Multi-body Entangled State In Non-inertial Frame

Entanglement is an important feature of quantum mechanics that differs from clas-sical physics,and it is also an important resource in the field of quantum information.Due to the existence of rotation and acceleration in the real world,we need to consider the effect of acceleration on quantum information transmission.In addition,from the perspective of practical application,quantum systems do not exist in isolation,but in-teract with the surrounding environment,resulting in the loss of entanglement resources.Therefore,it is important to study the influence of noise channels on entanglement.This paper studies the effects of acceleration and environment on quantum entan-glement.The main contents are as follows:?I?:In the closed system,when all the subsystems are in a noninertial frame,the tripartite entanglement changes of the W state and GHZ state.As the acceleration of the observer increases,the entanglement decreases gradually.When the acceleration goes to infinity.one-tangle and4)-tangle both never go down to zero.?II?:In the open system,for the tetrapartite GHZ state,We discuss the entangle-ment of tetrapartite system when the subsystem is in a phase damping environment.It is found that the acceleration of the observer and the interaction between the environment and the system will lead to the reduction of entanglement.Whether one subsystem or two subsystems are in the noise,the entanglement will degenerate to 0.For the tetrapartite W state,We consider the case of entanglement when only one subsystem is in a phase-damped environment and the acceleration of the observer approaches infinity.The results showed that with the increase of system and the environment interaction time,₄-?₄first decreases then increases gradually,but overall difference is very small.