TY - JOUR
T1 - Pentapartite Entanglement Measures of GHZ and W-Class State in the Noninertial Frame
AU - Zepeda, Juan Luis Manríquez
AU - Paz, Juvenal Rueda
AU - Aoki, Manuel Avila
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/6
Y1 - 2022/6
N2 - We study both pentapartite GHZ and W-class states in the noninertial frame and explore their entanglement properties by carrying out the negativities including 1-4, 2-3, and 1-1 tangles, the whole entanglement measures such as algebraic and geometric averages π5 and Π5, and von Neumann entropy. We illustrate graphically the difference between the pentapartite GHZ and W-class states. We find that all 1-4, 2-3 tangles and the whole entanglements, which are observer dependent, degrade more quickly as the number of accelerated qubits increases. The entanglements of these quantities still exist even at the infinite acceleration limit. We also notice that all 1-1 tangles of pentapartite GHZ state Nαβ = NαI β = NαI βI = 0 where α, β ∈ (A, B, C, D, E), whereas all 1-1 tangles of the W-class state Nαβ, NαI β and NαI βI are unequal to zero, e.g., Nαβ = 0.12111 but NαI β and NαI βI disappear at r > 0.61548 and r > 0.38671, respectively. We notice that the entanglement of the pentapartite GHZ and W-class quantum systems decays faster as the number of accelerated particles increases. Moreover, we also illustrate the difference of von Neumann entropy between them and find that the entropy in the pentapartite W-class state is greater than that of GHZ state. The von Neumann entropy in the pentapartite case is more unstable than those of tripartite and tetrapartite subsystems in the noninertial frame.
AB - We study both pentapartite GHZ and W-class states in the noninertial frame and explore their entanglement properties by carrying out the negativities including 1-4, 2-3, and 1-1 tangles, the whole entanglement measures such as algebraic and geometric averages π5 and Π5, and von Neumann entropy. We illustrate graphically the difference between the pentapartite GHZ and W-class states. We find that all 1-4, 2-3 tangles and the whole entanglements, which are observer dependent, degrade more quickly as the number of accelerated qubits increases. The entanglements of these quantities still exist even at the infinite acceleration limit. We also notice that all 1-1 tangles of pentapartite GHZ state Nαβ = NαI β = NαI βI = 0 where α, β ∈ (A, B, C, D, E), whereas all 1-1 tangles of the W-class state Nαβ, NαI β and NαI βI are unequal to zero, e.g., Nαβ = 0.12111 but NαI β and NαI βI disappear at r > 0.61548 and r > 0.38671, respectively. We notice that the entanglement of the pentapartite GHZ and W-class quantum systems decays faster as the number of accelerated particles increases. Moreover, we also illustrate the difference of von Neumann entropy between them and find that the entropy in the pentapartite W-class state is greater than that of GHZ state. The von Neumann entropy in the pentapartite case is more unstable than those of tripartite and tetrapartite subsystems in the noninertial frame.
KW - GHZ and W-class states
KW - negativity
KW - noninertial frame
KW - von Neumann entropy
UR - http://www.scopus.com/inward/record.url?scp=85131441406&partnerID=8YFLogxK
U2 - 10.3390/e24060754
DO - 10.3390/e24060754
M3 - Artículo
C2 - 35741475
AN - SCOPUS:85131441406
SN - 1099-4300
VL - 24
JO - Entropy
JF - Entropy
IS - 6
M1 - 754
ER -