Tetrapartite entanglement measures of generalized GHZ state in the noninertial frames  

作　　者：Qian Dong R.Santana Carrillo Guo-Hua Sun Shi-Hai Dong 董茜;R.Santana Carrillo;孙国华;董世海(Centro de Investigacion en Computacion,Instituto Politecnico Nacional,UPALM,CDMX 07738,Mexico;Catedratica CONACyT,Centro de Investigacion en Computacion,Instituto Politenico Nacional,UPALM,CDMX 07738,Mexico;Research Center for Quantum Physics,Huzhou University,Huzhou 313000,China;Laboraorio de Informacion Cuantica,CIDETEC,Instituto Poitenico Nacional,UPALM,CDMX 07700,Mexico)

机构地区：[1]Centro de Investigacion en Computacion,Instituto Politecnico Nacional,UPALM,CDMX 07738,Mexico [2]Catedratica CONACyT,Centro de Investigacion en Computacion,Instituto Politenico Nacional,UPALM,CDMX 07738,Mexico [3]Research Center for Quantum Physics,Huzhou University,Huzhou 313000,China [4]Laboraorio de Informacion Cuantica,CIDETEC,Instituto Poitenico Nacional,UPALM,CDMX 07700,Mexico

出　　处：《Chinese Physics B》2022年第3期170-176,共7页中国物理B（英文版）

基　　金：partially supported by the 20210414-SIPIPN, Mexico。

摘　　要：Using a single-mode approximation, we carry out the entanglement measures, e.g., the negativity and von Neumann entropy when a tetrapartite generalized GHZ state is treated in a noninertial frame, but only uniform acceleration is considered for simplicity. In terms of explicit negativity calculated, we notice that the difference between the algebraic average π_(4) and geometric average Π_(4) is very small with the increasing accelerated observers and they are totally equal when all four qubits are accelerated simultaneously. The entanglement properties are discussed from one accelerated observer to all four accelerated observers. It is shown that the entanglement still exists even if the acceleration parameter r goes to infinity. It is interesting to discover that all 1-1 tangles are equal to zero, but 1-3 and 2-2 tangles always decrease when the acceleration parameter γ increases. We also study the von Neumann entropy and find that it increases with the number of the accelerated observers. In addition, we find that the von Neumann entropy S_(ABCDI), S_(ABCIDI), S_(ABICIDI) and S_(AIBICIDI) always decrease with the controllable angle θ, while the entropies S_(3-3 non), S_(3-2 non), S_(3-1 non) and S_(3-0 non) first increase with the angle θ and then decrease with it.

关 键 词：tetrapartite generalized GHZ state entanglement measures dirac field noninertial frames 

分 类 号：O413[理学—理论物理]