On the basis of the q-binomial theorem we construct the q-binomial state for a q-deformed boson which interpolates between the q-number state and the q-coherent state. The properties of the q-binomial state are also discussed.

Physical Review AApr 1, 199425 citations

Statistical properties and nonlocal correlation between a two qubits and optical field in the even deformed binomial distribution

Abdullah M. Almarashi, Ali Algarni, S. Abdel‐Khalek +1 more

Journal of Intelligent & Fuzzy SystemsFeb 17, 20202 citations

International Journal of Theoretical Physics

q-deformed probability and binomial distribution

Won-Sang Chung, Ki-Soo Chung, Hye-Jung Kang, Nan-Young Choi

Published Nov 1, 1995• 2 citations

Publisher

DOI: 10.1007/bf00673832

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In this article we estimate the nonlocal correlation between a two qubits and OF (optical field) initially started in the even deformed binomial distribution (EDBS). Explicit forms of the EDBS as the initial states of the RF are presented. We investigate the dynamical and statistical properties of the linear entropy as a quantifier of the correlation and purity of the proposed system. Also, the correlation between the two qubits is quantified by the negativity. Some statistical estimations of the RF are investigated by of Mandel parameter and compared by the two types of correlation The relation between the qubit inversion, two qubits-RF nonlocal correlation, negativity and Mandel parameter is obtained. The effective of Stark shift on the dynamical operators for the RF distribution is examined. The results are shown the a high amount of field-qubit nonlocal is reached for a high value of deformation parameter. Also, the statistical properties of the field is Poissonian or sub-Poissonian photon distribution.In this article we estimate the nonlocal correlation between a two qubits and OF (optical field) initially started in the even deformed binomial distribution (EDBS). Explicit forms of the EDBS as the initial states of the RF are presented. We investigate the dynamical and statistical properties of the linear entropy as a quantifier of the correlation and purity of the proposed system. Also, the correlation between the two qubits is quantified by the negativity. Some statistical estimations of the RF are investigated by of Mandel parameter and compared by the two types of correlation The relation between the qubit inversion, two qubits-RF nonlocal correlation, negativity and Mandel parameter is obtained. The effective of Stark shift on the dynamical operators for the RF distribution is examined. The results are shown the a high amount of field-qubit nonlocal is reached for a high value of deformation parameter. Also, the statistical properties of the field is Poissonian or sub-Poissonian photon distribution.

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On the

q

-deformed Poisson distribution (New Development of Infinite-Dimensional Analysis and Quantum Probability)

{)}_{\mathit{q}}

coherent state. This fact is a q extension of the fact that the ordinary binomial state is a particular su(2) coherent state when the Holstein-Primakoff transformation is employed.