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Entanglement measures of a new type pseudo-pure state in accelerated frames

Frontiers of physics 2019年第2期14卷 23-29页

作者： Qian Dong ariadna j. torres-arenas Guo-Hua Sun Wen-Chao Qiang Shi-Hai Dong Laboratorio de Informacion Cuantica CIDETECInstituto Polit .crrico NacionalUPALMCD MX 07700Mexico Catedratica CONACyT Centro de Investigacion en ComputacionInstituto Politecnico NacionalUPALMMexico D. F. 07700Mexico Faculty of Science Xi'an University of Architecture and TechnologyXi'an 710055China

In this work we analyze the characteristics of quantum entangleinent of the Dirac field in noninertial reference frames in the context of a new type pseudo-pure state, which is composed of the Bell states. This will help us to understand the relationship between the relativity and quantum information theory. Some states will be changed from entangled states into separable ones around the critical value F = 1/4, but there is no such a critical value for the variable y related to acceleration a. We find that the negativity Nas (ρ^TA AB 1) increases with F but decreases with the variable y、while the variation of the negativity Nb1b11(ρ^TB1 B1B11)is opposite to that of the negativity N AB1(ρ^TA AB1). We also study the von Neumann entropies S(ρAB1) and S(ρB1B11)、We find that the S(ρAB1) increases with variable y but S(ρB1B11) is independent of it. However, both S(ρAB1) and S(ρB1B11) first decreases with F and then increases with it. The concurrences C(ρAB1) and C(ρB1B11) are also discussed. We find that the former decreases with y while the latter increases with y but both of them first increase with F and then decrease with it.

关键词： negativity pseudo-pure state noninertial frame entanglement von Neumann entropy concurrence

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Tetrapartite entanglement measures of W-class in noninertial frames

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Chinese Physics B 2019年第7期28卷 122-130页

作者： ariadna j. torres-arenas Edgar O. Lopez-Zuniga j. Antonio Saldana-Herrera Qian Dong Guo-Hua Sun Shi-Hai Dong Laboratorio de Información Cuantica CIDETEC Instituto Politecnico Nacional UPALM CDMX 07700 Mexico Facultad de Ciencias Fisico Matematicas Universidad Autónoma de Nuevo Leon San Nicolas de los Garza NL 66450 Mexico Catedratica CONACyT Centro de Investigacion en Computacion Instituto Politecnico Nacional UPALM CDMX 07738 Mexico

We present the entanglement measures of a tetrapartite W-class entangled system in a noninertial frame, where the transformation between Minkowski and Rindler coordinates is *** cases are ***, when one qubit has uniform acceleration whilst the other three remain ***, when two qubits have nonuniform accelerations and the others stay *** 1–1 tangle, 1–3 tangle, and whole entanglement measurements π4 and Π4, are studied and illustrated with graphics through their dependence on the acceleration parameter rd for the first case and rc and rd for the second *** is found that the negativities(1–1 tangle and 1–3 tangle) and π-tangle decrease when the acceleration parameter rd or in the second case rc and rd increase, remaining a nonzero entanglement in the maj.rity of the *** means that the system will be always entangled except for special *** is shown that only the 1–1 tangle for the first case vanishes at infinite accelerations, but for the second case the 1–1 tangle disappears completely when r > *** analytical expression for the von Neumann information entropy of the system is found and we note that it increases with the acceleration parameter.

关键词： W-class tetrapartite entanglement Dirac field noninertial frames nonuniform acceleration

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Tetrapartite entanglem ent features of W-C lass state in uniform acceleration

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Frontiers of physics 2020年第1期15卷 1-8页

作者： Qian Dong ariadna j.torres-arenas Guo-Hua Sun Shi-Hai Dong Laboratorio de Informacion Cuantica CIDETECInstituto Politecnico NacionalUPALMCDMX 07700Mexico Catedratica CONACyT Centro de Investigacion en ComputacionInstituto Politecnico NacionalUPALMCDMX 07738Mexico

Using the single-mode approximatiou,we first calculate entanglement measures such as negativity(1-3 and 11 tangles)and von Neumann entropy for a tetrapartite W-Class system in noninertial fiarne and then anal^e the whole entanglement measures,the residualπ4 and geometricП4 average of *** that the difference betweenπ4 andП4 is very small or disappears with the increasing accelerated *** entanglement properties are compared among the different cases from oue accelerated observer to four accelerated *** results show that there still exists entanglement for the complete system even when accelemtion r tends to *** degree of entanglement is disappeared for the 1-1 tangle case when the acceleration r>*** reexamine the Unriih effect in noninertiai *** is shown that the entanglement system in which only one qubit is accelerated is more robust than those eutangled systems in whicli two or three or four qubits are *** is also found that the von Neumann entropy S of the total system always increases with the increasing accelerated observers,but the Sκξand Sκζδwith two and three involved noniuertial qubits first increases and then decreases with the acceleration parameter r,but they are equal to constants 1 and 0.811278 respectively for zero involved iioniiiertial qubit.

关键词： tetrapartite W-Class state entanglement Dirac field noninertiai frames

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