Decoherence of multipartite entanglement states under amplitude-damping environment in non-inertial frames
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
Decoherence of multipartite entanglement states under amplitude-damping environment in non-inertial frames Kwang-Il Kima , Myong Chol Pak, and Tae-Hyok Kim Department of Physics, Kim Il Sung University, Ryongnam Dong, Taesong District, Pyongyang, Democratic People’s Republic of Korea Received 19 February 2020 Published online 16 June 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. In this paper, we investigate the decoherence of two-qubit state under amplitude-damping channel in non-inertial frames and find some results differ from those of previous study. In case of only Bob’s qubit undergoing decoherence, the entanglement sudden death (ESD) does not appear for any acceleration parameter. By using three-tangle τ we also investigate decoherence of GHZ state under amplitude-damping channel in non-inertial frames. In this case we find that the ESD never appears even though all qubits are under amplitude-damping channel. Our work will further enrich the results of decoherence of multipartite entanglement in non-inertial frames.
1 Introduction The study of quantum information in non-inertial frames establishes a connection between two main disciplines of modern physics, general relativity and quantum informatics, and is also very important in practical problems such as quantum communication. There have been many studies on quantum information in non-inertial frames, which has produced interesting results [1–6]. In particular, dynamics of entanglement of fermionic tripartite quantum systems in non-inertial frames were studied in references [7–14] using negativity, entropy and π-tangle as the measurements of entanglement. On the other hand, an entangled quantum system inevitably interacts with its environment, which usually degrades its entanglement. Therefore it is also practically important to study decoherence of quantum entanglement in non-inertial frames. Wang and Jing [15] have investigated the quantum decoherence of two-qubit systems in a non-inertial frame when each qubit’s state is coupled to the noisy environment. They found that the ESD can appear for any values of acceleration when the total system is under the amplitude-damping channel. Their result also showed that the ESD can occur only when the acceleration parameter is greater than a “critical point” if just one qubit undergoes decoherence. Their work has been cited in subsequent studies [16–26], in which dynamics of multipartite entanglement under different quantum channels in non-inertial frames are investigated. Khan [16] studied effects of decoherence on the entanglement generated by the Unruh effect in non-inertial frames by using a
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phase-damping, phase-flip and depolarizing channels for bipartite systems. The negativity and π-tangle are used to quantify the entanglement of multipartite quantum systems in non-inertial frames when the systems interact with various noisy environments [17–20]. In no
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