The Dynamics of Three Different Entropic Measures of Quantum Correlations in Mixed Bipartite State Coupled with Classical Environments

Shamirzaie, M.; Khan, Salman

doi:10.1142/s0219477518500232

Cited by 9 publications

(6 citation statements)

References 46 publications

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“…Finally, by deploying purity and von Neumann entropy, the amount of pureness, coherence and information preserved by the single qutrit system have been computed. Our findings show that classical random fields are good resources for the dynamics of quantum correlations, coherence, and information, and they can be related to prior findings in [28,36,37,42,43]. By contrasting Figs.…”

Section: Discussionsupporting

confidence: 80%

“…There was no evidence of ESD or ESB, and both noisy parameters showed a monotonic reduction. As a result, there is no way for information from the environment to flow back into the system, contradicting the findings of [19,24,28,42,43]. Because of this noise, purity, coherence and information are permanently lost rather than experiencing periodic transitory deterioration.…”

Section: Classical Field With Pl Nmentioning

confidence: 94%

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Decoherence Effects in a Three-Level System under Gaussian Process

Zangi,

Rahman,

et al. 2021

Preprint

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We investigate the information and coherence protection in a three-level quantum system when subjected to a classical fluctuating field described by a Gaussian process. This random field is further investigated in both noiseless and noisy regimes. The noisy regimes include fractional Gaussian, Gaussian, Ornstein Uhlenbeck, and power-law noise. We find that the Ornstein Uhlenbeck noise has a reduced destructive nature toward coherence and information initially encoded in the three-level system. Based on our findings, the proper fixing of the noisy parameters to certain provided values can contribute to optimal extended coherence and information survival. In the single qutrit system, because of all Gaussian noises, monotonic decay with no revivals has been observed. Using purity and von-Neumann entropy, we discovered that a single qutrit system outperforms systems with multiple qubits or qutrits in terms of coherence and information preservation. The fluctuating nature of the local random fields is completely lost, as evidenced by a comparison of noisy and noiseless situations. We found this entirely dependent upon the Gaussian and Markovian properties of the included noises.

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Section: Discussionsupporting

confidence: 80%

Section: Classical Field With Pl Nmentioning

confidence: 94%

Decoherence Effects in a Three-Level System under Gaussian Process

Zangi,

Rahman,

et al. 2021

Preprint

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“…Additionally, multiple features of these environments such as degrading capacity, memory properties, revivals of the entanglement, and short and long-lived correlations conditions have also been investigated [4,6,17,23]. In addition, noises emerging from the coupling of quantum systems with classical environments have remained a focus of research in recent years [24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Effects of classical fluctuating environments on decoherence and bipartite quantum correlation dynamics

et al. 2021

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We address the time evolution of quantum correlations (QCs) such as entanglement, purity, and coherence for a model of two non-interacting qubits initially prepared as a maximally entangled bipartite state. We contrast the comparative potential of the classical fields to preserve these QCs in the noisy and noiseless realms. We also disclose the characteristic dynamical behavior of the QCs of the two-qubit state under the static noise effects originating from the common and different configuration models. We show that there is a direct connection between the fluctuations allowed by an environment and the preservation of QCs. Due to the static noise dephasing effects, the QCs are suppressed, resulting in the separability of the two-qubit entangled state after a finite duration. For bipartite QCs preservation, we show that the common configuration is more resourceful than the different configuration. Furthermore, this protection of the QCs under static noise for large intervals is entirely attributable to the existence of the entanglement sudden death and birth phenomenon. Most importantly, we found the bipartite QCs less fragile than the tripartite ones in comparison under the static noise. In addition, we find the concurrence measure to show more evident revivals of entanglement in comparison.

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“…Besides this, multiple features of these environments such as degrading capacity, memory properties, revivals of the entanglement, and short and long-lived correlations conditions have also been investigated [4,6,17,23]. Besides, different types of noises arising from the coupling of quantum systems with classical environments were also remained active part of the previous studies [24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Effects of classical fluctuating environments on decoherence and bipartite quantum correlations dynamics

Rahman,

Javed,

Noman

et al. 2021

Preprint

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We address the time evolution of the quantum correlations (QCs) such as entanglement, purity, and coherence for a model of two non-interacting qubits initially prepared as a maximally entangled bipartite state. We contrast the comparative potential of the classical fields to preserve these QCs in the noisy and noiseless realms. We also disclose the characteristic dynamical behavior of the QCs of the two-qubit state under the static noisy effects originating from the common and different configuration models. We show that there is a direct connection between the fluctuations allowed by an environment and the QCs preservation. Due to the static noisy dephasing effects, the QCs are suppressed, resulting in the separability of the two-qubit entangled state after a finite duration. Here, the QCs decay effects are found much smaller in the common configuration model than that of the opponent. Furthermore, this protection of the QCs under static noise for large intervals is entirely attributable to the existence of the entanglement sudden death and birth phenomenon. Most importantly, we found the bipartite QCs less fragile than the tripartite ones in comparison under the static noise. In the case of the measures, the concurrence is found to be sharper for showing the entanglement sudden death and birth revivals in comparison to the purity and decoherence.

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The Dynamics of Three Different Entropic Measures of Quantum Correlations in Mixed Bipartite State Coupled with Classical Environments

Cited by 9 publications

References 46 publications

Decoherence Effects in a Three-Level System under Gaussian Process

Decoherence Effects in a Three-Level System under Gaussian Process

Effects of classical fluctuating environments on decoherence and bipartite quantum correlation dynamics

Effects of classical fluctuating environments on decoherence and bipartite quantum correlations dynamics

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