TY - JOUR
T1 - Tetrapartite entanglement measures of generalized GHZ state in the noninertial frames
AU - Dong, Qian
AU - Carrillo, R. Santana
AU - Sun, Guo Hua
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2022 Chinese Physical Society and IOP Publishing Ltd.
PY - 2022/2
Y1 - 2022/2
N2 - Using a single-mode approximation, we carry out the entanglement measures, e.g., the negativity and von Neumann entropy when a tetrapartite generalized GHZ state is treated in a noninertial frame, but only uniform acceleration is considered for simplicity. In terms of explicit negativity calculated, we notice that the difference between the algebraic average π4 and geometric average Π4 is very small with the increasing accelerated observers and they are totally equal when all four qubits are accelerated simultaneously. The entanglement properties are discussed from one accelerated observer to all four accelerated observers. It is shown that the entanglement still exists even if the acceleration parameter r goes to infinity. It is interesting to discover that all 1-1 tangles are equal to zero, but 1-3 and 2-2 tangles always decrease when the acceleration parameter r increases. We also study the von Neumann entropy and find that it increases with the number of the accelerated observers. In addition, we find that the von Neumann entropy SABCDI, SABCIDI, SABICIDI and SAIBICIDI always decrease with the controllable angle θ, while the entropies S3-3 non, S3-2 non, S3-1 non and S3-0 non first increase with the angle θ and then decrease with it.
AB - Using a single-mode approximation, we carry out the entanglement measures, e.g., the negativity and von Neumann entropy when a tetrapartite generalized GHZ state is treated in a noninertial frame, but only uniform acceleration is considered for simplicity. In terms of explicit negativity calculated, we notice that the difference between the algebraic average π4 and geometric average Π4 is very small with the increasing accelerated observers and they are totally equal when all four qubits are accelerated simultaneously. The entanglement properties are discussed from one accelerated observer to all four accelerated observers. It is shown that the entanglement still exists even if the acceleration parameter r goes to infinity. It is interesting to discover that all 1-1 tangles are equal to zero, but 1-3 and 2-2 tangles always decrease when the acceleration parameter r increases. We also study the von Neumann entropy and find that it increases with the number of the accelerated observers. In addition, we find that the von Neumann entropy SABCDI, SABCIDI, SABICIDI and SAIBICIDI always decrease with the controllable angle θ, while the entropies S3-3 non, S3-2 non, S3-1 non and S3-0 non first increase with the angle θ and then decrease with it.
KW - dirac field
KW - entanglement measures
KW - generalized GHZ state
KW - noninertial frames
KW - tetrapartite
UR - http://www.scopus.com/inward/record.url?scp=85126273886&partnerID=8YFLogxK
U2 - 10.1088/1674-1056/ac2299
DO - 10.1088/1674-1056/ac2299
M3 - Artículo
AN - SCOPUS:85126273886
SN - 1674-1056
VL - 31
JO - Chinese Physics B
JF - Chinese Physics B
IS - 3
M1 - 030303
ER -