Multipartite entanglement of fermionic system in accelerated frames

Abstract

We investigate the entanglement measures of tripartite W-State and GHZ-state in noninertial frame through the coordinate transformation between Minkowski and Rindler. First it is shown that all three qubits undergo in a uniform acceleration $a$ of W-State, we find that the one-tangle, two-tangle, and $\pi$-tangle decrease when the acceleration parameter $r$ increases, and the two-tangle cannot arrive to infinity of the acceleration. Next we show that the one qubit goes in a uniform acceleration $a_1$ and the other two undergo in a uniform acceleration $a$ of GHZ-state, we find that the two-tangle is equal to zero and $N_{B_I(A_I{C}_I)}=N_{C_I(A_I{B}_I)}\ne N_{A_I(B_I{C}_I)}$, but one-tangle and $\pi$-tangle never reduce to zero for any acceleration.

9 pages, 9 figures