Tetrapartite entanglement measures of GHZ state with nonuniform acceleration

Qian Dong, Guo Hua Sun, Mohamad Toutounji, Shi Hai Dong

Research output: Contribution to journalArticle

Abstract

Using the single-mode approximation, we first calculate entanglement measures such as negativity and von Neumann entropy for a tetrapartite GHZ entangled system in nonuniform acceleration frame. We then analyse the whole entanglement measures, the algebraic residual measure π4 and geometric average measure Π4. We find that the difference between π4 and Π4 is very slight or disappears with the increasing accelerated observers. The entanglement properties are compared among the different cases from two accelerated observers and others remaining stationary to all four accelerated observers, which are accelerated in nonuniform acceleration. The results presented here show that there still exists entanglement for the complete system even when acceleration r tends to infinity. The degree of entanglement is always equal to zero for the 1-1 tangle case. We also verify the existence of the Unruh effect even in nonuniform acceleration frame. It is also found that the von Neumann entropy increases with the increasing accelerated observers. It is interesting to see that S2 and S3 with two and three involved noninertial qubits first increase and then decrease with the acceleration parameter r, but S2 is equal to constant 1 for zero involved noninertial qubit. The special cases in the limit ra,b,c,d → π/4 are also studied.

Original languageEnglish
Article number163487
JournalOptik
Volume201
DOIs
StatePublished - Jan 2020

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Entropy
entropy
infinity
approximation

Keywords

  • 03.65.Ud
  • 03.67.-a
  • 03.67.Mn
  • 04.70.Dy
  • Dirac field
  • Entanglement
  • GHZ state
  • Nonuniform acceleration frame
  • Tetrapartite

Cite this

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title = "Tetrapartite entanglement measures of GHZ state with nonuniform acceleration",
abstract = "Using the single-mode approximation, we first calculate entanglement measures such as negativity and von Neumann entropy for a tetrapartite GHZ entangled system in nonuniform acceleration frame. We then analyse the whole entanglement measures, the algebraic residual measure π4 and geometric average measure Π4. We find that the difference between π4 and Π4 is very slight or disappears with the increasing accelerated observers. The entanglement properties are compared among the different cases from two accelerated observers and others remaining stationary to all four accelerated observers, which are accelerated in nonuniform acceleration. The results presented here show that there still exists entanglement for the complete system even when acceleration r tends to infinity. The degree of entanglement is always equal to zero for the 1-1 tangle case. We also verify the existence of the Unruh effect even in nonuniform acceleration frame. It is also found that the von Neumann entropy increases with the increasing accelerated observers. It is interesting to see that S2 and S3 with two and three involved noninertial qubits first increase and then decrease with the acceleration parameter r, but S2 is equal to constant 1 for zero involved noninertial qubit. The special cases in the limit ra,b,c,d → π/4 are also studied.",
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Tetrapartite entanglement measures of GHZ state with nonuniform acceleration. / Dong, Qian; Sun, Guo Hua; Toutounji, Mohamad; Dong, Shi Hai.

In: Optik, Vol. 201, 163487, 01.2020.

Research output: Contribution to journalArticle

TY - JOUR

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