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Statistical Study of the Entanglement for Qubit Interacting with an Electromagnetic Field

Author

Listed:
  • Neveen Sayed-Ahmed
  • M. M. Amein
  • Taghreed M. Jawa
  • Tahani A. Aloafi
  • F. S. Bayones
  • Azhari A. Elhag
  • J. Bouslimi

Abstract

A statistical method is applied to predict the behaviour of a quantum model consisting of a qubit interacting with a single‐mode cavity field. The qubit is prepared in excited state while the field starts from the binomial distribution state. The wave function of the proposed model is obtained. A von Neumann entropy is used to investigate the behaviour of the entanglement between the field and the qubits. Moreover, the atomic Q and Wigner functions are used to identify the behaviour of the distribution in a phase space. The simulation method is used to estimate the parameters of the proposed model to reach the best results. A numerical study is performed to estimate the specific dependency of the binomial distribution state. The results of entanglement were compared with the atomic Q and Wigner functions. The results showed that there are many maximum values of entanglement periodically. The results also confirmed a correlation between von Neumann entropy, the atomic Q, and Wigner functions.

Suggested Citation

  • Neveen Sayed-Ahmed & M. M. Amein & Taghreed M. Jawa & Tahani A. Aloafi & F. S. Bayones & Azhari A. Elhag & J. Bouslimi, 2021. "Statistical Study of the Entanglement for Qubit Interacting with an Electromagnetic Field," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:5571796
    DOI: 10.1155/2021/5571796
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    References listed on IDEAS

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    1. C. Monroe, 2002. "Quantum information processing with atoms and photons," Nature, Nature, vol. 416(6877), pages 238-246, March.
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