Entanglement measures of a new type pseudo-pure state in accelerated frames
Qian Dong, Ariadna J. Torres-Arenas, Guo-Hua Sun, Wen-Chao Qiang, Shi‐Hai Dong · Frontiers of Physics · 2018
In this work we analyze the characteristics of quantum entanglement 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 \({N_{A{B_I}}}\left( {\rho _{A{B_I}}^{{T_A}}} \right)\) increases with F but decreases with the variable y , while the variation of the negativity \({N_{{B_I}{B_{II}}}}\left( {\rho _{{B_I}{B_{II}}}^{{T_{{B_I}}}}} \right)\) is opposite to that of the negativity \({N_{A{B_I}}}\left( {\rho _{A{B_I}}^{{T_A}}} \right)\) . We also study the von Neumann entropies S ( ρAB I ) and S ( ρB I B II ). We find that the S ( ρAB I ) increases with variable y but S(ρBIBII ) is independent of it. However, both S ( ρAB I ) and S ( ρB I B II ) first decreases with F and then increases with it. The concurrences C ( ρAB I ) and C ( ρB I B II ) 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.