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Journal of information science and engineering

Photon Statistics, Tomographic Entropy of a Single Qubit-Radiation Field in the Even Binomial Distribution.

Ali Algarni, Abdullah M. Almarashi, S. Abdel‐Khalek

Published Jan 1, 2020• 0 citations
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Objective: The study was conducted to estimate the nonlocal correlation between a single qubit and radiation field initially considered in the excited and nonlinear binomial distribution. Material and method: Explicit forms of the excited and nonlinear binomial states are presented. We investigate the dynamical properties of Wehrl entropy as an indicator of the statistical properties of the radiation field during the time evolution. The non-classicality of the field based on the evolution of Mandel parameter also discussed Results: Results of our study show that the Wehrl entropy, qubit-field entanglement and Mandel parameter at the periodic time are an opposite monotonic behavior. Also, a high amount of the entanglement is reached for a high value of deformation parameter. Finally the statistical properties of the field is Poissonian or sub-Poissonian photon distribution. Conclusion: It is concluded from the study that the Wehrl entropy and Mandel parameter were a good indications of the statistical and dynamical properties of the field during the interaction time.

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In this paper, a quantum scheme for a two-qubit system (2QS) and field initially prepared in the excited negative binomial distribution is presented. The field photon statistics is detected from the evolution of the Mandel parameter, while the evolution of von Neumann entropy detects the nonlocal correlation between the 2QS and radiation field. The concurrence is used to detect the qubit-qubit entanglement during the time evolution. The dynamical properties of single-qubit and two-qubit quantum Fisher information are investigated. We visualize the number of photon excitations on the field in negative binomial states with influence of photon success probability. A connection is provided between the dynamical behaviors of these statistical quantities. We have found that the proposed quantities are strongly influenced by the number of excited photons of the field in negative binomial states and photon success probability.
Objective: The study was conducted to estimate the nonlocal correlation between a single qubit and radiation field initially considered in the excited and nonlinear binomial distribution. Material and method: Explicit forms of the excited and nonlinear binomial states are presented. We investigate the dynamical properties of Wehrl entropy as an indicator of the statistical properties of the radiation field during the time evolution. The non-classicality of the field based on the evolution of Mandel parameter also discussed Results: Results of our study show that the Wehrl entropy, qubit-field entanglement and Mandel parameter at the periodic time are an opposite monotonic behavior. Also, a high amount of the entanglement is reached for a high value of deformation parameter. Finally the statistical properties of the field is Poissonian or sub-Poissonian photon distribution. Conclusion: It is concluded from the study that the Wehrl entropy and Mandel parameter were a good indications of the statistical and dynamical properties of the field during the interaction time.