JISE


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Journal of Information Science and Engineering, Vol. 36 No. 6, pp. 1233-1242


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


ALI ALGARNI1, ABDULLAH M. ALMARASHI1 AND S. ABDEL-KHALEK2,3
1Statistics Department
King Abdulaziz University
Jeddah, 21589 Saudi Arabia

2Mathematics and Statistics Department
Taif University
Taif, 21974 Saudi Arabia

3Mathematics and Statistics Department
Sohag University
Sohag, 82524 Egypt


In this article we present a scheme of the interaction between a single qubit (SQ) and radiation field (RF) follows the even “binomial distribution” (BD). The density matrix of the SQ-RF system is given in terms of the number of photon transition and RF distribution parameters. The photon statistics and topographical properties of the RF are quantified by the evolution of Mandel parameter and tomographic entropy respectively. We explore the relation between the tomographic entropy and Wehrl entropy of the RF of the estimators of model parameters in the even BD. The results show that the SQ-RF correlation is connected by the tomographical and statistical properties of the proposed system.


Keywords: even binomial distribution, mandel parameter, Wehrl entropy, tomographic entropy, photon statistics

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