Dynamics of quantum correlations for different types of noisy channels
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Dynamics of quantum correlations for different types of noisy channels Sodeif Ahadpour1 · Forouzan Mirmasoudi1 Received: 1 November 2019 / Accepted: 6 July 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract The effect of noise channels (amplitude damping, phase damping, depolarizing and phase flip) on the behaviors of quantum correlations such as quantum discord (QD), super quantum discord (SQD) within an atom-field interaction with environments are investigated. Generation and preservation of the quantum entanglement between the qubit and field have played an important role for both fundamental quantum theories and experiments. This topic motivates us to explore the role of noise channels on quantum correlations in the Jaynes–Cummings model. Our analytical results show that the entanglement and quantum correlation dynamics is strongly related to the decoherenc strength and type of noisy channel. One purpose of this work is to answer the following question: is it possible the effects of noise channels on entangled states lead to birth of entanglement and quantum correlations or do they just have a destructive effects? We show that, the noise of all above channels do not lead to a sudden vanishing of quantum correlations. But the noise of phase flip channel reproduces initial quantum correlations. Furthermore, we find that entanglement and QD are more fragile to environmental noises than the SQD. For this reason, it seems that our results can be beneficial to deeply understanding the weak measurement and quantum correlation in quantum information resource. Keywords Quantum correlations · Noisy channels · Jaynes–Cummings model · Weak measurement
1 Introduction In a realistic scenario, the effect of noise on the quantum correlations in any system is unavoidably present. It is an inevitable phenomenon due to realistic systems interacting with their surrounding environments, which lead to decay of coherence of quantum systems as well as quantum correlations and entanglment (Maziero et al. 2009). By considering these facts, the effects of several quantum operations on a qubit, the depolarizing, phase-damping (or phase-flip) and amplitude-damping channels have been studied on different quantum information processing protocols and quantum correlations. Hence, studying the effect * Sodeif Ahadpour [email protected] 1
Department of Physics, University of Mohaghegh Ardabili, Ardabil 56199‑11367, Iran
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of decoherence on the evolution of quantum correlations has received tremendous attention in quantum information processing (Werlang et al. 2009; Maziero et al. 2010; Collins and Stephens 2015). As a result, one of themes in quantum information is the question: how does noise in the transmission channel affect the quantum correlations? In recent studies, the influence of common noise channels on a certain class of states in a two-qubit system have been investigated. Those, results show that the quantum correlations
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