phase space quantum information, the matter-light entanglement, and the stationary mixture state can be controlled by the two-qubit coupling as well as the coupling to the environment. The effect of the intrinsic dissipation and the two-qubit coupling on the generated squeezing via the qubit-system variable squeezing or the entropy squeezing is investigated. They lead to revoke the squeezing phenomenon.
We address the dynamics of quantum coherence, quantum correlations, quantum steering and Bell nonlocality in a model of two interacting qubits, initially prepared in a thermal state. The two qubit are coupled via a dipolar interaction and exposed to Dzyaloshinskii–Moriya (DM) interaction and classical fluctuating fields influenced by Ornstein–Uhlenbeck (OU)-Static (ST) mixed noise in common environments. We analyse the dynamics effects on quantum resources, as Bell nonlocality, quantum steering, quantum entanglement, quantum discord and quantum coherence. We find that the dynamics of quantum correlations are not only strongly affected by the type of system-environment coupling but also by the kind of the considered noise. The entanglement diminution is over time, accompanied by damped oscillations, indicative of coherent dynamics. The DM interaction induces a decrease in quantum coherence and correlations with increasing values, leading to complete maximizing at critical thresholds. The effects of thermal effects destroy the quantum correlation. The variations in state noise disorder parameters reveal enhanced preservation and reduced oscillations as the noise disorder parameter decreases, emphasizing its crucial role in shaping quantum correlations.