Dissipative Evolution of the Qubit State in the Tomographic-Probability Representation


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Abstract

We consider the evolution of qubit states for the Demkov problem in the presence of dephasing processes in the spin tomographic-probability representation. We present an explicit solution of the spin tomogram in terms of the 1F2 hypergeometric function. We calculate the tomographic Shannon and q entropies through the solution of the master equation in the form of tomographic-probability distribution of the qubit states obtained.

About the authors

Ashot S. Avanesov

Department of General and Applied Physics, Moscow Institute of Physics and Technology (State University); Lebedev Physical Institute, Russian Academy of Sciences

Author for correspondence.
Email: avanesov@phystech.edu
Russian Federation, Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700; Leninskii Prospect 53, Moscow, 119991

Vladimir I. Man’ko

Department of General and Applied Physics, Moscow Institute of Physics and Technology (State University); Lebedev Physical Institute, Russian Academy of Sciences

Email: avanesov@phystech.edu
Russian Federation, Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700; Leninskii Prospect 53, Moscow, 119991

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