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Quantum Information Processing

Long-time preservation of correlations through the interactions among cavities as engineered environments

K. Berrada, Hichem Eleuch

Published Jul 10, 2025• 0 citations
Publisher

Abstract

Abstract In this present manuscript, we explore the possibility to preserve and manipulate of classical and quantum correlations initially present in a system of qubits, where each qubit is immersed in a cavity that is interacted with another cavity as an engineered environment. We consider the qubit entropy, entanglement of formation, quantum discord, and classical correlation for Markovian and non-Markovian regimes. We find that the correlations can be maintained and enhanced during the dynamics, which is a useful dynamical feature, by adjusting the strength coupling constant between cavities for weak- and strong- coupling regime (W- and S-CR). In particular, we have found that, for the case of perfect cavities, high values of correlations can be achieved during the evolution with respect to the strength coupling between cavities. The obtained results can provide more hints for future studies on the control of correlations with optimal conditions. By a specific selection of the model parameters, long-time preservation of correlations can be achieved without being affected by the decoherence.

DOI
10.1007/s11128-025-04822-6

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Abstract In this present manuscript, we explore the possibility to preserve and manipulate of classical and quantum correlations initially present in a system of qubits, where each qubit is immersed in a cavity that is interacted with another cavity as an engineered environment. We consider the qubit entropy, entanglement of formation, quantum discord, and classical correlation for Markovian and non-Markovian regimes. We find that the correlations can be maintained and enhanced during the dynamics, which is a useful dynamical feature, by adjusting the strength coupling constant between cavities for weak- and strong- coupling regime (W- and S-CR). In particular, we have found that, for the case of perfect cavities, high values of correlations can be achieved during the evolution with respect to the strength coupling between cavities. The obtained results can provide more hints for future studies on the control of correlations with optimal conditions. By a specific selection of the model parameters, long-time preservation of correlations can be achieved without being affected by the decoherence.
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Abstract Efficient entanglement preservation in open quantum systems is a crucial scope towards a reliable exploitation of quantum resources. We address this issue by studying how two-qubit entanglement dynamically behaves when two atom qubits move inside two separated identical cavities. The moving qubits independently interact with their respective cavity. As a main general result, we find that under resonant qubit-cavity interaction the initial entanglement between two moving qubits remains closer to its initial value as time passes compared to the case of stationary qubits. In particular, we show that the initial entanglement can be strongly protected from decay by suitably adjusting the velocities of the qubits according to the non-Markovian features of the cavities. Our results supply a further way of preserving quantum correlations against noise with a natural implementation in cavity-QED scenarios and are straightforwardly extendable to many qubits for scalability.
We investigate qubit entanglement dynamics in a two-qubit cavity system with stochastically fluctuating coupling strength, comparing white noise (Markovian) and Ornstein-Uhlenbeck noise (non-Markovian) processes. We analytically solve the system dynamics for both Fock and coherent cavity states and systematically characterize how initial qubit configurations affect entanglement generation and preservation. Our results reveal distinct dynamical regimes: in the Fock-state cavity, initial states in the single-excitation subspace generate robust qubit entanglement in decoherence-free subspaces, while initially entangled states in the double-excitation subspace exhibit inevitable decay without protective symmetries. For coherent cavities, we identify a critical photon-number threshold in the intermediate coherent-state amplitude regime where dynamics transition from low-frequency to high-frequency entanglement oscillations, while universal entanglement loss occurs at large amplitudes. Remarkable resilience against entanglement sudden death emerges under strong non-Markovian noise with long correlation times, where repeated revivals occur. These findings establish cavity photon statistics and environmental memory time as key control parameters for engineering qubit entanglement dynamics in qubit-cavity systems, revealing how system-environment correlations govern quantum information preservation.
Quantum technology relies on the utilization of resources, like quantum coherence and entanglement, which allow quantum information and computation processing. This achievement is however jeopardized by the detrimental effects of the environment surrounding any quantum system, so that finding strategies to protect quantum resources is essential. Non-Markovian and structured environments are useful tools to this aim. Here we show how a simple environmental architecture made of two coupled lossy cavities enables a switch between Markovian and non-Markovian regimes for the dynamics of a qubit embedded in one of the cavity. Furthermore, qubit coherence can be indefinitely preserved if the cavity without qubit is perfect. We then focus on entanglement control of two independent qubits locally subject to such an engineered environment and discuss its feasibility in the framework of circuit quantum electrodynamics. With up-to-date experimental parameters, we show that our architecture allows entanglement lifetimes orders of magnitude longer than the spontaneous lifetime without local cavity couplings. This cavity-based architecture is straightforwardly extendable to many qubits for scalability.
Abstract We investigate the time evolution of quantum correlations of a hybrid qubit-qutrit system under the classical Ornstein-Uhlenbeck (OU) noise. Here we consider two different one-parameter families of qubit-qutrit states which independently interact with the non-Markovian reservoirs. A comparison with the Markovian dynamics reveals that for the same set of initial condition parameters, the non-Markovian behavior of the environment plays an important role in the enhancement of the survival time of quantum correlations. In addition, it is observed that the non-Markovian strength ( γ / Γ ) has a positive impact on the correlations time. For the initial separable states it is found that there is a finite time interval in which the geometric quantum discord is frozen despite the presence of a noisy environment and that interval can be further prolonged by using the non-Markovian property. Moreover, its decay can be significantly delayed .
Dynamics of an open two-qubit system is investigated in the post-Markovian regime, where the environments have a short-term memory. Each qubit is coupled to separate environment which is held in its own temperature. The inter-qubit interaction is modeled by XY-Heisenberg model in the presence of spin-orbit interaction and inhomogeneous magnetic field. The dynamical behavior of entanglement and discord has been considered. The results show that, quantum discord is more robust than quantum entanglement, during the evolution. Also the asymmetric feature of quantum discord can be monitored by introducing the asymmetries due to inhomogeneity of magnetic field and temperature difference between the reservoirs. By employing proper parameters of the model, it is possible to maintain non-vanishing quantum correlation at high degree of temperature. The results can provide a useful recipe for studying of dynamical behavior of two-qubit systems such as trapped spin-electrons in coupled quantum dots.