Multipartite Quantum Entanglement In Noninertial Frames

Quantum entanglement is a vital physical resource for quantum information,it has played an important role in quantum communication,quantum teleportation,and var-ious tasks of quantum computing.Because of this,people are paying more and more attention to the various properties of quantum entanglement.In recent years,The study of multipartite quantum entanglement in noninertial frames has gradually attracted the attention of physicists and mathematicians and a series of meaningful results have been achieved.In this paper,we investigate the entanglement in noninertial frames by using the partial entropy of entanglement and the linear contraction criterion based on W-state and GHZ state.The main research contents are as follows:(?):Studying the tetrapartite entanglement of GHZ state in noninertial frames by using the partial entropy of entanglement.We assume that the observers are in an en-vironment without any noise and we study the entanglement when 1-4 observers are accelerated.It is mainly that we first assume the number of accelerated observers,and we trace over the part ? to obtain the reduced density operator according to the Rindler coordinates,then we use the partial entropy of entanglement to investigative the tetra-partite entanglement of GHZ state,and we plot to get the entanglement changes in the end.It is shown that the partial entropy of entanglement of the tetrapartite system increase as the increasing acceleration.(?):Studying the tripartite entanglement of W-State in noninertial frames by using linear contraction criterion.Three cases are considered.First,we discuss that one ob-server is accelerated,and we trace over the part ? to obtain the reduced density operator according to the Rindler coordinates,then we rearrange the bipartite subsystem and tri-partite system of tripartite W-State by using realignment criterion and linear contraction criterion,and we get the bipartite and tripartite entanglement according to the quantity(?),we plot to get the entanglement changes in the end.Second,we suppose that two observers are moving with uniform acceleration or they are moving with different acceleration.Finally,we consider that all observers are accelerated.Repeating the operation of the first case,we study the entanglement of these two cases in turn.It is shown that show that the bipartite and tripartite entanglement of tripartite W-State decrease with the increasing acceleration when 1-3 observers are accelerated,and the more the observer accelerates,the faster the tripartite entanglement decrease.