Genuine tripartite entanglement and geometric quantum discord in entangled three-body Unruh−DeWitt detector system

doi:10.1007/s11467-024-1398-3

Front. Phys.

2024, Vol. 19

Issue (5) : 54201 https://doi.org/10.1007/s11467-024-1398-3

Genuine tripartite entanglement and geometric quantum discord in entangled three-body Unruh−DeWitt detector system

Tingting Fan, Cuihong Wen, Jiliang Jing, Jieci Wang(

)

Department of Physics, and Collaborative Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

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Abstract

We studied the quantum correlations of a three-body Unruh−DeWitt detector system using genuine tripartite entanglement (GTE) and geometric quantum discord (GQD). We considered two representative three-body initial entangled states, namely the GHZ state and the W state. We demonstrated that the quantum correlations of the tripartite system are completely destroyed at the limit of infinite acceleration. In particular, it is found that the GQD of the two initial states exhibits “sudden change” behavior with increasing acceleration. It is shown that the quantum correlations of the W state are more sensitive than those of the GHZ state under the effect of Unruh thermal noise. The GQD is a more robust quantum resource than the GTE, and we can achieve robustness in discord-type quantum correlations by selecting the smaller energy gap in the detector. These findings provide guidance for selecting appropriate quantum states and resources for quantum information processing tasks in a relativistic setting.

Keywords Unruh−DeWitt detector Unruh effect relativistic quantum information geometric quantum discord

Corresponding Author(s): Jieci Wang

About author:

^* These authors contributed equally.

Issue Date: 01 April 2024

Cite this article:

Tingting Fan,Cuihong Wen,Jiliang Jing, et al. Genuine tripartite entanglement and geometric quantum discord in entangled three-body Unruh−DeWitt detector system[J]. Front. Phys. , 2024, 19(5): 54201.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-024-1398-3
https://academic.hep.com.cn/fop/EN/Y2024/V19/I5/54201

Fig.1 The GTE and GQD of GHZ and W states as a function of the acceleration

q

. We set the fixed effective coupling parameter

v

= 0.2.

Fig.2 The GTE and GQD of GHZ and W state as a function of the effective coupling parameter

v

with the fixed acceleration

q

= 0.9.

Fig.3 The graph exhibits the GQD of the tripartite system for the GHZ state as functions of the interaction time duration

Δ

and the energy gap

Ω

, with

ε 2 = 8 π 2 ? 10 − 6

κ = 0.02

and

q = 0.9

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