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Ehancement of quantum coherence and three-body entanglement by dynamical decoupling pulses

HE Qi-liang, DING Min, Song Xiao-Shu, XIAO Yong-Jun

Published Jan 1, 2020• 0 citations
OpenAlex

Abstract

The influence of dynamical decoupling pulses on the quantum coherence, quantum entanglement and quantum discord in cavity quantum electrodynamics system is investigated. We find that the quantum coherence and non-classical correlations (entanglement and quantum discord) between two atoms can be increased by applying a train of dynamical decoupling pulses. Furthermore, by making use of the trace distance, we also explore the reason for enhancement of quantum coherence of two atoms. It is shown that the dynamical decoupling pulses can control and accelerate the return of quantum information from other subsystems to two atoms, and reduce the flow of quantum information between two atoms and other subsystems, which leads to the increase of quantum coherence and non-classical correlations between two atoms. Finally, we investigate the three-body entanglement of the system by using state preparation fidelity. It demonstrates that the genuine three-body entanglement may emerge in the system during the evolution of time. In particular, the period of emergence of three-body entanglement can be adjusted and enhanced by dynamical decoupling pulses.

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The influence of dynamical decoupling pulses on the quantum coherence, quantum entanglement and quantum discord in cavity quantum electrodynamics system is investigated. We find that the quantum coherence and non-classical correlations (entanglement and quantum discord) between two atoms can be increased by applying a train of dynamical decoupling pulses. Furthermore, by making use of the trace distance, we also explore the reason for enhancement of quantum coherence of two atoms. It is shown that the dynamical decoupling pulses can control and accelerate the return of quantum information from other subsystems to two atoms, and reduce the flow of quantum information between two atoms and other subsystems, which leads to the increase of quantum coherence and non-classical correlations between two atoms. Finally, we investigate the three-body entanglement of the system by using state preparation fidelity. It demonstrates that the genuine three-body entanglement may emerge in the system during the evolution of time. In particular, the period of emergence of three-body entanglement can be adjusted and enhanced by dynamical decoupling pulses.
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We investigate the quantum discord dynamics in a cavity quantum electrodynamics system, which consists of two noninteracting two-level atoms driven by independent optical fields and classical fields, and find that the quantum discord vanishes only asymptotically although entanglement disappears suddenly during the time evolution in the absence of classical fields. It is shown that the amount of quantum discord can be increased by adjusting the classical driving fields because the increasing degree of the amount of quantum mutual information is greater than classical correlation by applying the classical driving fields. Finally, the influence of the classical driving field on the fidelity of the system is also examined.
Dynamical decoupling protocols are one of the most used tools for efficient quantum error corrections and for reservoir engineering. In this paper we study the effect of dynamical decoupling pulses on the preservation of both quantum and classical correlations, and their influence on the intriguing phenomenon of time-invariant discord. We study two qubits experiencing local dephasing with an Ohmic class spectrum and subject to dynamical decoupling protocols. We investigate the connection between the dynamics of both classical and quantum correlations and the behavior of information flow between system and environment. Finally, we establish a set of necessary conditions for which time-invariant discord can be created using dynamically decoupling techniques.
Time evolution dynamics of three non-coupled two-level atoms independently interacting with their reservoirs is solved exactly by considering a damping Lorentzian spectral density. For three atoms initially prepared in Greenberger—Horne—Zeilinger-type state, quantum correlation dynamics in a Markovian reservoir is compared with that in a non-Markovian reservoir. By increasing detuning quantity in the non-Markovian reservoir, three-atom correlation dynamics measured by negative eigenvalue presents a trapping phenomenon which provides long-time quantum entanglement. Then we compare the correlation dynamics of three atoms with that of two atoms, measured by quantum entanglement and quantum discord for an initial robuster-entangled type state. The result further confirms that quantum discord is indeed different from quantum entanglement in identifying quantum correlation of many bodies.