Dissipative Evolution of the Qubit State in the Tomographic-Probability Representation
- Authors: Avanesov A.S.1,2, Man’ko V.I.1,2
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Affiliations:
- Department of General and Applied Physics, Moscow Institute of Physics and Technology (State University)
- Lebedev Physical Institute, Russian Academy of Sciences
- Issue: Vol 38, No 4 (2017)
- Pages: 311-323
- Section: Article
- URL: https://journals.rcsi.science/1071-2836/article/view/248179
- DOI: https://doi.org/10.1007/s10946-017-9647-3
- ID: 248179
Cite item
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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